A simply supported steel beam of length L = 16 ft is loaded with two forces PA = 350 lbf and Pg= 100 lbf, as shown in the figure. The loads are applied at a = 4 ft and b = 8 ft from the left end. Using singularity functions, find the minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.2.13P: A simply supported wooden I-beam with a 12-ft span supports a distributed load of intensity q = 90...
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A simply supported steel beam of length L = 16 ft is loaded with two forces PA = 350 lbf and PB = 100 lbf, as shown in the figure. The
loads are applied at a = 4 ft and b = 8 ft from the left end. Using singularity functions, find the minimum moment of inertia needed to
support the loads without deflecting more than 0.5 in at the mid-span.
y
PA
PB
Lii
b
a
A
B
C
The minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span is
3.47
in4.
Transcribed Image Text:A simply supported steel beam of length L = 16 ft is loaded with two forces PA = 350 lbf and PB = 100 lbf, as shown in the figure. The loads are applied at a = 4 ft and b = 8 ft from the left end. Using singularity functions, find the minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span. y PA PB Lii b a A B C The minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span is 3.47 in4.
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