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Problem 2: The force F = {400i – 100j – 700k} lb acts at the end of the beam. Determine %3D the moment of this force about point O. F -y 8 ft 1.5 ft 0.25 ft

Problem 2: The force F = {400i – 100j – 700k} lb acts at the end of the beam. Determine %3D the moment of this force about point O. F -y 8 ft 1.5 ft 0.25 ft

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 2:** The force \( \mathbf{F} = \{400\mathbf{i} - 100\mathbf{j} - 700\mathbf{k}\} \, \text{lb} \) acts at the end of the beam. Determine the moment of this force about point \( O \). **Diagram Explanation:** - The diagram shows a 3D representation of a beam. - Points \( A \), \( B \), and \( O \) are marked on the beam. - The force \( \mathbf{F} \) is applied at point \( B \). - The coordinate system is illustrated with axes \( x \), \( y \), and \( z \). - Dimensions given in the diagram: - The distance along the \( x \)-axis from the origin \( O \) to the edge of the beam is \( 0.25 \, \text{ft} \). - The distance along the \( y \)-axis from the origin \( O \) to point \( A \) is \( 8 \, \text{ft} \). - The distance along the \( z \)-axis from the base to point \( B \) is \( 1.5 \, \text{ft} \). This visual helps in understanding the position of the force with respect to point \( O \) for calculating the moment.
Transcribed Image Text:**Problem 2:** The force \( \mathbf{F} = \{400\mathbf{i} - 100\mathbf{j} - 700\mathbf{k}\} \, \text{lb} \) acts at the end of the beam. Determine the moment of this force about point \( O \). **Diagram Explanation:** - The diagram shows a 3D representation of a beam. - Points \( A \), \( B \), and \( O \) are marked on the beam. - The force \( \mathbf{F} \) is applied at point \( B \). - The coordinate system is illustrated with axes \( x \), \( y \), and \( z \). - Dimensions given in the diagram: - The distance along the \( x \)-axis from the origin \( O \) to the edge of the beam is \( 0.25 \, \text{ft} \). - The distance along the \( y \)-axis from the origin \( O \) to point \( A \) is \( 8 \, \text{ft} \). - The distance along the \( z \)-axis from the base to point \( B \) is \( 1.5 \, \text{ft} \). This visual helps in understanding the position of the force with respect to point \( O \) for calculating the moment.
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