Answered: The beam is loaded as shown. Find a)…

The beam is loaded as shown. Find a) deflection at B, b) slope of the segment AB connected to the pin. EI = 20 000 kN-m^2 . Use Moment Area Theorem method.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the slope and deflection at point B of the beam shown by doubu and anca moment method 10…

Q: For the cantilever beam shown: B (2-a) Derive the expression for its maximum slope. (2-b) Derive the…

Q: What does the engineer use in a design situation?

Q: 6 kN 6 kN B D. 1,5 m 1,5 m 1,5 m

A: Find the reaction of the beam:

Q: Determine the deflection at point D by using conjugate beam method A is a pinned and C is a roller…

Q: Take A = 3 in? and E = 29(103) ksi for each member. Assume the members are pin connected at their…

Q: Determine the reactions at rigid supports A and B. A B →10 kN 1 m 2 m

A: Following is the given rod between two rigid supports:

Q: a) Draw the approximate deflected shape from the bending moment diagram. b) Develop the piecewise…

A: Consider the given beam. Consider the equilibrium of forces in the vertical direction. Consider…

Q: Using superposition method, Determine: a. the equation of the elastic curve, b. the slope at…

Q: 3. Using the method double integration, determine the maximum deflection of the beam shown in Figure…

Q: R B A .......... R

Q: Determine the slope at B and the maximum displacement of the beam. Use the moment-area theorems.…

Q: Solve the following using moment-area method. Draw the moment diagrams by part

Q: SOLVE THIS USING CBM. THANK YOU. The trapezoidal loading is carried by the simply supported beam AB.…

Q: 2. Determine the internal moments at the supports of the beam shown. The support at B is displaced…

A: Given: A continuous beam with 0.22 ft settlement at B and 0.12 ft settlement at C. Required:…

Q: Using (DIM) Double Integration Method Use E = 200 Gpa & I = 500 x 106 mm4 A. Vertical reaction at…

Q: Q2: Cantilever beam shown in Figure fixed supported at point A. Determine the deflection at point C.…

A: Force in the vertical direction - RA = P Fixed end moment at the point A MA = 4P

Q: Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A…

A: Given Data:P1=14kNP2=7kNL=2.3mE=200 GpaI=19.6×106mm4To Calculate deflection at B and C by using…

Q: By using Conjugate Beam Method, Determine the deflection 3m to the left of roller support. 30 kN/m -…

A: Given: Required: Deflection at 3 m left of B

Q: Using any of the three Geometric Methods, answer the following beam. Indicate the negative sign (-)…

A: Let's use double integration method ( type of geometric method) to solve this problem

Q: 2-c) Determine deflection at A and C; slope at B and D. What is the maximum deflection of the beam?…

A: The given beam is statically determinate beam can be analyzed using the equations of equilibrium.…

Q: AK N zm zm

Q: ) Using these results (δ1=0.1097 in. , δ2=0.1265 in. , δ3=0.0548 in.) determine the deflections of…

Q: use the method of virtual work and determine the vertical deflection at the rocker support D. EI is…

A: Given, EI constant to find vertical deflection at D, using the virtual work principle. The virtual…

Q: 1.) For the given simply supported beam AB, determine the following: a. The Shear and Moment Diagram…

A: Draw moment area method

Q: For the beam loaded as shown, determine the value of P for which the deflection under P will be…

Q: A cantilever beam of length L = 60 in is made from two side-by-side structural- lbf/ft. The beam…

Q: A simply supported beam is loaded as shown in the figure. Determine the slope and deflection at the…

A: calculate reaction RA+RB=5+7=12ktaking moment about BRA×11-5×7-17.5=0RA=4.77kRB=6.22k write moment…

Q: Problem 7: The beam below is subjected the loading as shown. Use the Moment-Area method to determine…

A: An overhanging beam with uniformly distributed load and point load.A is roller support, B is hinged…

Q: 2. Solve deflection at A. Use E= 200,000 N/mm2 and 150 mm wide x 200 mm high beam 50 KN A I gm B B

Q: What is the vertical deflection at C. The cross-sectional area and moment of inertia of each segment…

Q: 2. Determine the equations of the elastic curve for the beam using the x coordinate. (Please use the…

A: Determine the equations of the elastic curve for the beam using the x coordinate.(a) Specify the…

Q: By Using Unit Load Method, Calculate the total deflection at joint B. Members have the same moment…

A: Given:P = 153 kNRequired:Deflection at B

Q: Use Slope Deflection Method

Q: "| A Answer: VC= W LAB m mm. LBC P X

Q: Determine the deflection at point D

Q: Question#4\\ As shown in figure 3, when the flow rate at pipe (No.4) equals (0.6 m/sec). Calculate…

A: Solution:-Given Data,Flow rate in pipe 4=0.6 m3/secThe diameter of pipes are ,D1=450mm=0.45…

Q: Please use CONJUGATE BEAM METHOD and show a complete and clear solution.

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The beam is loaded as shown. Find a) deflection at B, b) slope of the segment AB connected to the
pin. EI = 20 000 kN-m^2 . Use Moment Area Theorem method.

사
A
12 m
18 kN
12 m
hinge
B
15 m
30 kN m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A cantilever beam AB is loaded as shown in Figure 1. EI is constant for the beam. L = 2.7 m and P = 8.9 kN. Write down your L and P values and answer parts a to c below. (a) Using the moment area method, determine the slope of the beam at B. (b) Using the conjugate beam method, determine vertical deflection at B. (c) Draw the free body diagram (FBD) of the virtual force system for the virtual work method to determine the vertical deflection at the mid-span of the beam. (Note: No calculations are required and show only the FBD).
Determine the slope at B and the deflection at A by the conjugate method for the beam shown below. ?? is constant.
For the beam below, determine the displacement at x = 2L/3 from the fixed support using the deflection tables provided in the FE equation packet. Take EI as a constant. Indicate the direction of the displacement also.
2.) Determine the following: a.) equation of the elastic curve for the simply supported beam using the x coordinate 0 SxS L/2, b.) the slope at A, c.) the maximum deflection of the beam. Draw the SHEAR and MOMENT diagram. El is constant. Use Double Integration Method W. A В
Solve using Double Integration Method.
A 8 kips 60 in B * 60 in C * 120 in → D For the beam given above use the Conjugate Beam Method to determine: a) The vertical deflection at point C (mid-span). b) The slope at C. c) Draw the deflected shape. E=29,000 ksi l=400in4
Using DIM, determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. Specify the slope at A and the maximum deflection. El is constant. L
For Beam AB (EI Constant), use the Unit Load Method to Determine: 1. The Deflection at C 2. The Rotation at Support A. 6 kNim B
a) Draw the approximate deflected shape from the bending moment diagram. b) Develop the piecewise functions of θ(x) and v(x) using double integration. Assume EI is constant. Take x to be references from the farthest left point on the beam similar to the method used in class. c) If w = 2 k/ft and L = 5 ft, locate the point of maximum deflection between supports A and B. d) Develop a variable based excel program that allows you to plot both the slope and displacement functions with x. In other words, your program should be able to take any value of w, L, E, I and x and automatically calculate deflection and slope. Print x-y scatter plots connected by smooth lines for both the deflection and slope using values of x ranging from 0 to 2L in increments of 0.5 ft. Plot the displacement in inches and slope in radians for the following cases using your program: i) w = 2 k/ft, L = 5 ft, E = 4,176,000 ksf, I = 0.073784 ft4 ii) w = 10 k/ft, L = 6 ft, E = 4,176,000 ksf, I = 0.073784 ft4…
Determine the equations for slope and deflection of the beam shown by the direct integration method. EI=constant.
P=80 kips Problem 1 a three-bar truss at point C and at A by an elastomeric pad that is equivalent to a roller. Compute the vertical deflection of point B and the change in length of member DE due to the applied load. Given: E = 29,000 kips/in.?, area of all truss bars = 1 in.?, area of beam = 16 in?, I of beam = 1200 in.*. Use any method Beam ABC is supported by 10 10' B E
Use the method of virtual work and determine the horizontal deflection at C. EI is constant. There is a pin at A. Assume C is a roller and B is a fixed joint. B. Also solve using Castigliano's Theorem note: add 4.39 to all loads