Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Determine the displacement and slope at point C of the cantilever beam. The moment of inertia of each segment is indicated in the figure. Take E = 29(103) ksi. Use the principle of virtual work. Solve Prob. 9–28 using Castigliano’s theorem.
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- 3. do not solve a, b and c with the givens from d.arrow_forwardDetermine the vertical displacement of point A. Assume the members are pin connected at their ends. Take A = 100 mm2 and E = 200 GPa for each member. Use the castigliano's method.arrow_forwardA 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).arrow_forward
- Compute the vertical and horizontal component of the deflection at C of the frame in the following figure using the method of virtual force. The direction of uniformly distributed loading is "→". Take E=200GPa, I=240(106)mm4.arrow_forwardFor 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.arrow_forward6) Determine the vertical displacement of joint A. AE is constant. Take A= 2 in and E=29 (10') for each member. Use the principle of virtual work. D 8 ft B 8 ft 1000 lb 8 ft 500 lbarrow_forward
- Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-section area of 600 mm2. Take E = 200 GPa. Use the method of virtual work.arrow_forwardDerive the condition (inequality) in hλ that indicates the Region of Absolute Stability for the Trapezoidal Method. You can try to draw this region, but I am only asking for the condition.arrow_forwardDetermine the horizontal displacement of joint A of the truss. Each member has a cross-sectional area of A=300mm2, E=200GPa. Use Catigliano's theorem.arrow_forward
- Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-section area of 600 mm2. Take E = 200 GPa. Use the method of virtual work.arrow_forward(1) Determine the equations of the elastic curve for the beam using the x and x2 coordinates. Then, find the deflection under the load P. EI is constant. Larrow_forwardPlease send right answer with calculations and diagrams.arrow_forward
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