Answered: Situation 2: The beam shown in the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Situation 2: The beam shown in the figure is a W33 x 118 of A992 steel (Fy = 345 MPa). The uniform load does not include the weight of the beam and lateral support is provided only at A, B, and C. The live load deflection limit is L/360. Use the AISC LRFD Specifications. Determine the maximum moment due to the loads by drawing a shear and moment diagram. Label values at all changes in loading and at points of zero shear. Write the magnitude of the maximum moment with the correct unit

1.For Situation 2, determine the governing Cb factor.

a.1

b.1.03

c.1.15

d.1.80

2.For Situation 2, for the limit state of yielding, the plastic moment is

a.1064.735 kN - m

b.2029.635 kN - m

c.2346.345 kN - m

d.3046.848 kN - m

3.For Situation 2, upon checking for lateral torsional buckling,

a.Elastic LTB applies

b.Inelastic LTB applies

c.there is no LTB

4.For Situation 2, the nominal strength of the W section is closest to

a.1035 kN - m

b.1891 kN - m

c.2174 kN - m

d.2498 kN - m

W33 x 118
w = 176 kg/m
d = 834.64 mm
Po = 124.5 kN Po=124.5 kN
PL = 31 kN
tw = 13.97 mm
bf = 291.59 mm
tr= 18.80 mm
Ix = 2 456 x 106 mm²
Sx = 5 883 x 10° mm?
Ix = 330.2 mm
Iy = 78 x 10° mm*
Sy = 534 x 10° mm³
Iy =58.93 mm
Zx = 6 801 x 10³ mm³
Zy = 841 x 10 mm³
J= 2033114.73 mm*
PL = 31 kN
Wo = 10.2 kN/m
w = 51 kN/m
A
B
3 m
3 m-
-3 m-
3 m-
-6 m

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