ME 474 / BME 488 Homework 6
Due: 03/30/2020 @ 6:00 PM
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or Excel (.xls, .xlsx) files used to solve the problems. Make sure your work is well documented
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1. A 20-ft-tall post is used to support advertisement signs at various locations along its height, as
shown in the figure below. The post is made of structural steel with a modulus of elasticity of
E = 29×106 lb/in2. Determine the displacements of the post at the points of load application and
the stresses in the post.
2. The beam shown in the figure below is a wide-flange WI6×31 with a cross-sectional area of
9.12 in2 and a depth of 15.88 in. The second moment of area is 375 in4. The beam is subjected to
a uniformly distributed load of 1000 lb/ft and a point load of 500 lb. The modulus of elasticity of
the beam is E = 29×106 1b/in2. Determine the vertical displacement at node 3 and the rotations at
nodes 2 and 3. Also, compute the reaction forces at nodes 1 and 2 and reaction moment at node 1.
3. The lamp frame shown in the figure below has hollow, square cross sections and is made of
steel, with E = 29×106 lb/in2. Determine the endpoint deflection of the cross member where the
lamp is attached.
𝑏ℎ3 − 𝑏1 ℎ1 3
𝑏 3 ℎ − 𝑏1 3 ℎ1
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