### Problem Statement for Educational Website**Question 1:**(a) Calculate the support reactions of the loaded beam shown below.(b) Write shear-force and bending moment equations of the beam as a function of distance 'x' from the left-end of the beam for a beam section under the triangular distributed loading.(c) Sketch the shear-force and bending moment diagrams for the beam using the Graphical method. Label the values of shear-force and bending moment at all key points.### Beam DiagramThe diagram illustrates a horizontally loaded beam with a variety of forces and moments acting upon it. Key features include:- A moment of 200 N·m applied counterclockwise at the left end.- A point load of 600 N vertically downward applied 3 meters from the left end.- A support at point A located 3 meters from the left end.- A concentrated load of 300 N·m applied counterclockwise at a point 6 meters from the left end.- A triangular distributed load starting at zero and increasing to 100 N/m over a length of 3 meters from the midpoint to 9 meters.- A distributed load of 50 N/m applied over the last 2 meters of the beam, ending at point B.- Support at point B located at the far right end of the beam, 11 meters from the left end.### Steps to Solve:1. **Calculating Support Reactions:** - Sum of vertical forces and moments about the supports. - Using equilibrium equations to find reactions at points A and B.2. **Shear-Force and Bending Moment Equations:** - Derive equations for various segments of the beam (0 to 3m, 3m to 6m, 6m to 9m, and 9m to 11m). - Utilize the effects of point loads, moments, and distributed loads.3. **Sketching Shear-Force and Bending Moment Diagrams:** - Graph the results obtained from the shear-force and bending moment equations. - Label all significant points including points of zero shear, maximum/minimum bending moments, and support reactions.### Diagram Explanation1. **Moment of 200 N·m** at the left end (counterclockwise).2. **Vertical point load of 600 N** downwards at 3 meters from the left end.3. **Support at point A** providing

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(b) Write shear-force and bending moment equations of the beam a a function of distant 'x' from the left-end of the beam for a beam sectio under the triangular distributed loading. (c) Sketch the shear-force and bending moment diagrams for the beam using the Graphical method. Label the values of shear-force and bending- moment at all key points. 200 N 300 N-M 50N/ 100 N/m 600N-m 3m 0 2w 13

(b) Write shear-force and bending moment equations of the beam a a function of distant 'x' from the left-end of the beam for a beam sectio under the triangular distributed loading. (c) Sketch the shear-force and bending moment diagrams for the beam using the Graphical method. Label the values of shear-force and bending- moment at all key points. 200 N 300 N-M 50N/ 100 N/m 600N-m 3m 0 2w 13

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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