Balok terpusat

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\par\pard\pvpg\phpg\posx1800\posy14652\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pusat Pengembangan Bahan Ajar - UMB {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14575 \shpright11297 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14647 \shpright11184 \shpbottom14899 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx8544\posy14650\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf4 EDIFRIZAL DARMA {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14899 \shpright11184 \shpbottom15151 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583 {\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583

{\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14563 \shpright11299 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx5705\posy1443\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Modul 2 \par\pard\pvpg\phpg\posx3408\posy1873\charscalex100\expndtw0 \ql\fs24\cf1\f2\fs32\cf7 KONSTRUKSI BALOK DENGAN \par\pard\pvpg\phpg\posx3122\posy2435\charscalex100\expndtw0 \ql\fs24\cf1\f2\fs32\cf7 BEBAN TERPUSAT DAN MERATA \par\pard\pvpg\phpg\posx6120\posy2994\charscalex100\expndtw0 \ql\fs24\cf1\f2\fs32\cf7 \par\pard\pvpg\phpg\posx1800\posy3883\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 A. Tujuan Instruksional \par\pard\pvpg\phpg\posx1800\posy4265\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Setelah selesai mengikuti kegiatan belajar ini diharapkan peserta kuliah STATIKA I \par\pard\pvpg\phpg\posx1800\posy4644\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dapat : \par\pard\pvpg\phpg\posx2160\posy5023\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 1 \par\pard\pvpg\phpg\posx2282\posy5023\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 . \par\pard\pvpg\phpg\posx2520\posy5023\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Menghitung reaksi, gaya melintang, gaya normal, dan momen lentur pada beban \par\pard\pvpg\phpg\posx2520\posy5403\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 terpusat. \par\pard\pvpg\phpg\posx2160\posy5784\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 2 \par\pard\pvpg\phpg\posx2282\posy5784\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 .

\par\pard\pvpg\phpg\posx2520\posy5784\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Menggambar bidang gaya melintang,bidang gaya normal,dan bidang momen \par\pard\pvpg\phpg\posx2520\posy6163\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 lentur pada beban terpusat. \par\pard\pvpg\phpg\posx2160\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 3 \par\pard\pvpg\phpg\posx2282\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 . \par\pard\pvpg\phpg\posx2520\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Menghitung \par\pard\pvpg\phpg\posx3883\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 reaksi,gaya \par\pard\pvpg\phpg\posx5223\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 melintang,gaya normal,dan \par\pard\pvpg\phpg\posx8242\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 momen \par\pard\pvpg\phpg\posx9192\posy6543\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 lentur pada \par\pard\pvpg\phpg\posx2520\posy6922\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 kombinasi beban terpusat dan terbagi merata. \par\pard\pvpg\phpg\posx2160\posy7301\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 4 \par\pard\pvpg\phpg\posx2282\posy7301\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 . \par\pard\pvpg\phpg\posx2520\posy7301\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Menggambar bidang gaya melintang,bidang gaya normal,dan bidang momen \par\pard\pvpg\phpg\posx2520\posy7680\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 lentur pada kombinasi beban terpusat dan merata. \par\pard\pvpg\phpg\posx1800\posy8436\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 B. Materi Belajar \par\pard\pvpg\phpg\posx1800\posy9197\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\ul Pengertian Istilah\ulnone {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1800 \shptop9574 \shpright3034 \shpbottom9826 {\sp{\sn fillColor}{\sv 65535}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy9576\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 1 \par\pard\pvpg\phpg\posx1922\posy9576\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 . \par\pard\pvpg\phpg\posx2047\posy9576\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 Tumpuan

\par\pard\pvpg\phpg\posx2520\posy9958\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan adalah tempat bersandarnya konstruksi dan tempat bekerjanya reaksi. \par\pard\pvpg\phpg\posx1800\posy10337\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Jenis tumpuan berpengaruh terhadap jenis konstruksi, sebab setiap jenis tumpuan \par\pard\pvpg\phpg\posx1800\posy10716\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 mempunyai karakteristik sendiri. Jenis tumpuan tersebut adalah : \par\pard\pvpg\phpg\posx2160\posy11095\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 a. \par\pard\pvpg\phpg\posx2520\posy11095\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Sendi / Engsel \par\pard\pvpg\phpg\posx2160\posy11475\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 b. \par\pard\pvpg\phpg\posx2520\posy11475\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Rol \par\pard\pvpg\phpg\posx2160\posy11854\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 c. \par\pard\pvpg\phpg\posx2520\posy11854\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Jepit \par\pard\pvpg\phpg\posx2160\posy12233\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 d. \par\pard\pvpg\phpg\posx2520\posy12233\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Gesek \par\pard\pvpg\phpg\posx2160\posy12615\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 e. \par\pard\pvpg\phpg\posx2520\posy12615\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Bidang \par\pard\pvpg\phpg\posx2160\posy12994\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 f. \par\pard\pvpg\phpg\posx2520\posy12994\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 DatarTumpuan Tali \par\pard\pvpg\phpg\posx2160\posy13373\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 g. \par\pard\pvpg\phpg\posx2520\posy13373\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pendel \par\pard\pvpg\phpg\posx2160\posy13752\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 h. \par\pard\pvpg\phpg\posx2520\posy13752\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Titik \par\pard\page\par

\par\pard\pvpg\phpg\posx1800\posy14652\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pusat Pengembangan Bahan Ajar - UMB {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14575 \

shpright11297 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14647 \shpright11184 \shpbottom14899 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}


\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583 {\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14563 \shpright11299 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn

fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dari jenis \u8211k jenis tumpuan tersebut yang banyak dijumpai dalam bangunan adalah \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tumpuan Sendi, Rol, dan Jepit. Oleh karena itu yang akan diuraikan karakteristiknya \par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 hanya tumpuan Sendi, Rol, Dan Jepit. \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan sendi dapat menerima gaya dari segala arah tetapi tidak mampu menahan \par\pard\pvpg\phpg\posx1800\posy3343\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 momen. Dengan demikian tumpuan sendi mempunyai dua gaya reaksi. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop4094 \shpright10433 \shpbottom7193 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw602\pich216\pngblip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\par\pard\pvpg\phpg\posx1800\posy8083\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Rol hanya dapat menerima gaya dalam arah tegak lurus Rol dan tidak mampu \par\pard\pvpg\phpg\posx1800\posy8463\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 menahan momen. Jadi tumpuan Rol hanya mempunyai satu gaya reaksi yang tegak \par\pard\pvpg\phpg\posx1800\posy8844\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 lurus dengan Rol. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop9595 \shpright10430 \shpbottom13073 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw648\pich261\pngblip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\par\pard\pvpg\phpg\posx1800\posy13584\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tumpuan Jepit dapat menahan gaya dalam segala arah dan dapat menahan momen. \par\pard\pvpg\phpg\posx1800\posy13963\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dengan demikian tumpuan jepit mempunyai tiga gaya reaksi. \par\pard\page\par



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\par\pard\pvpg\phpg\posx1800\posy5551\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 2 \par\pard\pvpg\phpg\posx1922\posy5551\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 . \par\pard\pvpg\phpg\posx2047\posy5551\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 Jenis Konstruksi \par\pard\pvpg\phpg\posx2520\posy5933\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Ada dua jenis konstruksi, yaitu konstruksi statis tertentu dan konstruksi statis tak \par\pard\pvpg\phpg\posx1800\posy6312\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tentu. Pada konstruksi statis tak tentu, besarnya reaksi dan momen dapat ditentukan \par\pard\pvpg\phpg\posx1800\posy6691\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dengan persamaan keseimbangan, sedang pada konstruksi statis tak tertentu tidak \par\pard\pvpg\phpg\posx1800\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 cukup \par\pard\pvpg\phpg\posx2635\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 diselesaikan \par\pard\pvpg\phpg\posx4090\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dengan \par\pard\pvpg\phpg\posx5072\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 syarat

\par\pard\pvpg\phpg\posx5914\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 keseimbangan. \par\pard\pvpg\phpg\posx7652\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk \par\pard\pvpg\phpg\posx8472\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 memermudah \par\pard\pvpg\phpg\posx10075\posy7071\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dan \par\pard\pvpg\phpg\posx1800\posy7452\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 mempercepat dalam menentukan jenis konstruksi dapat digunakan persamaan R = B + \par\pard\pvpg\phpg\posx1800\posy7831\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 2 \par\pard\pvpg\phpg\posx1922\posy7831\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 , dimana R = Jumlah reaksi yang akan ditentukan dan B = jumlah batang. Bila terdapat \par\pard\pvpg\phpg\posx1800\posy8211\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 R > B + 2, berarti konstruksi statis tak tertentu. \par\pard\pvpg\phpg\posx1800\posy8967\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Contoh : \par\pard\pvpg\phpg\posx1800\posy9348\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Konstruksi Sendi dan Rol seperti gambar 4, diminta menentukan jenis konstruksinya. \par\pard\pvpg\phpg\posx1800\posy10107\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pada konstruksi Sendi dan Rol terdapat tiga buah gaya yang harus ditentukan, \par\pard\pvpg\phpg\posx1800\posy10486\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 sedang jumlah batang = 1. \par\pard\pvpg\phpg\posx1800\posy11247\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Menurut persamaan diatas, \par\pard\pvpg\phpg\posx1800\posy11626\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 R = B + 2 = 1 + 2 = 3 \par\pard\pvpg\phpg\posx1800\posy12005\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 R = 3 cocok \par\pard\page\par

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\par\pard\pvpg\phpg\posx1800\posy5926\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Jadi konstruksi sendi dan rol ststis tertentu. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1800 \shptop6679 \shpright8678 \shpbottom6931 {\sp{\sn fillColor}{\sv 65535}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

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\par\pard\pvpg\phpg\posx1800\posy12845\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang gaya normal adalah bidang yang menggambarkan besarnya gaya normal pada \par\pard\pvpg\phpg\posx1800\posy13224\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 setiap titik. ( lihat gambar 6 ). \par\pard\page\par



\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583 {\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14563 \shpright11299 \shpbottom14583

{\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop1438 \shpright10435 \shpbottom4066 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw634\pich193\pngblip 89504E470D0A1A0A0000000D494844520000027A000000C108030000006FE6EDA100000300504C5445000000FFFFFFECECECC0C0C07979795353538B8B8BE1E1E1F5F5F5686868383838A7A7A7CCCCCC999999B3B3B3D7D7D7FEFEFE02020200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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\par\pard\pvpg\phpg\posx1800\posy4579\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang gaya normal diberi tanda positif, bila gaya normal yang bekerja adalah \u8216k tarik \u8216k \par\pard\pvpg\phpg\posx1800\posy4959\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dan diarsir tegak lurus dengan batang yang mengalami gaya normal. Sebaliknya, bidang \par\pard\pvpg\phpg\posx1800\posy5338\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 gaya normal diberi tanda negatif, bila gaya normal yang bekerja \u8216k tekan \u8216k dan diarsir \par\pard\pvpg\phpg\posx1800\posy5717\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 sejajar dengan sumbu batang yang mengalami gaya normal. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1800 \shptop6473 \shpright9790 \shpbottom6725 {\sp{\sn fillColor}{\sv 65535}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy6475\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 4 \par\pard\pvpg\phpg\posx1922\posy6475\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 . \par\pard\pvpg\phpg\posx2045\posy6475\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 Gaya Melintang dan Bidang Gaya Melintang ( Shear Force Diagram =SFD ) \par\pard\pvpg\phpg\posx2520\posy6857\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Gaya melintang adalah gaya yang bekerja tegak lurus dengan sumbu batang ( \par\pard\pvpg\phpg\posx1800\posy7236\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 gambar 7 ) {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop7987 \shpright10438 \shpbottom10668 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw593\pich184\pngblip 89504E470D0A1A0A0000000D4948445200000251000000B804030000003186A48E00000300504C5445000000FFFFFFECECECA7A7A76868685353538B8B8BD7D7D7B3B3B3C0C0C0797979383838F5F5F5E1E1E1999999CCCCCCFEFEFE0202020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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\par\pard\pvpg\phpg\posx1800\posy11182\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang gaya melintang adalah bidang yang menggambarkan besarnya gaya melintang \par\pard\pvpg\phpg\posx1800\posy11561\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 pada setiap titik. \par\pard\page\par



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\par\pard\pvpg\phpg\posx1800\posy11686\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 5 \par\pard\pvpg\phpg\posx1922\posy11686\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 . \par\pard\pvpg\phpg\posx2045\posy11686\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf7 Momen dan Bidang Momen ( Bending Moment Diagram = BMD ) \par\pard\pvpg\phpg\posx2520\posy12067\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Momen adalah hasil kali antara gaya dengan jaraknya. Jarak disini adalah jarak \par\pard\pvpg\phpg\posx1800\posy12447\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 yang tegak lurus dengan garis kerja gayanya. Dalam gambar 10 dibawah ini berarti \par\pard\pvpg\phpg\posx1800\posy13205\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 MB = - P1 . a dan MC = DV . c \par\pard\page\par


\par\pard\pvpg\phpg\posx8544\posy14650\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf4 EDIFRIZAL DARMA {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14899 \shpright11184 \shpbottom15151


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\par\pard\pvpg\phpg\posx1800\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang momen adalah bidang yang menggambarkan besarnya momen pada setiap titik. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft3180 \shptop2196 \shpright9060 \shpbottom6127 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw392\pich262\pngblip 89504E470D0A1A0A0000000D49484452000001880000010608030000004827F2BC00000300504C5445000000FFFFFFECECECC0C0C07979795353538B8B8BE1E1E1F5F5F5686868383838CCCCCC999999D7D7D7A7A7A7B3B3B3010101FEFEFE020202FDFDFD000000000000000000000000000000000000000000000000

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\par\pard\pvpg\phpg\posx1800\posy6641\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang momen diberi tanda positif bila bagian bawah atau bagian dalam yang \par\pard\pvpg\phpg\posx1800\posy7020\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 mengalami tarikan. Bidang momen positif diarsir tegak lurus sumbu batang yang \par\pard\pvpg\phpg\posx1800\posy7399\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 mengalami momen ( gambar 11 ). {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft2024 \shptop8531 \shpright10213 \shpbottom11320 {\sp{\sn fillColor}{\sv 16777215}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft2023 \shptop8530 \shpright10214 \shpbottom11321 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw546\pich186\pngblip 89504E470D0A1A0A0000000D4948445200000222000000BA0103000000A9

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\par\pard\pvpg\phpg\posx6631\posy11451\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Gambar 11 \par\pard\pvpg\phpg\posx2520\posy12593\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Sebaliknya , bila yang mengalami tarikan pada bagian atas atau luar bidang \par\pard\pvpg\phpg\posx1800\posy12972\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 momen diberi tanda negatif. Bidang momen negatif diarsir sejajar dengan sumbu batang \par\pard\pvpg\phpg\posx1800\posy13349\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 ( gambar 10 ). Perlu diketahui bahwa momen yang berputar ke kanan belum tentu \par\pard\pvpg\phpg\posx1800\posy13728\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 positif dan momen yang berputar ke kiri belum tentu negatif. \par\pard\pvpg\phpg\posx1800\posy14110\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Oleh karena itu perhatikan betul \u8211k betul perjanjian tanda di atas. \par\pard\page\par


\par\pard\pvpg\phpg\posx8544\posy14650\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf4 EDIFRIZAL DARMA {\shp{\*\shpinst\shpbxpage\shpbypage\

shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14899 \shpright11184 \shpbottom15151 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}


\par\pard\pvpg\phpg\posx1800\posy1443\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 A. Konstruksi Balok Sederhana ( KBS ) \par\pard\pvpg\phpg\posx2520\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Yang dimaksud dengan konstruksi balok sederhana adalah konstruksi balok \par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 yang ditumpu pada dua titik tumpu yang masing \u8211k masing berupa sendi dan rol. Jenis \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\

cf1\f1\fs22 konstruksi ini adalah statis tertentu yang dapat diselesaikan dengan persamaan \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 keseimbangan. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop3336 \shpright10183 \shpbottom14069 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw671\pich1037\pngblip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\par\pard\page\par

\par\pard\pvpg\phpg\posx1800\posy14652\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pusat Pengembangan Bahan Ajar - UMB {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14575 \shpright11297 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8544 \shptop14647 \shpright11184 \shpbottom14899




\par\pard\pvpg\phpg\posx1800\posy1443\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 Penggambaran Bidang D ( Gaya melintang ) \par\pard\pvpg\phpg\posx2520\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang D adalah bidang yang menggambarkan gaya melintang

yang diterima \par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 konstruksi balok sepanjang bentangnya pada beban tetap ( beban tak bergerak ). \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Sedang gaya melintang adalah gaya yang bekerja tegak lurus sumbu batang. \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Sebelum menggambar bidang D, terlebih dahulu buatlah garis referensi yaitu garis \par\pard\pvpg\phpg\posx1800\posy3343\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 mendatar sejajar sumbu balok. Pada titik A bekerja gaya melintang sebesar Av ke atas \par\pard\pvpg\phpg\posx1800\posy3723\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 maka lukislah garis sebesar Av ke atas dimulai dari garis referensi. Diantara titik A dan \par\pard\pvpg\phpg\posx1800\posy4102\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 C tidak ada gaya melintang ( tidak ada perubahan gaya melintang ), maka garis gaya \par\pard\pvpg\phpg\posx1800\posy4481\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 melintangnya sejajar dengan garis referensi (mendatar ). Pada titik C bekerja gaya \par\pard\pvpg\phpg\posx1800\posy4860\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 melintang sebesar Pv ke bawah, maka lukislah garis ke bawah sebesar Pv. Kemudian \par\pard\pvpg\phpg\posx1800\posy5239\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 antara titik C dan titik B tidak ada perubahan gaya melintang, maka garis gaya \par\pard\pvpg\phpg\posx1800\posy5619\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 melintangnya sejajar garis referensi yang berjarak ( Pv \u8211k Bv ) dibawah garis referensi. \par\pard\pvpg\phpg\posx1800\posy5998\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Pada titik B bekerja gaya melintang sebesar Bv ke atas. \par\pard\pvpg\phpg\posx1800\posy6377\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bila konstruksi balok seimbang, maka lukisan garis sebesar Bv ini akan tepat pada garis \par\pard\pvpg\phpg\posx1800\posy6759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 referensi. \par\pard\pvpg\phpg\posx2520\posy7517\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Setelah selesai melukis garis gaya melintang, selanjutnya memberi tanda bidang \par\pard\pvpg\phpg\posx1800\posy7896\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 yang dilukis tersebut. Diberi tanda positif bila bidang D terletak diatas garis referensi dan \par\pard\pvpg\phpg\posx1800\posy8275\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 sebaliknya diberi tanda negatif bila berada dibawah garis

referensi. Atau dapat dilihat \par\pard\pvpg\phpg\posx1800\posy8655\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 arah putaran kopelnya, bila putaran kopelnya ke kanan diberi tanda positif dan bila \par\pard\pvpg\phpg\posx1800\posy9034\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 putaran kopelnya ke kiri diberi tanda negatif {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop9785 \shpright10200 \shpbottom13610 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw560\pich255\pngblip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\par\pard\pvpg\phpg\posx2520\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dapat dibuktikan, bila konstruksi seimbang, bahwa luas bidang D positif sama \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dengan luas bidang D negatif. Dalam persoalan diatas, \par\pard\pvpg\phpg\posx1800\posy2201\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 luas bidang D positif = Av . a dan luas bidang D negatif = Bv . b \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Jadi : \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Av . a = Bv . b \par\pard\pvpg\phpg\posx1800\posy3343\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 4

\par\pard\pvpg\phpg\posx1922\posy3343\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 ,07 . 2 = 2,03 . 4 \par\pard\pvpg\phpg\posx1800\posy3723\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 8 \par\pard\pvpg\phpg\posx1922\posy3723\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 ,14 = 8,12 \par\pard\pvpg\phpg\posx2520\posy4481\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Adanya sedikit perbadaan itu disebabkan oleh adanya pembulatan Av dan Bv. \par\pard\pvpg\phpg\posx1800\posy4860\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bila tidak ada pembulatan, maka harga luas D positif tepat sama dengan harga luas D \par\pard\pvpg\phpg\posx1800\posy5239\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 negatif. \par\pard\pvpg\phpg\posx1800\posy5995\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 Penggambaran Bidang Momen ( M ) \par\pard\pvpg\phpg\posx2520\posy6377\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bidang momen adalah suatu bidang yang menggambarkan besarnya momen \par\pard\pvpg\phpg\posx1800\posy6759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 yang diterima konstruksi balok sepanjang bentangnya pada beban tetap ( beban tak \par\pard\pvpg\phpg\posx1800\posy7138\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 bergerak ). \par\pard\pvpg\phpg\posx1800\posy7896\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk mengetahui bentuk garis momennya, kita tinjau titik X sejauh x dari titik A, 0 = x = \par\pard\pvpg\phpg\posx1800\posy8275\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 a ( gambar 14 ) {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop8647 \shpright8206 \shpbottom11107 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw427\pich164\pngblip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\par\pard\pvpg\phpg\posx1800\posy11621\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Ternyata persamaan momen dari titik A sampai titik C merupakan persamaan garis \par\pard\pvpg\phpg\posx1800\posy12000\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 lurus. Bila ditinjau titik X' sejauh x' dari titik B, maka akan diperoleh persamaan : MX' = \par\pard\pvpg\phpg\posx1800\posy12379\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Bv . x', juga merupakan garis lurus (0 = x' = b ). Dari tinjauan ini dapat disimpulkan \par\pard\pvpg\phpg\posx1800\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 bahwa pada \par\pard\pvpg\phpg\posx3315\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 konstruksi \par\pard\pvpg\phpg\posx4495\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 balok \par\pard\pvpg\phpg\posx5213\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 yang \par\pard\pvpg\phpg\posx5880\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dibebani \par\pard\pvpg\phpg\posx6898\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 beban \par\pard\pvpg\phpg\posx7700\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 terpusat \par\pard\pvpg\phpg\posx8683\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 garis \par\pard\pvpg\phpg\posx9350\posy12759\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 momennya \par\pard\pvpg\phpg\posx1800\posy13138\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 merupakan garis lurus. \par\pard\page\par




\par\pard\pvpg\phpg\posx1800\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dalam persoalan diatas, besarnya MA = 0 ; MB = 0 ; dan MC = 8,14 tm, maka garis \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 momennya adalah hubungan titik \u8211k titik tersebut secara berurutan (menurut letaknya

\par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 bukan menurut nomernya ), lihat gambar 15. {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop2954 \shpright6886 \shpbottom6269 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw339\pich221\pngblip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\par\pard\pvpg\phpg\posx1800\posy6785\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Momen dibari tanda positif karena lenturan balok menyebabkan serat bagian bawah \par\pard\pvpg\phpg\posx1800\posy7164\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tertarik {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop7918 \shpright10440 \shpbottom11244 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw618\pich238\pngblip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\par\pard\pvpg\phpg\posx1800\posy12511\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf3 Penggambaran Bidang Gaya Normal ( Bidang N ) \par\pard\pvpg\phpg\posx2520\posy12893\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk menggambar bidang N, perlu diperhatikan letak tumpuan sendi dan \par\pard\pvpg\phpg\posx1800\posy13272\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tumpuan rolnya. Tumpuan rol tidak dapat menahan gaya sejajar dengan rolnya (dalam

\par\pard\pvpg\phpg\posx1800\posy13654\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 hal ini rol tidak dapat menahan gaya horizontal). Jadi gaya normal hanya terjadi pada \par\pard\pvpg\phpg\posx1800\posy14033\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 bagian balok antara tumpuan sendi dan tempat gaya horizontal bekerja, bagian antara \par\pard\page\par



\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583 {\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \

shptop14563 \shpright11299 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tumpuan dan titik pegang gaya horizontal tidak mengalami gaya normal. Dalam \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 persoalan diatas gaya normal yang terjadi adalah sebesar Ah pada titik A dan sebesar \par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Ph pada titik C, sedang antara A dan C besarnya gaya normal sama di A atau di C. \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Gaya normal tersebut adalah gaya tekan, karena arah gaya Ah menuju pada titik tumpu \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 ( gambar 17). {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop4097 \shpright10438 \shpbottom6514 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw593\pich166\pngblip 89504E470D0A1A0A0000000D4948445200000251000000A60803000000CDAA2A6400000300504C5445000000FFFFFFFEFEFEFDFDFDB3B3B3A7A7A7999999D7D7D7CCCCCC686868E1E1E18B8B8B797979ECECECB1B1B1535353C0C0C000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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\par\pard\pvpg\phpg\posx4680\posy6643\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Gambar 17 \par\pard\pvpg\phpg\posx1800\posy7405\charscalex100\expndtw0 \ql\fs24\cf1\f1\cf7 2 \par\pard\pvpg\phpg\posx1934\posy7405\charscalex100\expndtw0 \ql\fs24\cf1\f1\cf7 . \par\pard\pvpg\phpg\posx2068\posy7405\charscalex100\expndtw0 \ql\fs24\cf1\f1\cf7 KBS dengan Beban Merata \par\pard\pvpg\phpg\posx2520\posy7819\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk menghitung dan kemudian menggambar bidang M dan bidang D pada \par\pard\pvpg\phpg\posx1800\posy8199\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 pembebanan merata dapat dilakukan secara grafis dan analitis. Pada cara grafis, beban \par\pard\pvpg\phpg\posx1800\posy8578\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 merata di transfer menjadi beban terpusat. \par\pard\pvpg\phpg\posx1800\posy8957\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dengan adanya transfer pembebanan ini, gambar bidang M dan bidang N akan sedikit \par\pard\pvpg\phpg\posx1800\posy9336\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 berbeda apabila dihitung tanpa transfer beban. \par\pard\pvpg\phpg\posx2520\posy10095\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Perbedaan ini tergantung pada transfernya, semakin kecil elemen beban yang di \par\pard\pvpg\phpg\posx1800\posy10474\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 transfer menjadi beban merata semakin teliti ( mendekati sebenarnya ) gambar bidang \par\pard\pvpg\phpg\posx1800\posy10853\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 M dan bidang D nya. Dengan kata lain cara grafis kurang teliti bila disbanding dengan \par\pard\pvpg\phpg\posx1800\posy11235\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 cara analitis. \par\pard\pvpg\phpg\posx1800\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Oleh karena \par\pard\pvpg\phpg\posx3298\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 itu dalam \par\pard\pvpg\phpg\posx4488\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 pembahasan \par\pard\pvpg\phpg\posx5940\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 ini

\par\pard\pvpg\phpg\posx6339\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 tidak \par\pard\pvpg\phpg\posx6982\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dijelaskan cara \par\pard\pvpg\phpg\posx8746\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 menghitung \par\pard\pvpg\phpg\posx10075\posy11614\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 dan \par\pard\pvpg\phpg\posx1800\posy11993\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 menggambar secara grafis. \par\pard\pvpg\phpg\posx1800\posy12751\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Cara analitis, \par\pard\pvpg\phpg\posx1860\posy13122\charscalex100\expndtw0 \ql\fs24\cf1\f3 \par\pard\pvpg\phpg\posx2220\posy13164\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Mencari Reaksi, \par\pard\pvpg\phpg\posx1800\posy13546\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 \u8721kMB =0 \par\pard\pvpg\phpg\posx1800\posy13925\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Av . L \u8211k ( q . L ) . 0,5L = 0 \par\pard\page\par



\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583

{\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14563 \shpright11299 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy1445\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Av = 0,5 . q . L \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Av = 0,5 . 2 . 8 = 8 ton ( ke atas ) \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Karena simetri dan beban merata maka Bv = Av = 8 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop2954 \shpright10440 \shpbottom12576 {\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw580\pich646\pngblip 89504E470D0A1A0A0000000D49484452000002440000028608030000009C1E74D700000300504C5445000000FFFFFFE1E1E16868688B8B8BF5F5F5C0C0C0D7D7D7696969ECECECB3B3B3535353A7A7A7797979999999FEFEFE020202010101FCFCFCFBFBFB000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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\par\pard\page\par



\par\pard\pvpg\phpg\posx8544\posy14902\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22\cf5 STATIKA 1 {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv

1}}\shpleft1685 \shptop14563 \shpright8429 \shpbottom14583 {\sp{\sn fillColor}{\sv 0}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14573 \shpright8449 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop14563 \shpright8449 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14563 \shpright11299 \shpbottom14583 {\sp{\sn fillColor}{\sv 5001152}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8438 \shptop14573 \shpright11299 \shpbottom14645 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}} {\shp{\*\shpinst\shpbxpage\shpbypage\shpwr3\shpfblwtxt1{\sp{\sn shapeType}{\sv 1}}{\sp{\sn fBehindDocument}{\sv 1}}\shpleft8429 \shptop15151 \shpright11299 \shpbottom15223 {\sp{\sn fillColor}{\sv 8144926}}{\sp{\sn lineWidth}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fFilled}{\sv 1}}}}

\par\pard\pvpg\phpg\posx1800\posy1443\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 a. Mencari persamaan garis gaya melintang \par\pard\pvpg\phpg\posx1800\posy1824\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Tinjauan pada titik X dengan jarak x m dari A \par\pard\pvpg\phpg\posx1800\posy2203\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dx = Av \u8211k q . x merupakan garis lurus dengan kemiringan tg a = - q \par\pard\pvpg\phpg\posx1800\posy2583\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 0 Dv = DA = Av \u8211k 0 = 8 kN \par\pard\pvpg\phpg\posx1800\posy2962\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 4 Dv = DC = Av \u8211k q . 4 = 8 - 2 . 4 = 0 \par\pard\pvpg\phpg\posx1800\posy3343\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 8 Dv = DC = Av \u8211k q . 8 = 8 - 2 . 8 = -8 kN \par\pard\pvpg\phpg\posx1800\posy4099\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 b. Mencari persamaan garis momen \par\pard\pvpg\phpg\posx1800\posy4481\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Mx = Av . x \u8211k q . x . x

\par\pard\pvpg\phpg\posx1800\posy4860\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Mx = . q . L . x - . q . x merupakan peramaan

garis parabola.

\par\pard\pvpg\phpg\posx4409\posy4832\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs14 2

\par\pard\pvpg\phpg\posx1800\posy5619\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 0 Mx = MA = 0

\par\pard\pvpg\phpg\posx1800\posy5998\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 4 Mx = MC = .2.8.4 - .2.42 = 32 \

u8211k 16 = 16 kNm

\par\pard\pvpg\phpg\posx1800\posy6377\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Untuk x = 8 Mx = MB = .2.8.8 - .2.82 = 0

\par\pard\pvpg\phpg\posx1800\posy7135\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 c. Hubungan antara momen dan gaya

melintang

\par\pard\pvpg\phpg\posx1800\posy7517\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dari persamaan : Mx = Av . x - . q . x2

\par\pard\pvpg\phpg\posx1800\posy7896\charscalex100\expndtw0 \ql\fs24\cf1\f1\fs22 Dideferensialkan : {\shp{\*\shpinst\

shpbxpage\shpbypage\shpwr3\shpfblwtxt1\shpleft1800 \shptop8268 \shpright6074 \shpbottom9768

{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv{\pict\picw285\pich100\

pngblip

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}

Engineering

Balok terpusat