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Solved Problems in Shear and Moment Diagrams (403-404)INSTRUCTION
Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
at all change of loading positions and at points of zero shear. Neglect the mass of the beam in eachproblem.
Problem 403
Beam loaded as shown in Fig. P-403.
Solution 403
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Problem 404
Beam loaded as shown in Fig. P-404.
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Solution 404
INSTRUCTION
Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each
problem.
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Problem 405
Beam loaded as shown in Fig. P-405.
Solution 405
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Problem 406
Beam loaded as shown in Fig. P-406.
Solution 406
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Problem 407
Beam loaded as shown in Fig. P-407.
Solution 407
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Problem 408
Beam loaded as shown in Fig. P-408.
Solution 408
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Solved Problems in Shear and Moment Diagrams (409-412)INSTRUCTION
Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each
problem.
Problem 409
Cantilever beam loaded as shown in Fig. P-409.
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Solution 409
Problem 410
Cantilever beam carrying the uniformly varying load shown in Fig. P-410.
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Solution 410
Problem 411
Cantilever beam carrying a distributed load with intensity varying from wo at the free end to zero at the
wall, as shown in Fig. P-411.
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Solution 411
Problem 412
Beam loaded as shown in Fig. P-412.
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Solution 412
Solved Problems in Shear and Moment Diagrams (413-416)INSTRUCTION
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Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each
problem.
Problem 413Beam loaded as shown in Fig. P-413.
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Solution 413
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Problem 414
Cantilever beam carrying the load shown in Fig. P-414.
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Solution 414
Problem 415
Cantilever beam loaded as shown in Fig. P-415.
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Solution 415
Problem 416
Beam carrying uniformly varying load shown in Fig. P-416.
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Solution 416
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Solved Problems in Shear and Moment Diagrams (417-420)INSTRUCTION
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Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each
problem.
Problem 417Beam carrying the triangular loading shown in Fig. P- 417.
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Solution 417
Problem 418
Cantilever beam loaded as shown in Fig. P-418.
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Solution 418
Problem 419
Beam loaded as shown in Fig. P-419.
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Solution 419
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Problem 420
A total distributed load of 30 kips supported by a uniformly distributed reaction as shown in Fig. P-420.
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Solution 420
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Solved Problems in Shear and Moment Diagrams (421-422)INSTRUCTION
Write shear and moment equations for the beams in the following problems. In each problem, let x be the
distance measured from left end of the beam. Also, draw shear and moment diagrams, specifying values
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at all change of loading positions and at points of zero shear. Neglect the mass of the beam in each
problem.
Problem 421
Write the shear and moment equations as functions of the angle for the built-in arch shown in Fig. P-
421.
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Solution 421
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Problem 422
Write the shear and moment equations for the semicircular arch as shown in Fig. P-422 if (a) the load P is
vertical as shown, and (b) the load is applied horizontally to the left at the top of the arch.
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Solution 422
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