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Problem 1 Steel beam: H496x199x9/14-SM490 (F y = 320 MPa) d = 496mm b f = 199mm t f = 14mm t w = 9mm A s = 10130mm 2 f’ c = 28MPa b e = 2400mm t c = 70mm h r = 50mm Find M n for fully composite behavior SOLUTION 1. Calculate P y , P y,web , C * 2. Locate PNA Since , PNA is in slab 3. Compute M n For H496x199x9/14-SM490 alone : 508.56kNm

HW3

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Page 1: HW3

Problem 1

Steel beam: H496x199x9/14-SM490 (Fy = 320 MPa)

d = 496mm bf = 199mm tf = 14mm tw = 9mm As = 10130mm2 f’c = 28MPa

be = 2400mm tc = 70mm hr = 50mm

Find Mn for fully composite behavior

SOLUTION

1. Calculate Py, Py,web, C*

2. Locate PNA

Since , PNA is in slab

3. Compute Mn

For H496x199x9/14-SM490 alone : 508.56kNm

Page 2: HW3

Problem 2

Steel beam: H606x201x12/20-SM490 (Fy = 320 MPa)

d = 606mm bf = 201mm tf = 20mm tw = 12mm As = 15250mm2 f’c = 28MPa

be = 2400mm tc = 70mm hr = 50mm

Find Mn for fully composite behavior

SOLUTION

1. Calculate Py, Py,web, C*

2. Locate PNA

Since , PNA is in flange

3. Compute Mn

For H496x199x9/14-SM490 alone : 907.6kNm

Page 3: HW3

Problem 3

Steel beam: H890x299x15/23-SM490 (Fy = 320 MPa)

d = 890mm bf = 299mm tf = 23mm tw = 15mm As = 24340mm2 f’c = 28MPa

be = 2400mm tc = 70mm hr = 50mm

Find Mn for fully composite behavior

SOLUTION

1. Calculate Py, Py,web, C*

2. Locate PNA

Since , PNA is in web

3. Compute Mn

For H496x199x9/14-SM490 alone : 233535648Nmm = 2335.36kNm

Page 4: HW3

Problem 4

Steel beam: H500x200x10/26-SM490 (Fy = 320 MPa)

d = 500mm bf = 200mm tf = 16mm tw = 10mm As = 11420mm2 f’c = 28MPa

be = 2400mm tc = 70mm hr = 50mm

Stud strength Qnr = 116099N/stud

Find Mn for fully composite behavior

SOLUTION

1. Calculate Py, Py,web, C*

For fully composite behavior, required number of studs: studs

For partially composite design, using 25 studs:

2. Locate PNA

Since , PNA is in flange

3. Compute Mn

Page 5: HW3

Problem 3

Steel beam: H800x300x14/26-SM490 (Fy = 320 MPa)

d = 800mm bf = 300mm tf = 26mm tw = 14mm As = 26740mm2 f’c = 28MPa

be = 2400mm tc = 70mm hr = 50mm

Stud strength Qnr = 116099N/stud

Find Mn for fully composite behavior

SOLUTION

1. Calculate Py, Py,web, C*

For fully composite behavior, required number of studs: studs

For partially composite design, using 28 studs:

2. Locate PNA

Since , PNA is in web

3. Compute Mn

Page 6: HW3

Plastic moment of steel beam only: 224522624Nmm = 2245.23kNm