Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Draw the shear force diagram and bending moment diagram using differential relationship method between loads, shear forces, and bending moments
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- Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a-14.0 ft, b-5.5 ft, c- 8.0 ft, w - 9 kips/ft and M - 260 kip-ft. 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. Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax - 0, it has been omitted from the free-body diagram.) - 0, B Answers: Ay- kips kips Part 2 Determine the shear force acting at each of the following locations: (a) x - 0+ ft (i.e., just to the right of support A) (b) x - 14.0 ft (i,e., at point B) (c) x - 19.5- ft (i.e., just to the left of the support C) (d) x - 19.5+ ft (i.e., just to the right of the support (C) (e) x - 26.5 ft…arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 3.7 ft, b = 11.1 ft, c = 3.6 ft, MA = 5400 lb·ft, P = 2000 lb, and w = 570 lb/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam.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_forwardQuestion 1 The steel framework of an office building is used to support lateral forces as shown in Figure Q1. If all the cross-sectional area are the same, draw (approximately) the bending moment diagram for girders STUVWX and column SMGA of that building by applying the cantilever method. 18 kN 30 kN 30 kN S M C 6 m T N H B ** 6 m U O 8m P Figure Q1: Building Frames 8 m W к 8 m X R T 4 m 4 m 4marrow_forward
- 3. The Howe roof truss shown in the figure camries the given loads. The wind loads are perpendicular to the inclined members. Determine the magnitude of the resultant, its inclination with the horizontal, and where it intersects AB. 1100 N 2000 N 2500 N 1100 N 3.0 30 3.0 3.0 4000 N 2500N 1000 Narrow_forwardAnalyze the given continuous beam below using consistent deformation method. Show complete solution Draw the shear and moment diagrams of the given structure below. 75KN 75KN 28KN/m 21 2m 3m 2m 5marrow_forwardThe beam is to be cut longitudinally along both sides as shown. If it is made from a material having an allowable shear stress of tallow = 75 MPa, determine the maximum allowable shear force V that can be applied before and after the cut is made.arrow_forward
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