Answered: For the beam shown, derive the…

For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the

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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Consider the frame shown in figure. Suppose that P1 = 5.5 k and P2 = 11 k. Each column has the cross-sectional area indicated. Solve the problem using the cantilever method of analysis. Assume that the internal moment, shear, and normal force in the vertical beam are positive if they act as shown. a) Determine (approximately) the normal force at A. NA = _____ k Submitted Answers ANSWER 1: Deduction: -3% NA = 4.973 k ANSWER 2: Deduction: -3% NA = 3.8254 k ANSWER 3: Deduction: -3% NA = 5.933 k
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For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression. (b) Integrate w(x) twice to determine V(x) and M(x). (c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams. Let a = 5.0 m, b = 1.7 m, wA = 16 kN/m, and wB = 46 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. 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.