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Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 x 10 psi for steel and 17 x 10° psi for copper.

Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 x 10 psi for steel and 17 x 10° psi for copper.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 × 106 psi for steel and 17 x 10° psi for copper. 0.6 in. 0,75 in. Problem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, 15 in. is heated and shrunk onto a steel cylinder 1500.5 mm in diameter. What is the nor- mal force in the hoop after it has cooleď? Neglect the deformation of the cylinder, and use E == 200 GPa for steel. 0.125 in. Problem 3: The timber member has a cross-sectional area of 1750 mm² and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied. 40 kN 35 kN 20 kN D +1.5 m -3 m 3 m
Transcribed Image Text:Problem 1: The steel rod is placed inside the copper tube, the length of each being ex-, actly 15 in. If the assembly is compressed by 0.0075 in., determine the stress in each component and the applied force P. The moduli of elasticity are 29 × 106 psi for steel and 17 x 10° psi for copper. 0.6 in. 0,75 in. Problem 2: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, 15 in. is heated and shrunk onto a steel cylinder 1500.5 mm in diameter. What is the nor- mal force in the hoop after it has cooleď? Neglect the deformation of the cylinder, and use E == 200 GPa for steel. 0.125 in. Problem 3: The timber member has a cross-sectional area of 1750 mm² and its modulus of elasticity is 12 GPa. Compute the change in the total length of the member after the loads shown are applied. 40 kN 35 kN 20 kN D +1.5 m -3 m 3 m
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