Answered: simply supported beam with a span of 8…

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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Question

A simply supported beam with a span of 8 m is subjected to a uniform vertical downward load equal to 50 kN/m, acting on the plane of the minor axis of the beam section, which includes the beam weight. The beam is restrained against lateral buckling of the top and bottom flanges for the entire span. The material is A36 steel with Fy = 248 MPa and E = 200 GPa. The allowable flexural stress for laterally braced compact sections is 0.66Fy. The allowable deflection is 1/360 of the span.

1. Determine the minimum section modulus Sx, in m³, such that the maximum flexural stress will not be exceeded.

a. 0.0024

b. 0.0038

c. 0.0042

d. 0.0052

2. Determine the minimum moment of inertia Ιx, in m⁴, such that the minimum deflection will not be exceeded.

a. 0.00096

b. 0.00047

c. 0.0024

d. 0.00060

3. Assuming that the shear stress is not critical, which of the sections being considered is the most economical section for the given load.

a. W 24x55

b. W21x62

c. W 21x68

d. none

Three compact sections are being considered:
section
W 24x55
W 21x62
W 21x68
Beam Depth I (m')
0.598 m
0.533 m
0.537 m
0.000558m
0.000554m
0.000616m

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