Mech320 Hw5 Solution Ch5

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© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

5–6. Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 2 kN and P2 = 1.5 kN.

A

B

30⬚

30⬚ C

E

D 3m

3m P1

285

P2

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

•5–9. Remove the 500-lb force and then determine the greatest force P that can be applied to the truss so that none of the members are subjected to a force exceeding either 800 lb in tension or 600 lb in compression.

500 lb 3 ft

3 ft F

3 ft E

D 3 ft

A B P

288

C

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

*5–16. Determine the force in each member of the truss, and state if the members are in tension or compression. Set P = 4 kN.

3m

3m

3m F

E 3m

B

A P

295

C

D P

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

*5–20. Determine the force in each member of the truss in terms of the load P, and indicate whether the members are in tension or compression.

B

P

d C

A D

F

d

E d

299

d/2

d/2

d

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

•5–21. If the maximum force that any member can support is 4 kN in tension and 3 kN in compression, determine the maximum force P that can be applied at joint B. Take d = 1 m.

B

P

d C

A D

F

d

E d

300

d/2

d/2

d

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

5–23. The internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine the force in members BC, BH, and HC, and state if the members are in tension or compression.

J

I

H

G

F 2 ft

A

B 2 ft

C 2 ft

D 2 ft 60 lb

80 lb

302

80 lb

E

1.5 ft 40 lb

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

•5–25. The Howe bridge truss is subjected to the loading shown. Determine the force in members HI, HB, and BC, and state if the members are in tension or compression.

40 kN

30 kN J

20 kN

20 kN

I

H

G

F 4m

A

E B

304

C 16 m, 4@4m

D

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

5–26. Determine the force in members JK, CJ, and CD of the truss, and state if the members are in tension or compression.

J

K 3m

I H

L

G

A B 2m

2m

4 kN

305

C 2m

5 kN

D 2m

F

E 2m

8 kN

2m

6 kN

© 2011 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

5–39. Determine the force in members CD and GF of the truss and state if the members are in tension or compression. Also indicate all zero-force members.

C 2 kN 0.8 m

D

B

A H 1m

E

F 1m

1.5 kN 2m

315

G

2m

1.5 m