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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