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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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