Answered: q= 200 lb/ft A B -a = 12 ft- -b = 6 ft-…

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 beam ABC with an overhang from B to
C supports a uniform load of 200 lb/ft throughout its
length (see figure). The beam is a channel section with
dimensions as shown in the figure. The moment of inertia
about the z axis (the neutral axis) equals 8.13 in⁴.
(a) Calculate the maximum tensile stress σ_t and
maximum compressive stress σ_c due to the
uniform load.
(b) Find the required span length a that results in
the ratio of larger to smaller compressive stress
being equal to the ratio of larger to smaller tensile
stress for the beam. Assume that the total
length L =a + b = 18 ft remains unchanged.

q= 200 lb/ft
A
B
-a = 12 ft-
-b = 6 ft-
y
10.787 in.
C
12.613 in.

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