A brass tube with an outside diameter of 20 mm and 4 mm wall thickness is 80 mm long. It is joined to the end of a solid brass rod with a diameter of 20 mm and 120 mm long to form a compound assembly. This assembly is subjected to tension due to a mass of 150 kg moving at a speed of 0.4 m/s. 3.1. Determine the stresses induced in the rod and the tube respectively. 3.2. Determine the change in length of each part, as well as the total change in length of the assembly. 3.3 Determine the equivalent impact load (in kg) required to have the same effect (produce the same amount of energy) if falls freely from a height of 10 cm onto a collar attached to the bottom of the assembly if the assembly is vertically attached at its top.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
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Question 3 - Strain Energy


A brass tube with an outside diameter of 20 mm and 4 mm wall thickness is 80 mm long.
It is joined to the end of a solid brass rod with a diameter of 20 mm and 120 mm long to
form a compound assembly. This assembly is subjected to tension due to a mass of 150
kg moving at a speed of 0.4 m/s.
3.1. Determine the stresses induced in the rod and the tube respectively.
3.2. Determine the change in length of each part, as well as the total change in length of
the assembly.
3.3 Determine the equivalent impact load (in kg) required to have the same effect
(produce the same amount of energy) if falls freely from a height of 10 cm onto a
collar attached to the bottom of the assembly if the assembly is vertically attached
at its top.
3.4 How much strain energy is absorbed by each section of the assembly?
(For brass: E = 100 GPa and α = 18×10-6/ 0C)

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