Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 4.6, Problem 4.79P
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop along the pipe is linear, determine the average normal stress developed in the pipe. Assume the walls of each tank act as a spring, each having a stiffness of k=900 MN/m.
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When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop along the pipe is linear, determine the average normal stress developed in the pipe. Assume each tank provides rigid support at A and B.
At the ambient temperature, the A-36 steel pipe fits snugly between the two fuel tanks.
When fuel flows through the pipe, it causes the temperature to vary along the pipe. As a
consequence, if the pipe were unconstrained by the rigid supports at A and B, it would
elongate by 8, = 4.6 mm. What is the normal stress developed in the pipe? For A-36
steel, Est = 200 GPa.
150 mm
10 mm
Section a - a
-6 m
Air is pumped into the steel thin-walled pressure vessel at C. If the ends of the vessel are closed using two pistons connected by a rod AB, determine the increase in the diameter of the pressure vessel when the internal gage pressure is 5 MPa. Also, what is the tensile stress in rod AB if it has a diameter of 100 mm? The inner radius of the vessel is 400 mm, and its thickness is 10 mm. Est = 200 GPa and nst = 0.3.
Chapter 4 Solutions
Mechanics of Materials
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