5.110 ### Example Problem 5/110:**Determine the shear force \( V \) and bending moment \( M \) at a section of the loaded beam 200 mm to the right of \( A \).**#### Illustration and Description:The diagram accompanying the problem shows a horizontal beam supported at two points:- The left end of the beam, point \( A \), is supported by a pin support.- The right end of the beam, point \( B \), is supported by a roller support.**Beam Dimensions and Loading:**- The total length of the beam is 600 mm.- There is a uniformly distributed load (UDL) of 6 kN/m acting along the entire length of the beam.- The distance between points \( A \) and \( B \) is evenly split, with 300 mm from \( A \) to the midpoint and another 300 mm from the midpoint to \( B \).To determine the shear force \( V \) and bending moment \( M \) at a point 200 mm to the right of \( A \), follow the steps for static equilibrium analysis:**Key Inputs:**1. **Support Reactions:** - Calculate the reactions at supports \( A \) and \( B \) by considering the entire beam in equilibrium. 2. **Shear Force at Section:** - Use the calculated support reactions to find the shear force 200 mm to the right of point \( A \). 3. **Bending Moment at Section:** - Use the shear force and the distribution of external loads to calculate the bending moment 200 mm to the right of point \( A \). **Calculations:**1. **Determine reactions at supports:** - Consider the total load from the distributed load: \( w = 6 \, \text{kN/m} \times 0.6 \, \text{m} = 3.6 \, \text{kN} \) - Applying equilibrium equations: - Sum of vertical forces must be zero. - Sum of moments around any point (commonly chosen at \( A \) or \( B \)) must be zero. 2. **Evaluating Section Equilibrium:** - Isolate the segment of the beam up to the section point. - Apply equilibrium conditions on this segment to find \( V \) and \( M \).

Given- Determine-Shear force V and bending moment M at the section of loaded beam 200mm to…

Answered: 5/110 Determine the shear force V and…

5/110 Determine the shear force V and bending moment M at a section of the loaded beam 200 mm to the right of A. 6 kN/m 300 mm 300 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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