A column is made of the two materials side by side as shown. Each material carries a portion of the total load P. Each material has the same 4" thickness perpendicular to the picture. Assuming the load is placed in such a way that the top rigid plate moves down without rotating, determine the stress in each material and the vertical displacement of the top rigid cap. Use P= 20 kips. Hint: Treat the top plate as a joint for drawing your FBD.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.12.4P
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A column is made of the two materials side by side as shown. Each material carries a portion of the total load P.
Each material has the same 4" thickness perpendicular to the picture. Assuming the load is placed in such a way
that the top rigid plate moves down without rotating, determine the stress in each material and the vertical
displacement of the top rigid cap. Use P = 20 kips. Hint: Treat the top plate as a joint for drawing your FBD.
Transcribed Image Text:A column is made of the two materials side by side as shown. Each material carries a portion of the total load P. Each material has the same 4" thickness perpendicular to the picture. Assuming the load is placed in such a way that the top rigid plate moves down without rotating, determine the stress in each material and the vertical displacement of the top rigid cap. Use P = 20 kips. Hint: Treat the top plate as a joint for drawing your FBD.
30 in.
Aluminum
Red
brass
6 in. 3 in.
Transcribed Image Text:30 in. Aluminum Red brass 6 in. 3 in.
Expert Solution
Step 1

Given,

P = 20 kips

d = 4 in

wal = 6 in

wrb = 3 in

L = 30 in

 

Here, young modulus for both the materials are not given, taking the standard values,

Eal = 10.6 x 106 psi

Erb = 14.6 x 106 psi

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