Question 4: Analyze the frame shown in fig (c) and draw the shear and moment diagrams foreach member of the frame using the method of consistent deformation. Assume A and B arepins. El is constant.20 kN-m20 kN-mD.3 m4 mBFig. c

Solution; Ds=1 Lets take 'MB' as redundant.

Answered: Question 4: Analyze the frame shown in…

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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The beam is supported by a pin at B and a roller at D. The applied loads shown in the figure have 180 lb/ft, and M = 2200 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). 0 at point A at the left magnitudes F1 = 630 lb, F2 = 800 lb, w = %3D Also enter the support reactions as an intermediate check on your work. Take x edge of the beam. 2013 Michael Swanbom 1F, BY NC SA F2 M a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value а 5.80 ft 12.2 ft 4.64 ft Support Reactions The reaction at B is lb. The reaction at D is lb. Shear Force and Bending Moment Equations In section AB: V(x)= lb and M(x)=| lb-ft. In section BC: V(x)= lb and M(x)=| lb-ft. In section CD: V(x)= lb and M(x)= lb-ft.
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Question 4(a) The uniform bar shown in Figure 4 weighs 428 N. It is supported by a pin at A and a cable that runs around the pulley, D. It is subjected to a uniformly distributed load of 17.7 N/m and 12.5 Nm clockwise moment at E. Beam is in equilibrium position as shown in the Figure. Take a = 0.41 m and b = 2.5 m. Determine the tension in the cable and the reaction force at A, both in Newtons. w N/m 75° A ▼▼ ▼ ▼ 12.5 Nm B E 1 m 0.5 m m b Figure 4 Question 4(b) Find a truss from your neighborhood where you can take a photo safely. It does not have to be taken from the perfect angle and as long as we can see the complete truss that is good enough. One photo would be ideal but upto 3 photos can be used. Include these photos in your solutions for this question and based on these photos draw this 2D truss (exact dimensions are not required) with the supports too. Comment on the possible loads and their locations that may be applied to the truss. Discuss the assumptions that you have to…

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Question 4: Analyze the frame shown in fig (c) and draw the shear and moment diagrams for each member of the frame using the method of consistent deformation. Assume A and B are pins. El is constant. 20 kN-m, 20 kN-m D 3 m 4 m B Fig. c