Draw the shear and moment diagrams for the beam loaded with both the distributed and point loads and determine the maximum shear force (absolute value) and the maximum bending moment (absolute value).[Answer: Vmax = 2020 N, Mmax = 3870 N m] The image illustrates a beam supported at two points, labeled A and B. The beam is subject to a uniformly distributed load and a concentrated load. Here's a detailed explanation:1. **Support Points:** - **Point A:** On the left, a fixed support represented by a triangle indicates a pin or hinge connection, which allows rotation but no translation. - **Point B:** On the right, a roller support allows movement in the horizontal direction but restrains vertical movement.2. **Loads:** - **Uniformly Distributed Load (UDL):** - Intensity: 860 N/m - Acts over a length of 2.4 meters, starting 1.5 meters from point A. It is illustrated by a series of downward-pointing arrows. - **Concentrated Load:** - Magnitude: 1550 N - Acts downwards, located 1.5 meters to the right of the end of the UDL, or 1.5 meters from point B.3. **Dimensions:** - The total length of the beam is segmented as follows: - 1.5 meters from point A to the start of the UDL. - 2.4 meters under the UDL. - 1.5 meters from the end of the UDL to the concentrated load. - 1.5 meters from the concentrated load to point B.4. **Coordinate System:** - An \( x \)-axis is shown, originating at point A and extending to the right along the beam.This diagram is typically used in structural analysis to calculate reactions at the supports, shear forces, and bending moments along the beam. It serves as a practical example for understanding how to analyze statically determinant beams under various loading conditions.

Calculate the reaction at support A and B: ∑FV=0RA+RB=3614N∑MA=00=860×2.4×1.5+1.2+1550×1.5+2.4+1.5-RB×6.9RB=2020.696 NRA=3614-RB=1593.304N Draw the shear force diagram of the given beam: Hence, From the above shear force diagram we can conclude that the maximum shera force is 2020.7 N. Draw Bending moment diagram of the given beam: Note: Bending moment will be maximum at the location where shear force is zero (i.e., at 3.3527m from A). Hence, maximum bending moment is 3866 N-m.

Answered: 1550 N 860 N/m A B 1.5 m→ 2.4m - 1.5 m…

Engineering

Civil Engineering

1550 N 860 N/m A B 1.5 m→ 2.4m - 1.5 m 1.5 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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Question

Draw the shear and moment diagrams for the beam loaded with both the distributed and point loads and determine the maximum shear force (absolute value) and the maximum bending moment (absolute value).
[Answer: Vmax = 2020 N, Mmax = 3870 N m]

The image illustrates a beam supported at two points, labeled A and B. The beam is subject to a uniformly distributed load and a concentrated load. Here's a detailed explanation:

1. **Support Points:**
- **Point A:** On the left, a fixed support represented by a triangle indicates a pin or hinge connection, which allows rotation but no translation.
- **Point B:** On the right, a roller support allows movement in the horizontal direction but restrains vertical movement.

2. **Loads:**
- **Uniformly Distributed Load (UDL):**
- Intensity: 860 N/m
- Acts over a length of 2.4 meters, starting 1.5 meters from point A. It is illustrated by a series of downward-pointing arrows.

- **Concentrated Load:**
- Magnitude: 1550 N
- Acts downwards, located 1.5 meters to the right of the end of the UDL, or 1.5 meters from point B.

3. **Dimensions:**
- The total length of the beam is segmented as follows:
- 1.5 meters from point A to the start of the UDL.
- 2.4 meters under the UDL.
- 1.5 meters from the end of the UDL to the concentrated load.
- 1.5 meters from the concentrated load to point B.

4. **Coordinate System:**
- An \( x \)-axis is shown, originating at point A and extending to the right along the beam.

This diagram is typically used in structural analysis to calculate reactions at the supports, shear forces, and bending moments along the beam. It serves as a practical example for understanding how to analyze statically determinant beams under various loading conditions.

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