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ATA TB Tc 15 kN B 0.5 m - 2 m. 2 m <1m <1m² Prob. 5–67

ATA TB Tc 15 kN B 0.5 m - 2 m. 2 m <1m <1m² Prob. 5–67

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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The problem statement reads: "5–67. The uniform concrete slab has a mass of 2400 kg. Determine the tension in each of the three parallel supporting cables when the slab is held in the horizontal plane as shown." The diagram accompanying the text shows a concrete slab supported by three cables labeled \(T_A\), \(T_B\), and \(T_C\). The slab is positioned in a horizontal plane with axes marked as \(x\), \(y\), and \(z\). **Diagram Details:** - The slab dimensions are provided: - Along the \(x\)-axis, the slab extends 0.5 meters and then 2 meters to point \(C\). - Along the \(y\)-axis, it extends 2 meters to point \(A\). - Points of tension: - \(T_A\) is shown at point \(A\) along the \(z\)-axis. - \(T_B\) is shown at point \(B\), 1 meter from \(C\). - \(T_C\) originates at point \(C\) with a downward force labeled as 15 kN. The goal is to calculate the tension in each cable when the slab is in equilibrium. The slab is depicted with a dotted pattern to represent a uniform mass distribution. The forces due to the tension act upward, counterbalancing the weight of the slab and the additional 15 kN force applied at \(C\).
Transcribed Image Text:The problem statement reads: "5–67. The uniform concrete slab has a mass of 2400 kg. Determine the tension in each of the three parallel supporting cables when the slab is held in the horizontal plane as shown." The diagram accompanying the text shows a concrete slab supported by three cables labeled \(T_A\), \(T_B\), and \(T_C\). The slab is positioned in a horizontal plane with axes marked as \(x\), \(y\), and \(z\). **Diagram Details:** - The slab dimensions are provided: - Along the \(x\)-axis, the slab extends 0.5 meters and then 2 meters to point \(C\). - Along the \(y\)-axis, it extends 2 meters to point \(A\). - Points of tension: - \(T_A\) is shown at point \(A\) along the \(z\)-axis. - \(T_B\) is shown at point \(B\), 1 meter from \(C\). - \(T_C\) originates at point \(C\) with a downward force labeled as 15 kN. The goal is to calculate the tension in each cable when the slab is in equilibrium. The slab is depicted with a dotted pattern to represent a uniform mass distribution. The forces due to the tension act upward, counterbalancing the weight of the slab and the additional 15 kN force applied at \(C\).
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