SITUATION. A W section is used as a beam with a simple span of 6 m. The beam carries a total uniform ultimate load (dead plus live) of 80 kN/m including selfweight. Properties of W section: tw = 9.91 mm k = 30.5 mm A = 12300 mm² d = 307 mm lx = 222 x 106mm² rx = 134 mm bf = 305 mm Zx = 1590 x 10³ mm Sx 1440 x 10³ mm³ tf = 15.40 mm ry = 76.7 mm J = 907 x 10³ mm² rts = 85 mm Cb = 1.136 Yield Strength, Fy = 345 MPa Strength reduction factor (for flexure), p = 0.90 1. Evaluate the ultimate moment capacity if it is laterally supported at midspan. 2. Evaluate the ultimate moment capacity if the beam is laterally unsupported. 3. Evaluate the ultimate moment capacity if the beam is 12 meters long with no lateral supports.

Structural Analysis
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Chapter2: Loads On Structures
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Table User Note 506.1.1
Selection Table for the Application of Section 506 Sections
Limit
Section
Cross Section
Flange
Slenderness
Web
Slenderness
States
506.2
I 13
C
C
Y, LTB
506.3
I
NC, S
C
LTB, FLB
...
All limit
506.12
Unsymmetrical
Shapes
N/A
N/A
states
SITUATION. A W section is used as a beam with a simple span of 6 m. The
beam carries a total uniform ultimate load (dead plus live) of 80 kN/m including
selfweight.
Properties of W section:
tw = 9.91 mm
k = 30.5 mm
rx = 134 mm
A = 12300 mm²
d = 307 mm
bf = 305 mm
tf = 15.40 mm
Yield Strength, Fy = 345 MPa
lx = 222 x 106 mm4
Zx = 1590 x 10³ mm
Sx = 1440 x 10³ mm³
ry = 76.7 mm
J = 907 x 10³ mm4
rts = 85 mm
Strength reduction factor (for flexure), p = 0.90
Cb = 1.136
1. Evaluate the ultimate moment capacity if it is laterally supported at midspan.
2.
Evaluate the ultimate moment capacity if the beam is laterally unsupported.
3.
Evaluate the ultimate moment capacity if the beam is 12 meters long with
no lateral supports.
Transcribed Image Text:Table User Note 506.1.1 Selection Table for the Application of Section 506 Sections Limit Section Cross Section Flange Slenderness Web Slenderness States 506.2 I 13 C C Y, LTB 506.3 I NC, S C LTB, FLB ... All limit 506.12 Unsymmetrical Shapes N/A N/A states SITUATION. A W section is used as a beam with a simple span of 6 m. The beam carries a total uniform ultimate load (dead plus live) of 80 kN/m including selfweight. Properties of W section: tw = 9.91 mm k = 30.5 mm rx = 134 mm A = 12300 mm² d = 307 mm bf = 305 mm tf = 15.40 mm Yield Strength, Fy = 345 MPa lx = 222 x 106 mm4 Zx = 1590 x 10³ mm Sx = 1440 x 10³ mm³ ry = 76.7 mm J = 907 x 10³ mm4 rts = 85 mm Strength reduction factor (for flexure), p = 0.90 Cb = 1.136 1. Evaluate the ultimate moment capacity if it is laterally supported at midspan. 2. Evaluate the ultimate moment capacity if the beam is laterally unsupported. 3. Evaluate the ultimate moment capacity if the beam is 12 meters long with no lateral supports.
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