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Problem 3: Determine the moment of the force F about the door hinge at A. Express the result as a Cartesian vector. 7 ft 4 ft F = 80 lb 1.5 ft So000000000 450 D 1.5 ft 5 ft 3 ft

Problem 3: Determine the moment of the force F about the door hinge at A. Express the result as a Cartesian vector. 7 ft 4 ft F = 80 lb 1.5 ft So000000000 450 D 1.5 ft 5 ft 3 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 3:** Determine the moment of the force \( F \) about the door hinge at \( A \). Express the result as a Cartesian vector. ### Diagram Explanation: The diagram shows a door hinged at point \( A \) and illustrates how the force \( F \) is applied. The key elements include: - **Force \( F \):** 80 lb, directed from point \( C \) towards the door. - **Dimensions:** - From \( C \) to \( A \): 7 ft - Width of the door from \( A \) to the furthest edge: 4 ft - Distance from \( A \) to \( D \): 1.5 ft - Distance from \( D \) to the \( y \)-axis: 5 ft - Distance from \( B \) to the \( y \)-axis: 3 ft - Height along the \( z \)-axis from the base to the top of the surface: not specifically marked. - **Angle:** The angle between the force \( F \) and the horizontal plane at \( C \) is 45°. - **Coordinate Axes:** - \( x \)-axis runs horizontally from point \( B \) to \( D \). - \( y \)-axis runs horizontally, perpendicular to the \( x \)-axis. - \( z \)-axis runs vertically, perpendicular to both the \( x \) and \( y \)-axes. This setup illustrates a classic statics problem where the objective is to calculate the rotational effect (moment) of the force about a specified pivot point, expressed in Cartesian coordinates.
Transcribed Image Text:**Problem 3:** Determine the moment of the force \( F \) about the door hinge at \( A \). Express the result as a Cartesian vector. ### Diagram Explanation: The diagram shows a door hinged at point \( A \) and illustrates how the force \( F \) is applied. The key elements include: - **Force \( F \):** 80 lb, directed from point \( C \) towards the door. - **Dimensions:** - From \( C \) to \( A \): 7 ft - Width of the door from \( A \) to the furthest edge: 4 ft - Distance from \( A \) to \( D \): 1.5 ft - Distance from \( D \) to the \( y \)-axis: 5 ft - Distance from \( B \) to the \( y \)-axis: 3 ft - Height along the \( z \)-axis from the base to the top of the surface: not specifically marked. - **Angle:** The angle between the force \( F \) and the horizontal plane at \( C \) is 45°. - **Coordinate Axes:** - \( x \)-axis runs horizontally from point \( B \) to \( D \). - \( y \)-axis runs horizontally, perpendicular to the \( x \)-axis. - \( z \)-axis runs vertically, perpendicular to both the \( x \) and \( y \)-axes. This setup illustrates a classic statics problem where the objective is to calculate the rotational effect (moment) of the force about a specified pivot point, expressed in Cartesian coordinates.
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