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Problem 2) For the beam, draw the influence lines for a.) support reaction Cy, b.) shear force at a 80 ft from point A, and c.) bending moment at a section a distance x = 60 ft section a distance x = %3D from point A. The load travels from A (z = 0) to G (z = 150 ft). Hinge Hinge C D E F 35 ft 35 ft +15 ft+25 ft- 25 ft 15 ft-

Problem 2) For the beam, draw the influence lines for a.) support reaction Cy, b.) shear force at a 80 ft from point A, and c.) bending moment at a section a distance x = 60 ft section a distance x = %3D from point A. The load travels from A (z = 0) to G (z = 150 ft). Hinge Hinge C D E F 35 ft 35 ft +15 ft+25 ft- 25 ft 15 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:** For the beam, draw the influence lines for: a) Support reaction \( C_y \) b) Shear force at a section a distance \( x = 80 \) ft from point \( A \) c) Bending moment at a section a distance \( x = 60 \) ft from point \( A \). The load travels from \( A (z = 0) \) to \( G (z = 150 \) ft). --- **Diagram Explanation:** - The diagram illustrates a beam structure with several points marked from \( A \) to \( G \). - The beam contains three hinges at points \( B \), \( C \), and \( E \). - Supports are shown at points \( A \), \( C \), \( E \), and \( G \). - Distances between the points are as follows: - \( A \) to \( B \): 25 ft - \( B \) to \( C \): 15 ft - \( C \) to \( D \): 35 ft - \( D \) to \( E \): 35 ft - \( E \) to \( F \): 15 ft - \( F \) to \( G \): 25 ft - The total length from \( A \) to \( G \) is 150 ft. This problem involves drawing influence lines, which help determine how the support reactions, shear forces, and bending moments vary as a moving load crosses the structure.
Transcribed Image Text:**Problem 2:** For the beam, draw the influence lines for: a) Support reaction \( C_y \) b) Shear force at a section a distance \( x = 80 \) ft from point \( A \) c) Bending moment at a section a distance \( x = 60 \) ft from point \( A \). The load travels from \( A (z = 0) \) to \( G (z = 150 \) ft). --- **Diagram Explanation:** - The diagram illustrates a beam structure with several points marked from \( A \) to \( G \). - The beam contains three hinges at points \( B \), \( C \), and \( E \). - Supports are shown at points \( A \), \( C \), \( E \), and \( G \). - Distances between the points are as follows: - \( A \) to \( B \): 25 ft - \( B \) to \( C \): 15 ft - \( C \) to \( D \): 35 ft - \( D \) to \( E \): 35 ft - \( E \) to \( F \): 15 ft - \( F \) to \( G \): 25 ft - The total length from \( A \) to \( G \) is 150 ft. This problem involves drawing influence lines, which help determine how the support reactions, shear forces, and bending moments vary as a moving load crosses the structure.
Expert Solution
Step 1

When rotation is unrestricted at a hinge, it is called a hinge. There must be no discontinuity in rotations along a beam for any other point on the beam. In other words, rotations to the left of a point must equal rotations to the right of that point.  

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