### Mechanical Engineering: Shear and Bending Moment Diagrams#### Problem Statement**Objective:** Draw the shear and bending moment diagrams of the given system. Use the Method of Consistent Deformation, assuming flexural rigidity is equal to \( EI \).#### System DescriptionA beam is positioned horizontally and subjected to the following forces and supports:- **Distributed Load:** There is a uniform distributed load of \( 20 \, \text{kN/m} \) from point A to point B.- **Point Load:** A point load of \( 60 \, \text{kN} \) is applied at point C.- **Span Lengths:** The distance from A to B is \( 12 \, \text{m} \) and the distance from B to C is \( 4 \, \text{m} \).- **Support Structure:** - Point A is fixed. - Point B is supported by a roller. - Point C is simply supported.#### Steps to Solution1. **Calculate Reactions at Supports:** - Analyze equilibrium to find the reaction forces at fixed and support points. 2. **Shear Force Diagram (SFD):** - Begin from the left end and calculate the shear force at each point along the beam. - Note where the distributed load and point load affect the shear.3. **Bending Moment Diagram (BMD):** - Integrate the shear force diagram to get the bending moments at points A, B, and C. - Maximum bending moments typically occur where the shear crosses zero.4. **Method of Consistent Deformation:** - Use compatibility and equilibrium equations to solve for deflections and rotations, considering the provided flexural rigidity \( EI \).#### Additional Notes- **Consider Sign Conventions:** Typically, counterclockwise moments and upward forces are positive.- **Units:** Ensure all distance (meters) and forces (kN) are consistent.This process will illustrate the relationship between external loads and internal shear forces/bending moments within a static beam system.

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Answered: Draw the shear and bending moment…

Draw the shear and bending moment diagram of the given system. Flexural rigidity is equal to El. Use Method of consistent deformation. 20 kN/m 60 kN A 12 m 4 m

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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