Last Date of Submission: 28th August 2014 Home Assignment ā 3 (Module ā 2)
equations for the shearing force and bending moment at any point in the beam and plot the shear and moment diagrams.
Compound Stress and Strains (SFD and BMD) 1.
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Consider a simply supported beam 4 m long and subjected to a uniformly distributed vertical load of 1600 N/m, as shown in Figure. Draw shearing force and bending moment diagrams.
Fig: Problem 1 The simply supported beam shown in figure carries a vertical load that increases uniformly from zero at the left end to a maximum value of 8000 N/m at the right end. Draw the shearing force and bending moment diagrams.
Fig: Problem 2 The cantilever beam AC in figure is loaded by the uniform load of 600 N/m over the length BC together with the couple of magnitude 4800 Nā m at the tip C. Determine the shearing force and bending moment diagrams.
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Fig: Problem 3 The beam AC is simply supported at A and C and subject to the uniformly distributed load of 300 N/m plus the couple of magnitude 2700 N.m as shown in figure. Write equations for shearing force and bending moment and make sketches of these equations.
Fig: Problem 5 In figure a simply supported beam is loaded by the couple of 3 kN.m. Using singularity functions, write equations for the shearing force and bending moment at any point in the beam and plot the shear and moment diagrams.
Fig: Problem 6 The overhanging beam AE is subject to uniform normal loadings in the regions AB and DE, together with a couple acting at the midpoint C as shown in figure. Using singularity functions, write equations for the shearing force and bending moment at any point in the beam and plot the shear and moment diagram.
Fig: Problem 7 The simply supported beam AD is subject to a uniform load over the segment BC together with a concentrated force applied at C as shown in figure. Using singularity functions, write equations for the shearing force and bending moment at any point in the beam and plot shear and moment diagrams.
Fig: Problem 8 9.
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Fig: Problem 4 Consider a cantilever beam loaded by a concentrated force at the free end together with a uniform load distributed over the right half of the beam. Using singularity functions, write
Determine the maximum shearing force and bending moment in the simply supported beam shown in figure. Ans. 15 383 N, 8897 N ā m
Fig: Problem 9 For the beams of Problems 10 through 15 simply supported at the ends and loaded as shown, write equations for the shearing force and bending moment at any point along the length of the beam. Also, draw the shearing force and bending moment diagrams.
For Problems 16 through 19 use singularity functions to write the equations for shearing force and bending moment at any point in the beam. Plot the corresponding diagrams.
Fig: Problem 16
Fig: Problem 10
Fig: Problem 17 Fig: Problem 11
Fig: Problem 18 Fig: Problem 12
Fig: Problem 19 Fig: Problem 13
Fig: Problem 14
AMITY UNIVERSITY UTTAR PRADESH MAE-202: MECHANICS of SOLIDS ODD SEM 2014-15
