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Problem 346

A boom AB is supported in a horizontal position by a hinge A and a cable which runs from C over a

small pulley at D as shown inFig. P-346. Compute the tension T in the cable and the horizontal and

vertical components of the reaction at A. Neglect the size of the pulley at D.

Solution 346

answer

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answer

answer

Problem 347

RepeatProblem 346if the cable pulls the boom AB into a position at which it is inclined at 30 above

the horizontal. The loads remain vertical.

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Solution 347

Because = 60, T is perpendicular to AB.

answer

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answer

answer

Problem 348

The frame shown inFig. P-348is supported in pivots at A and B. Each member weighs 5 kN/m.

Compute the horizontal reaction at A and the horizontal and vertical components of the reaction at B.

Solution 348

Length of DF

Weights of members

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answer

answer

answer

Problem 349

The truss shown inFig. P-349is supported on roller at A and hinge at B. Solve for the components

of the reactions.

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Solution 349

answer

answer

answer

Problem 350

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Compute the total reactions at A and B for the truss shown inFig. P-350.

Solution 350

answer

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Thus, up to the left at from horizontal. answer

Problem 351

The beam shown inFig. P-351is supported by a hinge at A and a roller on a 1 to 2 slope at B.

Determine the resultant reactions at A and B.

Solution 351

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Thus, up to the right at from horizontal. answer

Another Solution

FromEquilibrium of Concurrent Force System, three coplanar forces in equilibrium are concurrent.

okay

okay

okay

Problem 352

A pulley 4 ft in diameter and supporting a load 200 lb is mounted at B on a horizontal beam as

shown inFig. P-352. The beam is supported by a hinge at A and rollers at C. Neglecting the weight

of the beam, determine the reactions at A and C.

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Solution 352

From FBD of pulley

From FBD of beam

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answer

Thus, up to the right at from horizontal. answer

Problem 353

The forces acting on a 1-m length of a dam are shown inFig. P-353. The upward ground reaction

varies uniformly from an intensity of p1 kN/m to p2 kN/m at B. Determine p1 and p2 and also the

horizontal resistance to sliding.

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Solution 353

Horizontal resistance to sliding

answer

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Righting moment

Overturning moment

Eccentricity

Foundation pressure (SeeDams at CE Reviewfor more information)

answer

answer

Related post:Resultant of forces in gravity dam

Problem 354

Compute the total reactions at A and B on the truss shown in Fig. P-354.

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Solution 354

answer

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Thus, up to the right at from horizontal. answer

Problem 355

Determine the reactions at A and B on the Fink truss shown inFig. P-355. Members CD and FG are

respectively perpendicular to AE and BE at their midpoints.

Solution 355

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answer

answer

answer

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Problem 356

The cantilever truss shown inFig. P-356is supported by a hinge at A and a strut BC. Determine the

reactions at A and B.

Solution 356

From right triangles ACD and ACB.

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Notice also that triangle ABD is an equilateral triangle of sides 6 m.

answer

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Thus, up to the right at from horizontal. answer

Problem 357

The uniform rod inFig. P-357weighs 420 lb and has its center of gravity at G. Determine the tension

in the cable and the reactions at the smooth surfaces at A and B.

Solution 357

Distance AB

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answer

answer

answer