Hibbeler Structural Analysis 8th ED PDF

Preview

Summary

334 CHAPTER 8 DEFLECTIONS FUNDAMENTAL PROBLEMS F8–10. Use the moment-area theorems and determine the F8–16. Use the moment-area theorems and determine the slope at A and deflection at A. EI is constant. slope at A and displacement at C. EI is constant. F8–11. Solve Prob. F8–10 using the conjugate be...

Description

Accelerat ing t he world's research.

Hibbeler Structural Analysis 8th ED Ramesh Adhikari

Related papers

Download a PDF Pack of t he best relat ed papers 

St ruct ural Analysis by R.C.Hibbeler 8t h Edit ion Eslam Fat hy SOLUT ION MANUAL t amara pérez

334

CHAPTER 8

DEFLECTIONS

FUNDAMENTAL PROBLEMS F8–10. Use the moment-area theorems and determine the slope at A and deflection at A. EI is constant.

F8–16. Use the moment-area theorems and determine the slope at A and displacement at C. EI is constant.

F8–11. Solve Prob. F8–10 using the conjugate beam method.

F8–17. Solve Prob. F8–16 using the conjugate beam method.

6 kN

8 kN

A

B

A

B C 3m

3m

3m

F8–16/8–17

F8–10/8–11

F8–12. Use the moment-area theorems and determine the slope at B and deflection at B. EI is constant. F8–13. Solve Prob. F8–12 using the conjugate beam method.

F8–18. Use the moment-area theorems and determine the slope at A and displacement at C. EI is constant. F8–19. Solve Prob. F8–18 using the conjugate beam method. 4 kN

4 kN

2m

2m

8 kNm

A

B

A

C

B

4m

4m

8

4m

F8–18/8–19

F8–12/8–13

F8–14. Use the moment-area theorems and determine the slope at A and displacement at C. EI is constant. F8–15. Solve Prob. F8–14 using the conjugate beam method.

F8–20. Use the moment-area theorems and determine the slope at B and displacement at B. EI is constant. F8–21. Solve Prob. F8–20 using the conjugate beam method. 9 kN

5 kNm

A

B

B A

C 1.5 m

1.5 m

F8–14/8–15

2m

2m

F8–20/8–21

8.5

335

CONJUGATE-BEAM METHOD

PROBLEMS 8–10. Determine the slope at B and the maximum displacement of the beam. Use the moment-area theorems. Take E = 29(103) ksi, I = 500 in4. 8–11.

8–18. Determine the slope and the displacement at C. EI is constant. Use the moment-area theorems. 8–19.

Solve Prob. 8–18 using the conjugate-beam method.

Solve Prob. 8–10 using the conjugate-beam method. 15 k

P

A

C

C

A B

B

6 ft

6 ft

a

a

a

Probs. 8–10/8–11

Probs. 8–18/8–19

*8–12. Determine the slope and displacement at C. EI is constant. Use the moment-area theorems.

*8–20. Determine the slope and the displacement at the end C of the beam. E = 200 GPa, I = 70(106) mm4. Use the moment-area theorems.

8–13.

Solve Prob. 8–12 using the conjugate-beam method.

8–21.

Solve Prob. 8–20 using the conjugate-beam method.

15 k

8 kN 4 kN A

C B

A

30 ft

C

15 ft

B

D 3m

Probs. 8–12/8–13

3m

3m

Probs. 8–20/8–21

8–14. Determine the value of a so that the slope at A is equal to zero. EI is constant. Use the moment-area theorems.

8

*8–16. Determine the value of a so that the displacement at C is equal to zero. EI is constant. Use the moment-area theorems.

8–22. At what distance a should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical reactions on the shaft. EI is constant. Use the moment-area theorems.

8–17.

8–23. Solve Prob. 8–22 using the conjugate-beam method.

8–15.

Solve Prob. 8–14 using the conjugate-beam method.

Solve Prob. 8–16 using the conjugate-beam method.

P

P

P

P

C B

A

D a

L __ 2

L __ 2

Probs. 8–14/8–15/8–16/8–17

A

B

a

a L

Probs. 8–22/8–23

336

CHAPTER 8

DEFLECTIONS

*8–24. Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems. 8–25. Solve method.

Prob. 8–24

using

the

conjugate-beam

*8–28. Determine the force F at the end of the beam C so that the displacement at C is zero. EI is constant. Use the moment-area theorems. F P D

4 kN

4 kN

A

C B a

C A

a

B

3m

1.5 m

a

Prob. 8–28 3m

1.5 m

8–29. Determine the force F at the end of the beam C so that the displacement at C is zero. EI is constant. Use the conjugate-beam method.

Probs. 8–24/8–25

F P

8–26. Determine the displacement at C and the slope at B. EI is constant. Use the moment-area theorems.

D A

C B

P

P 2

A

a

P 2

a

B a

a

Prob. 8–29

C a

a

8–30. Determine the slope at B and the displacement at C. EI is constant. Use the moment-area theorems.

a P

P

Prob. 8–26

8

A

C

B a

8–27. Determine the displacement at C and the slope at B. EI is constant. Use the conjugate-beam method.

a

a

Prob. 8–30 8–31. Determine the slope at B and the displacement at C. EI is constant. Use the conjugate-beam method.

P

P 2

A

P 2

P

B

C a

a

a

a

P

A

C

B a

Prob. 8–27

a

Prob. 8–31

a

8.5 *8–32. Determine the maximum displacement and the slope at A. EI is constant. Use the moment-area theorems.

*8–36. Determine the displacement at C. Assume A is a fixed support, B is a pin, and D is a roller. EI is constant. Use the moment-area theorems. 25 kN

M0 C

A B

L __ 2

337

CONJUGATE-BEAM METHOD

C

L __ 2

3m

3m

Prob. 8–32 8–33. Determine the maximum displacement at B and the slope at A. EI is constant. Use the conjugate-beam method.

D

B

A

3m

Prob. 8–36 8–37. Determine the displacement at C. Assume A is a fixed support, B is a pin, and D is a roller. EI is constant. Use the conjugate-beam method.

M0

25 kN C

A B

L __ 2

C

L __ 2

Prob. 8–33

3m

3m

8–34. Determine the slope and displacement at C. EI is constant. Use the moment-area theorems. P

D

B

A

3m

Prob. 8–37 8–38. Determine the displacement at D and the slope at D. Assume A is a fixed support, B is a pin, and C is a roller. Use the moment-area theorems.

M0  Pa

6k C

A a

8

B

a

B

A 12 ft

Prob. 8–34

D

C 12 ft

12 ft

Prob. 8–38 8–35. Determine the slope and displacement at C. EI is constant. Use the conjugate-beam method.

8–39. Determine the displacement at D and the slope at D. Assume A is a fixed support, B is a pin, and C is a roller. Use the conjugate-beam method.

P

6k

M0  Pa C

A a

B

Prob. 8–35

B

A a

12 ft

D

C 12 ft

Prob. 8–39

12 ft...