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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can you help me on part 3 and 4
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For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 19.5 kips/ft, a=6.0 ft, and b=21.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) Determine the bending moment acting at each of the following locations:(a) x = 6.0 ft (i.e., at support B)(b) x = 26.5 ftNote that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2.Answers: (a) M = kips-ft (b) M = kips-ft
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