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Civil Engineer

In: Science

Submitted By tomqsher
Words 1203
Pages 5
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 in Fig. 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

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answer

answer

answer

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Problem 347 Repeat Problem 346 if the cable pulls the boom AB into a position at which it is inclined at 30° above the horizontal. The loads remain vertical.

Solution 347

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Because θ = 60°, T is perpendicular to AB.

answer

answer

answer

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Problem 348 The frame shown in Fig. P-348 is 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

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Weights of members

answer

answer

answer

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Problem 349 The truss shown in Fig. P-349 is supported on roller at A and hinge at B. Solve for the components of the reactions.

Solution 349

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answer

answer

answer

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Problem 350 Compute the total reactions at A and B for the truss shown in Fig. P-350.

Solution 350

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answer

Thus,

up to the left at

from horizontal.

answer

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Problem 351 The beam shown in Fig. P-351 is 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

HideClick here to show or hide the solution From Equilibrium of Concurrent Force System, three coplanar forces in equilibrium are concurrent.

okay

okay okay

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Problem 352 A pulley 4 ft in diameter and supporting a load 200 lb is mounted at B on a horizontal beam as shown in Fig. 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.

Solution 352

HideClick here to show or hide the solution From FBD of pulley

From FBD of beam

answer

Thus,

up to the right at

from horizontal.

answer

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Problem 353 The forces acting on a 1-m length of a dam are shown in Fig. P-353. The upward ground reaction varies uniformly from an intensity of p 1 kN/m to p2 kN/m at B. Determine p1 and p2 and also the horizontal resistance to sliding.

Solution 353

HideClick here to show or hide the solution Horizontal resistance to sliding

answer

Righting moment

Overturning moment

Eccentricity

Foundation pressure (See Analysis of Gravity Dam for more information)

answer

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

Solution 354

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answer

Thus,

up to the right at

from horizontal.

answer

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Problem 355 Determine the reactions at A and B on the Fink truss shown in Fig. 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 in Fig. P-356 is supported by a hinge at A and a strut BC. Determine the reactions at A and B.

Solution 356

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From right triangles ACD and ACB.

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

answer

Thus,

up to the right at

from horizontal.

answer

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Problem 357 The uniform rod in Fig. P-357 weighs 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

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answer

answer

answer

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Problem 358 A bar AE is in equilibrium under the action of the five forces shown in Fig. P-358. Determine P, R, and T.

Solution 358

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answer

answer

answer

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Problem 359 A 4-m bar of negligible weight rests in a horizontal position on the smooth planes shown in Fig. P-359. Compute the distance x at which load T = 10 kN should be placed from point B to keep the bar horizontal.

Solution 359

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From the Force Polygon

From the Free Body Diagram

answer

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Problem 360 Referring to Problem 359, what value of T acting at x = 1 m from B will keep the bar horizontal.

Solution 360

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From the Force Polygon

From the Free Body Diagram

answer

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roblem 361 Referring to Problem 359, if T = 30 kN and x = 1 m, determine the angle θ at which the bar will be inclined to the horizontal when it is in a position of equilibrium.

Solution 361

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From the Force Polygon

From the Free Body Diagram

answer

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