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Using the equilibrium method (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C 6 ft 6 ft 6 ft

Using the equilibrium method (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C 6 ft 6 ft 6 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 5** Using the **equilibrium method** (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C **Diagram:** - The diagram shows a simply supported beam with length divided into three equal sections of 6 feet each. - Supports: - There is a pin support at point A (left end). - There is a rocker support at point B (right end). - The points on the beam are labeled as follows: - Point A is at the left end of the beam. - Point B is at the right end of the beam. - Point C is located in the middle of the beam, 6 feet from either support (A and B). **Dimensions:** - The beam is divided into segments of equal lengths of 6 feet each. - The distance between supports A and B is 12 feet, with point C located at the midpoint. **Tasks:** - **(a) Vertical reaction at B:** Determine the influence line for the vertical reaction at support B. - **(b) Shear just to the right of the rocker at A:** Determine the influence line for the shear force just to the right of point A. - **(c) Moment at C:** Determine the influence line for the moment at the midpoint (C) of the beam. The aim is to plot the graphical representation of the influence lines for the vertical reaction at B, the shear just to the right of the rocker at A, and the moment at C, based on equilibrium equations.
Transcribed Image Text:**Problem 5** Using the **equilibrium method** (write equations), draw the influence lines for the following response functions for the beam shown below. (a) the vertical reaction at B (b) the shear just to the right of the rocker at A (c) the moment at C **Diagram:** - The diagram shows a simply supported beam with length divided into three equal sections of 6 feet each. - Supports: - There is a pin support at point A (left end). - There is a rocker support at point B (right end). - The points on the beam are labeled as follows: - Point A is at the left end of the beam. - Point B is at the right end of the beam. - Point C is located in the middle of the beam, 6 feet from either support (A and B). **Dimensions:** - The beam is divided into segments of equal lengths of 6 feet each. - The distance between supports A and B is 12 feet, with point C located at the midpoint. **Tasks:** - **(a) Vertical reaction at B:** Determine the influence line for the vertical reaction at support B. - **(b) Shear just to the right of the rocker at A:** Determine the influence line for the shear force just to the right of point A. - **(c) Moment at C:** Determine the influence line for the moment at the midpoint (C) of the beam. The aim is to plot the graphical representation of the influence lines for the vertical reaction at B, the shear just to the right of the rocker at A, and the moment at C, based on equilibrium equations.
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