Answered: Find the stress in ksi developed in the…

Engineering

Mechanical Engineering

Find the stress in ksi developed in the pipe due to a temperature rise of 83 degrees F.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.13P: : A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered...

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

A wrought iron pipe, 12-foot long, is rigidly fastened between two walls. Find the stress in ksi developed in the pipe due to a temperature rise of 83 degrees F.

(Use E = 10,000 ksi and α = 6.4 x 10^-6 in/in/*F)

Expert Solution

Given Data:

Length of the pipe is $L = 12 ft$
Temperature rise in the pipe is $∆ T = 83 ° F$
Modulus of elasticity of the pipe is $E = 10, 000 ksi$
Thermal expansion coefficient of the pipe is $α = 6.4 \times 10^{- 6} in / in ° F$

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