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The beam is supported by a pin at B and a roller at D. The applied loads shown in the figure have magnitudes F₁ = 720 lb, F₂ = 510 lb, w = 160 lb/ft, and M = 2280 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). Also enter the support reactions as an intermediate check on your work. Take x = 0 at point A at the left edge of the beam. ру |F₁ a M a b * Variable Value 5.40 ft 12.7 ft 4.59 ft C W Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Support Reactions The reaction at B is The reaction at D is 2013 Michael Swanbom 030 BY NO SA lb. lb. AO Shear Force and Bending Moment Equations In section AB: x

The beam is supported by a pin at B and a roller at D. The applied loads shown in the figure have magnitudes F₁ = 720 lb, F₂ = 510 lb, w = 160 lb/ft, and M = 2280 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). Also enter the support reactions as an intermediate check on your work. Take x = 0 at point A at the left edge of the beam. ру |F₁ a M a b * Variable Value 5.40 ft 12.7 ft 4.59 ft C W Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Support Reactions The reaction at B is The reaction at D is 2013 Michael Swanbom 030 BY NO SA lb. lb. AO Shear Force and Bending Moment Equations In section AB: x

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 involves a beam supported by a pin at B and a roller at D. It is subjected to various applied loads: \( F_1 = 720 \) lb, \( F_2 = 510 \) lb, a uniform load \( w = 160 \) lb/ft, and a moment \( M = 2280 \) ft-lb. The task is to draw the shear force and bending moment diagrams and determine the equations for \( V(x) \) (shear force) and \( M(x) \) (bending moment). Additionally, the support reactions must be calculated. The distance \( x \) begins from point A, located at the left edge of the beam. ### Diagram Description: - **Beam Configuration:** - A pin support is placed at B. - A roller support is placed at D. - The beam is divided into three segments based on loads and supports: AB, BC, CD. - **Forces:** - \( F_1 = 720 \) lb is applied vertically at a distance \( a \) from point A. - A moment \( M = 2280 \) ft-lb acts at the same location. - A distributed load \( w = 160 \) lb/ft acts over segment BC. - \( F_2 = 510 \) lb is applied vertically at the end of segment BC. ### Dimensions: - \( a = 5.40 \) ft - \( b = 12.7 \) ft - \( c = 4.59 \) ft ### Calculations: - **Support Reactions:** - The reaction at B: [Input required] lb - The reaction at D: [Input required] lb - **Shear Force and Bending Moment Equations:** - **In Section AB:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft - **In Section BC:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft - **In Section CD:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft The
Transcribed Image Text:The problem involves a beam supported by a pin at B and a roller at D. It is subjected to various applied loads: \( F_1 = 720 \) lb, \( F_2 = 510 \) lb, a uniform load \( w = 160 \) lb/ft, and a moment \( M = 2280 \) ft-lb. The task is to draw the shear force and bending moment diagrams and determine the equations for \( V(x) \) (shear force) and \( M(x) \) (bending moment). Additionally, the support reactions must be calculated. The distance \( x \) begins from point A, located at the left edge of the beam. ### Diagram Description: - **Beam Configuration:** - A pin support is placed at B. - A roller support is placed at D. - The beam is divided into three segments based on loads and supports: AB, BC, CD. - **Forces:** - \( F_1 = 720 \) lb is applied vertically at a distance \( a \) from point A. - A moment \( M = 2280 \) ft-lb acts at the same location. - A distributed load \( w = 160 \) lb/ft acts over segment BC. - \( F_2 = 510 \) lb is applied vertically at the end of segment BC. ### Dimensions: - \( a = 5.40 \) ft - \( b = 12.7 \) ft - \( c = 4.59 \) ft ### Calculations: - **Support Reactions:** - The reaction at B: [Input required] lb - The reaction at D: [Input required] lb - **Shear Force and Bending Moment Equations:** - **In Section AB:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft - **In Section BC:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft - **In Section CD:** - \( V(x) = \) [Input required] lb - \( M(x) = \) [Input required] lb-ft The
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