1. A steel tire has a dimensions indicated in the figure below. At 78 degrees Celsius, the said tire was fit into a 1.8m to an engine wheel with 24 degrees Celsius. Calculate the contact pressure between the tire and the wheel after fitting together due to colling of 24 degrees Celsius. The coefficient of expansion due to temperature of the tire is 12.3 micrometer/ m- degrees Celsius and Modulus of Elasticity is FN GPa. 12 mm 200 mm 900mm wide steel tire+ 12 mm Note: Neglect the deformation of the wheel due to the pressure of the tire

1. A steel tire has a dimensions indicated in the figure below. At 78 degrees Celsius, the said tire was fit into a 1.8m to an engine wheel with 24 degrees Celsius. Calculate the contact pressure between the tire and the wheel after fitting together due to colling of 24 degrees Celsius. The coefficient of expansion due to temperature of the tire is 12.3 micrometer/ m- degrees Celsius and Modulus of Elasticity is FN GPa. 12 mm 200 mm 900mm wide steel tire+ 12 mm Note: Neglect the deformation of the wheel due to the pressure of the tire

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A steel tire has a dimensions indicated in the figure below. At 78 degrees Celsius, the said tire was fit into a 1.8m to an engine wheel with 24 degrees Celsius. Calculate the contact pressure between the tire and the wheel after fitting together due to colling of 24 degrees Celsius. The coefficient of expansion due to temperature of the tire is 12.3 micrometer/ m- degrees Celsius and Modulus of Elasticity is FN GPa. 12 mm EN=70 | 200 mm MN=76 900mm wide steel tire+ SN=50 12 mm Note: Neglect the deformation of the wheel due to the pressure of the tire
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A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) isresting on a frictionless surface under the sun. The plate temperature is measured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is measured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1 * 10-5m/m/°C.a. What is the length of shrinkage?b. What tension load is needed to return the length to the original value of 4 meters?c. What is the longitudinal strain under this load?
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