Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
For the frame shown, compute and trace the shear and moment diagrams via:
(a) Method of Sections (brutal force method),
(b) Multiple integration (equations) method,
(c) Derivative inductions method.
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- For the beam shown derive the reaction forces, moments, slope and deflection curves using the method of integration. Use E, and I for the modulus of Elasticity and Inertia, respectively. wo Aarrow_forwardSubject: 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 shown, the magnitude of the concentrated load is P = 28 kN, the magnitude of the couple is MB = 230 kN·m, and the beam lengths are a = 5.8 m and b = 17.4 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.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_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_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_forward
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