a.) Derive the shear and bending momentequations for the entire beam.b.) Draw the complete shear and bendingmoment diagram for the beam to the right. Makesure your graph is neat and drawn on graph paperor with a computer aided graphing program. ### Analysis of a Beam under Various Loads#### Diagram Description:The provided diagram illustrates a beam with several types of loads and supports. The beam is labeled with two reference points, A and B, and is subjected to the following loads:1. A concentrated vertical load of 4 kN acting downward at a distance of 2 meters from the left end (point A).2. A uniformly distributed load (UDL) of 1 kN/m applied between points A and B.3. A triangular load varying from 1 kN/m to 3 kN/m over a span of 2 meters, starting from point B towards the right end of the beam.#### Support Conditions:- The beam is supported by a fixed support at point A, which prevents any translational and rotational movement.- The beam is supported by a roller support at point B, which allows horizontal translation but restricts vertical movement and rotation.#### Dimensional Details:- The total length of the beam is 6 meters.- The distance between point A and the position of the 4 kN load is 2 meters.- The distance between point A and B is 4 meters.- The distance between point B and the right end of the beam is 2 meters.#### Load Distribution:- **Concentrated Load:** A vertical force of 4 kN is positioned 2 meters from point A.- **Uniformly Distributed Load (UDL):** The UDL of 1 kN/m extends from point A to point B (4 meters in length).- **Triangular Load:** The triangular load varies linearly from 1 kN/m at point B to 3 kN/m at the right end of the beam over a 2-meter distance.#### Steps to Analyze the Beam:1. **Support Reactions:** - Calculate the reactions at supports A (fixed) and B (roller). - Summing moments about point A to find the reaction at B. - Summing vertical forces to find the vertical reaction at A.2. **Shear Force and Bending Moment:** - Create shear force and bending moment diagrams by integrating the effects of the loads from left to right. - Account for the distributed loads by converting them into equivalent point loads at their centroids. - Apply the boundary conditions at supports to find constants of integration.3. **Deflection:** - Use calculus to determine the def

Answered: Image /qna-images/answer/4f3a7150-6c55-4440-a4c0-7ad66f589904.jpg

Answered: shear and bending moment diagram for…

Engineering

Civil Engineering

shear and bending moment diagram for the beam to the right. Make sure your graph is neat and drawn on graph pa

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

do all 4 parts please and fast please
PLEASE MAKE THE SOLUTION COMPLETE and UNDERSTANDABLE AND READABLE. Show fbd to your solution.
i will upvote who can answer this question
Your role as structural design engineer in a consultant firm, you have been assigned a task to analyses the the Aluminium beam shown in Figure.1. The aluminium beam carries a uniformly distributed load of 45KN/m and two concentrated loads at point A of 20 kN and of 40 kN at point D as shown in figure 1. Your manger asked you to do the following. A) Replace the distributed load with an equivalent concentrated load. B) Draw a free body diagram for the beam showing the forces acting on the beam and their locations. C) Applying the equations of equilibrium, determine the reactions forces at the fixed pin support B and roller support at point C. D) If the aluminium beam is replaced by another iron beam which undergoes an expansion of 0.2 m when heated from 10 C° to 50 C° (Knowing that the coefficient of linear expansion of iron is a =11.7×10-6 K-1. Calculate the original length of the beam. Then suppose that the temperature is decreased from 50 C° to 10 C°, explain how this will affect the…
MEE1004 Mechanics of Materials Tutorial Problems (eligible for coursework submission): 1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from A to B and a concentrated moment at C. Use the GRAPHICAL METHOD to plot the shear force and bending moment diagrams for the entire length of the beam. Label values at all key locations on the plots (at changes in loads, maxima, minima, and zeroes). Annotate your diagrams to explain how they were drawn (e.g. "AQAB = (-12 kN/m)(1 m) = -12 kN" and "(dQ/dx)AB = -12 kN/m"). 12 kN/m Tutorial S5: Beam Analysis: Graphical 1 m B 0.5 m Figure 1. 5 kNm 0.5 m D
2. A concrete beam is shown below. A. Determine the magnitude of the resultant force acting on the beam (2 decimal places) B. The distance of resultant force from the left edge (3 decimal places) C. If the loads will be replaced by a single force located at the left edge, what moment must be paired with it (Clockwise positive) to be equivalent to the original loads? (2 decimal places) Ws Wz M W1= 11 kN/m W2= 14 kN/m M= 4.3 kNm L1= 4.1 m L2=1.9 m A. R= kN (2 decimal places) В. х3 m (3 decimal places) С. М3 kNm (2 decimal places)
2. A concrete beam is shown below. A. Determine the magnitude of the resultant force acting on the beam (2 decimal places) B. The distance of resultant force from the left edge (3 decimal places) C.If the loads will be replaced by a single force located at the left edge, what moment must be paired with it (Clockwise positive) to be equivalent to the original loads? (2 decimal places) w, w, M Given W1 = 11 kN/m W2 = 14 kN/m %3D M = 4.3 kNm L1 = 4.1 m L2 =1.9 m
Load Combinations The following table contains the results of several analyses for the reaction at the base of a frame. All forces are in kips. Component Horizontal Vertical Dead 0.66 2.50 Earthquake 3.00 2.58 Live 0.99 3.75 Compute all the relevant load combinations for dead, live, and earthquake. Then answer the following questions. Give all answers in absolute value (no negative signs). 1) What is the the largest compressive force resulting from all the load combinations? 2) What is the largest tensile (uplift) force resulting from all the load combinations? 3) What is the worst shear (horizontal) force resulting from all the load combinations?
Subject: STRENGTH OF MATERIALS (Civil Engineering) Round off to two decimal places
Need help
The load diagram and the cross-section of a beam is shown below. GKN H kN/m 2.0 m 0.50 m 0.5 m 0.5 m X J mm K mm J mm K mm Determine the following: Flexural / Bending Stress at the top of the flange G = 13 H = 9 I = 6 J = 182 K = 87 1.50 m I kN/m B
i will upvote who can answer this question 5