Combosite Beam

7/29/2019 Combosite Beam

1/9

Aim:

composi

Descrip

called

properti

availabl

(Carbon

weight r

alumini

bending

separate

bending

Test Sp

has the

having

figure -

Test Eq

overhan

shown i

conditio

The aim of

te beam ma

tion:

When two

s composit

es for vario

e materials

& Glass Fi

atio.

In this expe

m and one

stiffness i.e

Additionallly done to f

method.

ecimens:

The compo

imensions

The steel a

ame dimen

.

Figure -1 C

uipment:

The test set

ging bound

figure -5 (

n).

the experim

e up of Alu

r more phy

material.

us applicati

to suit the

er reinforc

iment a co

from steel

flexural rigi

two experiind the you

ite beam m

f (950mm X

d aluminiu

ions (950m

omposite Be

up is show

ry condition

hear force a

ent is to est

minium and

sical materi

he compos

ons. There

design requ

d Polymer)

posite bea

glued toget

dity (EI) usi

ents for twgs modulus

de of steel

5.9mm X 1

beams us

X 24.7m

am Dimensi

in the figu

. This is don

nd bending

1

Composit

imate the ef

Steel.

ls joined to

ite material

are infinite

irements. I

are very mu

made up o

her to form

g four poin

o beams on(Modulus o

and alumini

.1mm Le

ed for findi

X 5.9mm

ons

re -3. The

e to simulat

oment dia

Beam

fective bend

gether to b

s are being

choices of

aircraft st

ch replacin

f Aluminiu

the compo

t bending te

made up of Elasticity)

um used for

gth (L) X W

ng the youn

Length (L)

Figure -2

eam is kep

e the pure b

ram for the

ing stiffnes

some mea

developed

forming c

uctural des

aluminium

and Steel (

site beam)

t.

aluminiumof alumini

the experi

idth (b) X D

gs modulus

X Width (b

Aluminium

as shown

nding in th

beam subje

Name:

Roll No:

(flexural ri

s form a n

to achieve

mposite m

ign the co

to achieve

two separat

s considere

and other mm and steel

ent is sho

epth (d)).

of steel an

) X Depth (

& Steel Bea

in the figur

centre regi

ted to overh

M.Kar

AE12

3rd

G

gidity EI)

w material,

desired ma

terials fro

posite mat

high streng

e strips one

d for findin

ade up of stusing four

n in figure

d aluminiu

)) and sho

m Dimensio

to simulat

n of the be

anging bou

hick

009

roup

of a

it is

erial

the

rials

th to

from

g its

el isoint

-1. It

are

n in

n

e the

m as

dary


2/9

outward

portion

inwards

Measur

magneti

the dial

least co

is meas

Test Pr

the bea

every st

steps (u

and alu

repeate

The support

s as shown

of the beam

.

ing Instru

The midpoi

c base. The

gauge is loc

nt of the di

Steel rule is

red using v

cedure:

The aluminat the loc

ep the dial

loading) of

The above p

The compos

inium por

.

s are locate

in figure -3

. Dial indic

ents:

t vertical d

dial gauge

ated at the

l gauge is (1

used to mea

rnier callip

ium beam istions shown

gauge readi

100gms, an

rocedure is

ite beam is

tion at the

apart by 6

in steps of

tor is positi

Figure

flections of

ith the mag

iddle of th

division on

sure the len

r.

placed ovein figure -3

gs (midpoi

at every st

epeated for

laced in the

top, then t

2

30mm (L).

100gms till

ned exactl

-3 Schemati

the beams (

netic base is

beam and

the dial) .01

th of the be

the support. The weig

t deflection

p the dial g

steel.

slit provide

e same loa

he weights

1000gms to

at the cent

c Diagram o

test specime

positioned

sing the ma

mm.

am (specim

s and the wts are intro

of the bea

uge reading

d in the sup

ding and u

are introdu

simulate th

e of the be

f Test setup.

ns) are mea

at the centre

gnetic base

n), the widt

ights are inuced in ste

) is noted.

s are noted.

ort by placi

loading pr

Name:

Roll No:

ed 150mm

e pure bend

m (315mm

ured using

of the bea

the dial gau

and depth

roduced ons of 100gm

The weight

g the steel

cedure me

M.Kar

AE12

3rd

G

from the su

ing in the c

from the su

dial gauge

. The plung

e is locked.

of the steel

the either sis till 1000g

are remov

ortion at bo

tioned abo

hick

009

roup

port

entre

port

with

er of

The

eam

de ofs at

d in

ttom

e is


3/9

Theore

tensile t

Eulers

conside

of Euler

the shea

mid por

bending

Eule

MI

E

R

y

ical Analys

The modul

esting. Esti

beam bendi

ing the ben

s beam the

In the four

r force at th

ion of the b

moment alo

rs Beam be

= Be= Mo

= Yo

= Ra

= Be= Dis

is:

s of elastici

ation of mo

g equation

ing momen

ry.

oint bendin

region is z

eam subject

ne.

nding equati

ding Momment of Ine

ngs Modul

ius of Cur

ding Stressance from

ty (or) the

dulus of El

for calcula

t, the shear

g method th

ro as show

d to four po

on

nt (N-mm)rtia =

(

us (N/mm2

ature =

(N/mm2)

eutral Axis

Figur

3

oungs mod

sticity (E) i

ting the be

forces (shea

centre regi

in figure -5

int bending.

.

mm4)

)

(mm-1

)

(mm)

e -5 Beam

ulus (E) of

not usually

m deflectio

r deformatio

on of the be

. The Euler

The deflect

MD and SF

any materi

done using

under app

ns) are not

am is only s

s beam theo

ion of the m

Fig-4 B

D

Name:

Roll No:

l is determi

beam bendi

ied load ar

considered

ubjected to

y is exactly

id region is

eam Bendin

M.Kar

AE12

3rd

G

ned by uni-

ng test, sinc

developed

or the deriv

ure bendin

applicable t

purely due t

hick

009

roup

axial

e the

only

ation

and

o the

o the


4/9

The mid

EI dydx

@x @x Ly 1EI @x

Esteel fro

Ealuminiu

Compos

steel or

The co

C.G and

b(m

1 6.

2 20.

point deflec

Pax C1

, y 0, y 0,Pa x2 P, y

m the experi

from the e

ite Beams

The compos

aluminium

bposite bea

Moment of

)D

(mm)

0 9.55

02 9.55

Sum

YC.G

tion of bea

,EI

0 00 L2 x

PaL8EI

y

ment (Steel

periment (A

ite beam cal

sing the for

section is c

Figure

Inertia calc

Area(mm2)

59.21

191.19

250.40

7.033

subjected t

EI dd Pa x22C,Ca L2 CL

aL8I

beam) = 208

luminium b

culations ar

ula below

bonverted int

-6 Composit

lation for th

from bottom

(mm)

14.33

4.78

m from bot

4

four point

yx M,C1x C

0, C

y 928.0624 N

am) = 6158

done by co

,

o equivalent

e Beam to E

e equivalent

A*Y(mm3)

848.18

912.94

1761.12

tom

ending is d

M P

Pa L2

=

=

=

5170.210/mm2

1.61709 N/

nverting the

bsteel

section of a

quivalent Al

aluminium

from C.G

(mm)

Ii

(

7.29 4

-2.26 14

rived as fol

a

150mm

630mm = 49

m2

beam to an

=

uminium a

uminium B

beam is sho

mm4)

)

I(A

0.01

53.09

Name:

Roll No:

lows,

0.558 mm4

equivalent s

20.02mm

d it is show

am.

n in table -

ii (mm4)

YfromC.G2)

148.22

974.97

M.Kar

AE12

3rd

G

ction in ter

in figure -

1.

I = Ii +(mm4)

3598.2

2428.0

6026.2

hick

009

roup

s of

.

ii


5/9

The Eff

EITheoryEITheory

The mid

P

The Be

M

ctive Bendi

= EAlu= 615

point deflec

= 1kg

ding Stress

= P X

ng Stiffness

miniumXIEquiv81.61709 X

tion of the c

y,

= 9.81N

distribution

a = 9.81 X1

F(EI) of the c

lent Aluminium Se

026.29

I,omposite be

PaL

8EI

of the comp

0 = 1471.5

5

Table

igure -7 C.Gomposite be

ction=

37m (Equival

9.818 37

site section

. 160

N-mm

-1

Location.am (Equival

371108683.

.11 10ent Alumini

150631.1110

is shown in

71.526.29

ent Alumini

3 N-mm2

mm m Beam ) i

0.197

figure -8.

.244

Name:

Roll No:

um Beam) i

s

mm

M.Kar

AE12

3rd

G

hick

009

roup


6/9

Experi

for curv

ent Result

Table -2 pr

e fitting to fi

LoadP (N

0.

1.

2.

3.

4.

5.

6.

7.

8.

9.

& Compa

sents the re

nd the slope

-) Loadi

(Di

0

8

6

4

2

1 11

9 1

7 1

5 1

3 21

1 2

Table

0.00

0.24

0.49

0.74

0.98

1.21

1.46

1.71

1.95

2.18

2.40

4.Table -

figure -8

ison with

dings and c

usDial G

ng)

U

0.00

3.00

8.50

3.00

7.00

9.00

5.00

1.00

4.00

8.00

0.00

-2 Alumini

y x

0

0.98

1.96

2.94

3.92

4.91

5.89

6.87

7.85

8.83

9.81

Sum

05Curve Fitti

6

Bending St

heory:

alculation f

ing the equ

auge Readi

Loading(Div)

0.00

25.00

49.00

74.00

98.00

122.00

146.00

171.00

196.00

218.00

240.00

m Beam re

x

- x-1.21

-0.97

-0.73

-0.48

-0.24

-0.01

0.24

0.50

0.74

0.97

1.19

B -ng calculati

ress Distrib

r aluminiu

tions sho

g

Average(Div)

0.

24.

48.

73.

97.

120.

145.

171.

195.

218.

240.

dings and C

1.21

- y (x-4.91

-3.92

-2.94

-1.96

-0.98

0.00

0.98

1.96

2.94

3.92

4.91

0.01n for Alumi

tion.

beam. Tab

n below.

yDial00

00

75

50

50

50

50

00

00

00

00

alculation

y

- x) (y -5

3

2

0

0

0

0

0

2

3

5

13

r2

nium Beam

Name:

Roll No:

le -3 presen

(mm)

eading * 0.

0

0

0

0

0

1

1

1

1

2

2

4.91

y) (x - x.95 1.4

.82 0.9

.13 0.5

.94 0.2

.23 0.0

.00 0.0

.24 0.0

.98 0.2

.17 0.5

.80 0.9

.82 1.4

.07 3.2

1.0

M.Kar

AE12

3rd

G

s the calcul

1

.00

.24

.49

.74

.98

.21

.46

.71

.95

.18

.40

2

7

5

3

3

6

0

6

5

4

4

1

3

hick

009

roup

ation


7/9

y

From g

readings

compari

the grap

steel be

From gr

for curv

mxb.

Eaph -1 the

are used

son purpose

hical metho

Table 4 p

m youngs

LoadP (N

0.

1.

2.

3.

4.

5.

6.7.

8.

9.

y

aph -2 the Table -5 pr

e fitting to fi

Py isor verify t

the value o

.resents the

odulus is c

-) Loadi

(Di

0

8

6 1

4

2

1

9

75

3

1

T

1

y

isents the re

nd the slope

------ Th

aL8I

taken as

e youngs

tained thro

eading and

lculated.

Dial G

ng

)

U

0.00

7.00

4.00

1.00

8.00

5.00

2.00

9.007.00

4.00

1.00

ble -4 Steel

3.82

aL8I

taken as 1

adings and

.

7

goodness

.0515.09 and t

odulus val

gh the curv

calculation

auge Readi

Loading

(Div)

0.00

7.00

14.00

21.00

28.00

35.00

43.00

50.0057.00

64.00

71.00

Beam readi

B

13.82

.08 and th

alculation f

f fit

70.210 e,e with the

fitting met

for steel be

g

Average

(Div)

0.

7.

14.

21.

28.

35.

42.

49.57.

64.

71.

gs and Calc

0.02

15170.210

e,or composit

61581.617

62literature v

od is used,

m. Using t

yDial

00

00

00

00

00

00

50

5000

00

00

ulation

r2

208928

beam. Tab

Name:

Roll No:

9 N mm2

013.19alue instant

since it is m

e curve fitti

(mm)eading * 0.

0

0

0

0

0

0

0

00

0

0

1.

.0624

198426.3

le -6 presen

M.Kar

AE12

3rd

G

2. They, where a

ore accurate

ng techniqu

1

.00

.07

.14

.21

.28

.35

.43

.50

.57

.64

.71

2

2.s the calcul

hick

009

roup

raph

s for

than

e the

ation


8/9

Name: M.Karthick

Roll No: AE12M009

3rd Group

8

Load -P (N)

Dial Gauge Reading y (mm)Dial Reading * 0.01

Loading

(Div)

Un Loading

(Div)

Average

(Div)

0 0.00 0.00 0.00 0.00

0.98 2.00 4.00 3.00 0.03

1.96 5.00 7.00 6.00 0.06

2.94 7.00 10.00 8.50 0.093.92 10.00 12.00 11.00 0.11

4.91 12.00 15.00 13.50 0.14

5.89 15.00 18.00 16.50 0.17

6.87 18.00 21.00 19.50 0.20

7.85 21.00 23.00 22.00 0.22

8.83 24.00 25.00 24.50 0.25

9.81 27.00 27.00 27.00 0.27

Table -5 Composite Beam readings and Calculationx 0.138 y 4.91

x y x - x y - y (x - x) (y - y) (x - x)20.00 0 -0.14 -4.91 0.68 0.02

0.03 0.98 -0.11 -3.92 0.42 0.01

0.06 1.96 -0.08 -2.94 0.23 0.01

0.09 2.94 -0.05 -1.96 0.10 0.00

0.11 3.92 -0.03 -0.98 0.03 0.00

0.14 4.91 0.00 0.00 0.00 0.00

0.17 5.89 0.03 0.98 0.03 0.00

0.20 6.87 0.06 1.96 0.11 0.000.22 7.85 0.08 2.94 0.24 0.01

0.25 8.83 0.11 3.92 0.42 0.01

0.27 9.81 0.13 4.91 0.65 0.02

Sum 1.46 0.04

m 36.29 B -0.09 r2 1.00

Table -6 Curve Fitting calculation for composite Beam

EI, PyaL

8 36.29 7441875.00 270035732.64N mm2

From graph -3 the is taken as 37.73 and the 280.79 106N mm2

EI, 270.04 10N mm

Table 7 shows the comparison between the experimental and theoretical EI values and the midpoint

deflection for 1Kg load (9.81N) for the composite beam.


9/9

Documents

Combosite Beam