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Ans:
MA = 7.21 kN∙m
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Ans:
q = 64.0°
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Ans:
MA = 38.2 kN∙m
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Ans:
qmax = 26.6°, (MA)max = 40.2 kN∙m
qmin = 117°, (MA)min = 0
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←
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qmax

qmin

qmax
(MA)max = 79.8 N∙m
qmin
(MA)min = 0
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180°
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rOB
uOB rOB

rBO

uOB rBO

Or

45.0°

or
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rAC rBC
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rAC rBC
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plot

M = 12.7(103 ) sin 2θ + 22.5(103 ) N∙m

θmax = 90°, θmin = 0°, 180°
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4-58
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0.15
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38.97

38.97
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(MC)R = 5.20 kN∙m

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450 N
675 N
450-N
0.9 m 0.9 m

1.2 m

450 N

450 675 1.2 675 N

1.66 m

1.66 m
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1.2 m 450 N
675 N

0.9 m 0.9 m

1.2 m

450 N

675 N
450 1.2 467.7 N∙m

675 1.2 648 N∙m

648 467.7 180 N∙m

450 0.9 675 3 675 1.2

450 2.1 675 3

180 N∙m

180 N∙m
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1.8 m 450 N
675 N

0.9 m 0.9 m

1.2 m

450 N

675 N
450 1.8 701.5 N∙m

675 1.2 648 N∙m

701.5 648 53.5 N∙m

450 0.9 675 1.2 450 2.7

53.5 N∙m 53.5 N∙m

53.5 N∙m
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M
MC = 75 N∙m
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θ = 26.6°
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5000

5000

1400 4200
4200
1400

5000 3 4200 7

F = 4.43 kN
θ = 71.6°
d = 3.52 m
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5000

5000

1400 2200
2200
1400

5000 3 2200 7

F = 2.61 kN
θ = 57.5°
d = 2.64 m
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x
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4-130.

349
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350
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4-131.

351
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352
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353
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354
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355
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356
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Ans:
FR = 140 kN,
y = 7.14 m,
x = 5.71 m

357
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Ans:
FR = 140 kN,
y = 6.43 m,
x = 7.29 m

358
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359
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360
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361
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362
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363
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364
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900 N 450 N 1.80 kN.

0.45 m

−1800 − 900 − 450

3150 N = 3.15 kN

3150 1800(0.45) 900 0.45 450 0.45

0.134 m = 134 mm

−3150 900 0.45 450 0.45

−0.0352 m = −35.2 mm

3.15 kN
134 mm
−35.2 mm

365
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900 N

0.45 m

900 0.45 0.45

734.85 N = 735 N

734.85 N

0.45 900 0.45 734.85 0.45

1.00 kN

735 N
1.00 kN

366
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367
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368
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369
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370
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50

371
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372
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373
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374
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375
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376
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377
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378
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379
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380
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381
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382
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383
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384
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385
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386
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387
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388
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AQ: Please confirm this figure.

389
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390
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391
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392
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393
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394
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30 1.5 50 0.5

⤹ 70 30 1.5 50 0.5 0.5⁄2

FR = 70.0 N
d = 107 mm (to the right)

395
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396
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397
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1/2

MN

1/2

1/2

w = (40z1/2)(103)(5)
1/2 = (200z1/2 )(103)

1/2

MN

398
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399