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aft. Calculate the t

aft. Calculate the t

Structural Analysis
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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**Problem 3/54** The horizontal steel shaft has a mass of 480 kg and is suspended by a vertical cable from point A and by a second cable BC, which lies in a vertical transverse plane and loops underneath the shaft. Calculate the tensions \( T_1 \) and \( T_2 \) in the cables. **Explanation of Diagram:** - The diagram shows a horizontal shaft that is 4 meters in length and has a mass of 480 kg. - Point A is located 1 meter from the right end of the shaft, and there is a vertical cable from point A to a fixed support, resulting in tension \( T_1 \). - Point B is located 1.5 meters horizontally to the left of point A and 1.5 meters vertically above the shaft. - Point C is located 3 meters to the left of point A and vertically above the shaft such that the distance between B and C in the vertical plane is 1.5 meters. - The second cable \( BC \) spans from point B to point C, with point B attached to the shaft. This cable contributes to the tension \( T_2 \). In summary, the steel shaft is supported by two tensions: 1. \( T_1 \), acting vertically upward from A. 2. \( T_2 \), acting at an angle due to the cable connecting points B and C. The problem involves the static equilibrium of the shaft where the sum of the forces and moments must equal zero.
Transcribed Image Text:**Problem 3/54** The horizontal steel shaft has a mass of 480 kg and is suspended by a vertical cable from point A and by a second cable BC, which lies in a vertical transverse plane and loops underneath the shaft. Calculate the tensions \( T_1 \) and \( T_2 \) in the cables. **Explanation of Diagram:** - The diagram shows a horizontal shaft that is 4 meters in length and has a mass of 480 kg. - Point A is located 1 meter from the right end of the shaft, and there is a vertical cable from point A to a fixed support, resulting in tension \( T_1 \). - Point B is located 1.5 meters horizontally to the left of point A and 1.5 meters vertically above the shaft. - Point C is located 3 meters to the left of point A and vertically above the shaft such that the distance between B and C in the vertical plane is 1.5 meters. - The second cable \( BC \) spans from point B to point C, with point B attached to the shaft. This cable contributes to the tension \( T_2 \). In summary, the steel shaft is supported by two tensions: 1. \( T_1 \), acting vertically upward from A. 2. \( T_2 \), acting at an angle due to the cable connecting points B and C. The problem involves the static equilibrium of the shaft where the sum of the forces and moments must equal zero.
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