Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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).
Transcribed Image Text:A
L
P
L-
P
B
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- Subject: Structural Theory 2 Task: Answer this question in different methods such as Double Integration method, area moment method, conjugate beam method, AND virtual work method.arrow_forwardFor the beam below (EI constant) use the SLOPE DEFLECTION METHOD to answer the following questions. a) How many unconstrained degrees of freedom (DOF) are present in this problem? What are they? b) Calculate the fixed end moments? What is the purpose of a fixed end moments? c) Write the end moment equations in terms of the unconstrained DOF(s). Apply equilibrium to solve for the unconstrained DOF(s). Determine the end moments at A, B and C.arrow_forwardPart Carrow_forward
- Consider the truss shown in (Figure 1). Assume the members are pin connected at their end points. TakeA = 130 mm2, and E= 200 GPa for each member. Use the method of virtual work to solve this problem. Determine the horizontal displacement of joint D measured leftward. 8 kN 3 m 3 m 4 m C Barrow_forwardSolve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kNarrow_forwardBeam AC with constant EI has a roller support at point B and slider support at point A as shown in the figure below. Using the conjugate beam method to determine the magnitude of the couple moment M0 in terms of P if the displacement at point C is zero. Hint: the slider support can be considered as a fixed support but can move freely in the vertical direction. Use these properties to find the corresponding conjugate support for this problem.arrow_forward
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