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Solved: The cylinder CD of the assembly is heated from T1

Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler ISBN: 9780134319650 134

Solution for problem 4-85 Chapter 4

Mechanics of Materials | 10th Edition

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Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler

Mechanics of Materials | 10th Edition

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Problem 4-85

The cylinder CD of the assembly is heated from T1 = 30C to T2 = 180C using electrical resistance. Also, the two end rods AB and EF are heated from T1 = 30C to T2 = 50C. At the lower temperature T1 the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm2. CD is made of aluminum and has a crosssectional area of 375 mm2. Est = 200 GPa, Eal = 70 GPa, ast = 12(10-6)>C, and aal = 23(10-6)>C.

Step-by-Step Solution:

Problem 4-85The cylinder CD of the assembly is heated from T1 = 30°C to T2 = 180°C using electricalresistance. Also, the two end rods AB and EF are heated from T1 = 30°C to T2 = 50°C. Atthe lower temperature T1 the gap between C and the rigid bar is 0.7 mm. Determine theforce in rods AB and EF caused by the increase in temperature. Rods AB and EF are madeof steel, and each has a cross-sectional area of 125 mm2. CD is made of aluminum andhas a cross sectional area of 375 mm2. Est = 200 GPa, Ea = 70 GPa, st = 12(10-6)/°C,and al = 23(10-6)/°C. Step-by-step solution Step 1 of 4 ^Draw the free body diagram of the bar.

Step 2 of 4

Chapter 4, Problem 4-85 is Solved
Step 3 of 4

Textbook: Mechanics of Materials
Edition: 10
Author: Russell C. Hibbeler
ISBN: 9780134319650

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Solved: The cylinder CD of the assembly is heated from T1