Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Solve for the following using both double integration method and area moment method.
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- Determine the following unknowns on the beam shown below using DOUBLE INTEGRATION METHOD. Consider 150mm x 150mm section and E = 200 GPa. Show complete and organized solution. Solve the following: - Deflection at point B - Deflection at point E - Slope of the elastic curve at point D in degrees.arrow_forwardProblem 5: The beam is loaded as shown. Determine the slope and deflection at the free end. Assume constant EI. Use P = 1 (lb) and w=19 (lb/ft). Express your answers in terms of EI with appropriate units. Use the following methods: a. Moment area method b. Conjugate beam method W 6 ft 4 ft 3 ft R1 R2arrow_forwardUse virtual work method. Find vertical displacement of joint B in mm due to external force onlyarrow_forward
- For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.250 m, b=6.50 m, PA = 60kN, and PC = 70kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.arrow_forwardSHOW COMPLETE AND CLEAN SOLUTION and DRAW ILLUSTRATIONarrow_forwardDetermine the following unknowns on the beam shown using Double Integration Method. Consider 150 mm x 150 mm section and E = 200 GPa. A. Deflection at point B in mm. B. Deflection at point E in mm. C. Slope of the elastic curve at point D in degrees.arrow_forward
- Using double integration method, solve the following for the overhanging beam shown. Use I = 60 in.* and E = 1.5 x 10 psi. 1000 lb 400 Ib/ft B D. - 6 ft 4 ft 3 ft 1. Derive the equation of the elastic curve Segment AB Slope Equation Deflection Equation Segment BC Slope Equation Deflection Equation Segment CD Slope Equation Deflection Equation 2. Compute the value of & at the right end. Maximum Deflection Location Magnitude 3. Compute the value of & at the right end. Deflection at the Right End Magnitude 4. Calculate the value of & midway between the supports. Deflection Midway Between Supports Magnitude 5. Draw the Elastic Curve 1000 lb 400 lb/ft E6 ft- + 4 ft 3 ftarrow_forwardPlease include your complete solutions. Also include shear and moment diagrams. Thank you!arrow_forwardAnswer the following and write on a clean paper written then box your final answer.arrow_forward
- Please help me with solution to Item 4 (Sub question No- 4) For the beam below: Draw the approximate deflected shape from the bending moment diagram. 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 If w = 2 k/ft and L = 5 ft, locate the point of maximum deflection between supports A and B. 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 =…arrow_forwardStructural mechanics ( analysis)arrow_forwardPlease solve fully with diagrams as needed and for all parts of the question. Question: a) What is deflected shape of the beam? b) Find dispacement of beam at point B using moment-area method. c) Find displacement of beam at point B using Castiglianos theorem. Assume EI is constant for allarrow_forward
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