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(a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. 2 m 6 kN/m A X -4 m 2m 12 kN 8 kN.m 2m 3 m 10 kN/m

(a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. 2 m 6 kN/m A X -4 m 2m 12 kN 8 kN.m 2m 3 m 10 kN/m

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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Question
### Structural Analysis of a Loaded Beam **Q.2) (a) Find the support reactions of the beam shown below.** (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points.** **Beam Description:** The beam is supported at two points, marked as A and B. The horizontal beam is subjected to various loads as follows: - A uniformly distributed load (UDL) of 6 kN/m is applied over a length of 4 meters starting from the left end (between A and B). - A point load of 12 kN acts downwards at a distance of 6 meters from the left end. - A clockwise moment of 8 kN.m is applied at a point 8 meters from the left end. - Another UDL that linearly increases from 0 kN/m to 10 kN/m over a length of 3 meters, starting at 7 meters from the left end. **Dimensions:** - Distance from the left end to support A: 2 meters - Distance between supports A and B: 4 meters - Distance from support B to the point where the linearly increasing UDL ends: 3 meters **Diagram Descriptions:** - A vertical y-axis and a horizontal x-axis are used for reference. - The uniformly distributed load of 6 kN/m is visually depicted by arrows pointing downwards, distributed evenly between supports A and B. - The 12 kN point load acts vertically downward with a distinct arrow at the specific location mentioned. - The 8 kN.m moment is indicated with a curved arrow, showing the point of action and direction. - The linearly increasing load is represented by a triangular shape, starting from 0 and peaking at 10 kN/m towards the end of the beam. **Graphical Explanations:** 1. **Support Reactions:** - The reactions at supports A and B act vertically upward to counterbalance the applied loads. 2. **Shear Force Diagram (SFD):** - The shear force diagram would start from zero at the left end. - It will linearly increase or decrease corresponding to the respective loads (UDL, point load, and moment). - Key points where the shear force drastically changes should be marked and their values calculated.
Transcribed Image Text:### Structural Analysis of a Loaded Beam **Q.2) (a) Find the support reactions of the beam shown below.** (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points.** **Beam Description:** The beam is supported at two points, marked as A and B. The horizontal beam is subjected to various loads as follows: - A uniformly distributed load (UDL) of 6 kN/m is applied over a length of 4 meters starting from the left end (between A and B). - A point load of 12 kN acts downwards at a distance of 6 meters from the left end. - A clockwise moment of 8 kN.m is applied at a point 8 meters from the left end. - Another UDL that linearly increases from 0 kN/m to 10 kN/m over a length of 3 meters, starting at 7 meters from the left end. **Dimensions:** - Distance from the left end to support A: 2 meters - Distance between supports A and B: 4 meters - Distance from support B to the point where the linearly increasing UDL ends: 3 meters **Diagram Descriptions:** - A vertical y-axis and a horizontal x-axis are used for reference. - The uniformly distributed load of 6 kN/m is visually depicted by arrows pointing downwards, distributed evenly between supports A and B. - The 12 kN point load acts vertically downward with a distinct arrow at the specific location mentioned. - The 8 kN.m moment is indicated with a curved arrow, showing the point of action and direction. - The linearly increasing load is represented by a triangular shape, starting from 0 and peaking at 10 kN/m towards the end of the beam. **Graphical Explanations:** 1. **Support Reactions:** - The reactions at supports A and B act vertically upward to counterbalance the applied loads. 2. **Shear Force Diagram (SFD):** - The shear force diagram would start from zero at the left end. - It will linearly increase or decrease corresponding to the respective loads (UDL, point load, and moment). - Key points where the shear force drastically changes should be marked and their values calculated.
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