### Problem 4.28**Description:**A homogeneous beam \( AB \) weighing 3560 N is shown in the diagram. The beam carries a triangular distributed load. The diagram indicates that the distributed load increases linearly from 0 N/m at point \( A \) to 2335 N/m at point \( B \), over a length of 3.66 meters. The beam is supported at points \( A \) and \( B \). **Objective:**The task is to find the reactions at the support points \( A \) and \( B \).**Diagram Explanation:**- The diagram shows a beam positioned horizontally along the x-axis with the left end at point \( A \) and the right end at point \( B \).- The distributed load is represented by a series of arrows forming a triangular shape above the beam. The height of the arrows increases from left to right, indicating the load increases linearly from point \( A \) to point \( B \).- The maximum load of 2335 N/m is indicated at point \( B \).- The length between points \( A \) and \( B \) is labeled as 3.66 meters.**Objective Clarification:**- Calculate the vertical and horizontal reactions at each support \( A \) and \( B \), considering both the weight of the beam and the distributed load.

Answered: Image /qna-images/answer/19feacc7-f00e-4b30-a64d-bcd41eb30dae.jpg

Answered: 2335 N/m 3.66 m Figure P4.28 4.28 The…

2335 N/m 3.66 m Figure P4.28 4.28 The homogeneous beam AB weighing 3560 N carries the distributed load shown. Find the support reactions at A and B.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A. Determine the y component of reaction at A. B. Determine the x and y components of reaction B. C. Determine the moment of reaction at B.
For the Gerber beam in the figure: (a) The decomposition of the structure; (b) What is the value of P so that the bending moment in section D is equal to the maximum bending moment in section AB; and (c) Adopting P = 50 kN, the bending moments and shearing forces diagrams.
4. Solve for the support reactions at A and B. Hint: break the reaction at roller B into x and Y components. 15
For a = 1.5m, determine the reactions at pin A and roller B. 1800 N/m A 4 m Solution: • There are two distributed loads acting on the beam, left and right. Replace them with equivalent concentrated loads respectively: 1. The distributed load on the left part of the beam is equivalent to F₁: o Magnitude of it: F₁ = N; o Location of it: x₁ = m to the right of A; 2. The distributed load on the right part of the beam is equivalent to F2: o Magnitude of it: F2 = N; o Location of it: X₂ = 600 N/m B 1. Reactions on A: 2 Reactions on R • The two supports are replaced by corresponding reactions: → m to the right of A;
Reactions have been calculated for the beam AB shown in the figure. The shear force at location X (4m to the right of A) is most nearly equal to 6kN 3kN/m A i B VA = 8.4kN Vg = 9.6kN 4m 2m 4m 2m 2m
Beam AG is supported by a pin support at A and a roller support at G. Calculate all the support reactions for the given condition (Figure 2). 15 kN 5kN II B C+ 0.5 m 1m 12kN A₁ tombe 0.5 m 1m 5kN 20 kN.m 4 0.5 m 5 kN/m 1m
Please solve for the reactions and draw the shear and moment diagram. Please show the full solution.
Determine the reactions and draw the shear force and bending moment diagrams. the redundats are the reactions at B and C. EI constant.
4. Solve for the horizontal and vertical reactions at the given supports. If there exists a moment, solve for its value. a. 15 KN/m 12 kNm 12 AN/m 5 AN/m 2 m 2m 2m 2m b. 25 Am 25 Am 15 Nm 15 Nm 1.5m 1.5m 15m D.
cylinder in equilibrium on the rough inclined surface. 4.28 The homogencous beam AB weighing 3000 N carries the distributed load shown. Find the support reactions at A and B.
D (5000 mm?) (4000 mm (5000 mm?) 3 m (4000 mn) (5000 mm) B (5000 mm?) A 100 kN 2 panels at 4 m 8 m E = 200 GPa Analyze the truss shown using MCD. Determine the force in member AE. For reactions that is downward and going to the left, input your answers as negative. * („uu 000) /4000 mm)
5.3 The beam is subjected to a load F = 400 N and is supported by the rope and the smooth surfaces at A and B. (a) Draw the free-body diagram of the beam. (b) What are the magnitudes of the reactions at A and B? 45° A F B 30° -1.2 m-1.5 m-1 m- Problem 5.3