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329 5–51. The compound beam is pin-supported at C and ...

329 5–51. The compound beam is pin-supported at C and ...

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© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

<strong>5–51.</strong> <strong>The</strong> <strong>compound</strong> <strong>beam</strong> <strong>is</strong> <strong>pin</strong>-<strong>supported</strong> <strong>at</strong> C <strong>and</strong><br />

<strong>supported</strong> by rollers <strong>at</strong> A <strong>and</strong> B. <strong>The</strong>re <strong>is</strong> a hinge (<strong>pin</strong>) <strong>at</strong> D.<br />

8 kip<br />

12 kip<br />

Determine the components of reaction <strong>at</strong> the supports.<br />

Neglect the thickness of the <strong>beam</strong>. A D<br />

15 kip ft<br />

B<br />

5 4<br />

3<br />

C<br />

<strong>329</strong><br />

30<br />

4 kip<br />

6 ft<br />

4 ft 2 ft<br />

8 ft<br />

8 ft<br />

8 ft


© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

•5–57. If the 300-kg drum has a center of mass <strong>at</strong> point G,<br />

determine the horizontal <strong>and</strong> vertical components of force<br />

acting <strong>at</strong> <strong>pin</strong> A <strong>and</strong> the reactions on the smooth pads C<br />

<strong>and</strong> D. <strong>The</strong> grip <strong>at</strong> B on member DAB res<strong>is</strong>ts both<br />

horizontal <strong>and</strong> vertical components of force <strong>at</strong> the rim of<br />

the drum.<br />

335<br />

60 mm<br />

60 mm<br />

390 mm<br />

100 mm<br />

P<br />

600 mm<br />

E<br />

A 30<br />

B<br />

C<br />

D<br />

G


© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

•5–61. <strong>The</strong> pl<strong>at</strong>form scale cons<strong>is</strong>ts of a combin<strong>at</strong>ion of<br />

third <strong>and</strong> first class levers so th<strong>at</strong> the load on one lever<br />

becomes the effort th<strong>at</strong> moves the next lever. Through th<strong>is</strong><br />

arrangement, a small weight can balance a massive object. If<br />

x = 450 mm <strong>and</strong>, the mass of the counterweight S <strong>is</strong> 2 kg,<br />

determine the mass of the load L required to maintain the<br />

balance.]<br />

339<br />

100 mm 150 mm<br />

250 mm<br />

C D<br />

150 mm<br />

A<br />

E F<br />

L<br />

H<br />

350 mm<br />

G<br />

B<br />

x<br />

S


© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

5–67. <strong>The</strong> wall crane supports a load of 700 lb. Determine<br />

the horizontal <strong>and</strong> vertical components of reaction <strong>at</strong> the <strong>pin</strong>s<br />

A <strong>and</strong> D.Also, wh<strong>at</strong> <strong>is</strong> the force in the cable <strong>at</strong> the winch W?<br />

345<br />

4 ft<br />

D<br />

4 ft<br />

A B<br />

W<br />

60<br />

4 ft<br />

C<br />

E<br />

700 lb


© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

5–70. <strong>The</strong> bucket of the backhoe <strong>and</strong> its contents have a<br />

weight of 1200 lb <strong>and</strong> a center of gravity <strong>at</strong> G. Determine<br />

the forces of the hydraulic cylinder AB <strong>and</strong> in links AC <strong>and</strong><br />

AD in order to hold the load in the position shown. <strong>The</strong><br />

bucket <strong>is</strong> <strong>pin</strong>ned <strong>at</strong> E.<br />

348<br />

45<br />

A D<br />

E<br />

120<br />

C G<br />

0.25 ft<br />

1.5 ft<br />

B<br />

1 ft


© 2011 Pearson Educ<strong>at</strong>ion, Inc., Upper Saddle River, NJ. All rights reserved. Th<strong>is</strong> m<strong>at</strong>erial <strong>is</strong> protected under all copyright laws as they currently<br />

ex<strong>is</strong>t. No portion of th<strong>is</strong> m<strong>at</strong>erial may be reproduced, in any form or by any means, without perm<strong>is</strong>sion in writing from the publ<strong>is</strong>her.<br />

5–74. If a force of F = 350 N <strong>is</strong> applied to the h<strong>and</strong>le of the<br />

toggle clamp, determine the resulting clam<strong>pin</strong>g force <strong>at</strong> A.<br />

352<br />

A<br />

235 mm<br />

30 mm<br />

30 mm<br />

70 mm<br />

C<br />

D<br />

B<br />

30<br />

30<br />

E<br />

F<br />

275 mm

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