Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.6, Problem 4.84P
The cylinder CD of the assembly is heated from T1 = 30°C to T2 = 180°C using electrical resistance. 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 cross-sectional area of 375 mm2. Est = 200 GPa, Eal = 70 GPa, and αal =23(10-6)/°C.
Probs. 4–84/85
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The center rod CD of the assembly is heated from T₁ = 30 °C to T₂ = 165
°C using electrical resistance heating. At the lower temperature T₁ the gap
between C and the rigid bar is 0.7 mm. 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 cross-sectional area of 375 mm². Est = 200 GPa,
Eal = 70 GPa, and cal = 23 (10-) /°C.
(Figure 1)
Figure
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300 mm
Determine the force in the rod AB caused by the increase in temperature.
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Determine the force in the rod EF caused by the increase in temperature.
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Determine the force that the wall exerts on the aluminum rod at point B after the temperature change. (Give your answer in kN and to 0 decimal places.)
Determine the force that the wall exerts on the brass rod at point A after the temperature change. (Give your answer in kN and to 0 decimal places.)
The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by 80 F, determine the force in each wire needed to support the load. Each wire has a cross-sectionalarea of 0.0123 in2. Take Est = 29(10 3) ksi, Ecu = 17(10 3) ksi, fast = 8(10 6)> F, acu = 9.60(10 -6)> F.
Chapter 4 Solutions
Mechanics of Materials (10th Edition)
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