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. PA PB Lu b a A B

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.26P: A beam A BCD rests on simple supports at B and C (see figure). The beam has a slight initial...
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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
X
The minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span is
in 4.
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 X The minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span is in 4.
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