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Brij Bhooshan Rana For more information log on www.brijrbedu.org Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India) Copyright by Brij Bhooshan @ 2013 Page 1 Problems on Beams (SEM. I) EXAMINATION. 2005-06 (ME) (SEM. II) EXAMINATION. 2005-06 (ME) 3- Define a beam and classify different types of beams on the basis of support conditions and loadings. What do you understand by 'Shear force' and 'Bending-moment' and what is their importance in beam design? What do you understand by statically determinate beams? (SEM. II) EXAMINATION. 2006-07 (ME) (SEM. II) EXAMINATION. 2006-07 (SEM. II) EXAMINATION, 2006-07 (AG ) 8- A simply supported beam of span 10 m is carrying a point load of 100 N at a distance 4 m from one end. Determine the beam reactions. 9- Explain the term 'support reactions'. What are the different types of support? (SEM. II) EXAMINATION. 2007-08 (ME) 7- Draw the bending moment diagram of the cantilever beam shown in the figure. 5- Derive the relationship between shear force, bending moment and the loading for a beam. What are the assumptions required for this derivation? 6- Draw the SF and B.M Diagram for the beam shown in fig.3 4- Explain, how shearing force and Bending moment diagrams are drawn for a beam. Also, draw the Shear Force and Bending Moment diagrams for the cantilever beam shown in figure: 1- A simply supported beam subjected to various loadings as shown in fig. sketch the shear force and bending moment diagrams showing their values at significant location. 2- Define a beam. What are the different types of beam and different type of loading? What do you understand by the term ‘point if contraflexure’?

Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

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Page 1: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 1

Problems on Beams

(SEM. I) EXAMINATION. 2005-06 (ME)

(SEM. II) EXAMINATION. 2005-06 (ME)

3- Define a beam and classify different types of beams on the basis of support conditions and

loadings. What do you understand by 'Shear force' and 'Bending-moment' and what is their

importance in beam design? What do you understand by statically determinate beams?

(SEM. II) EXAMINATION. 2006-07 (ME)

(SEM. II) EXAMINATION. 2006-07

(SEM. II) EXAMINATION, 2006-07 (AG )

8- A simply supported beam of span 10 m is carrying a point load of 100 N at a distance 4 m

from one end. Determine the beam reactions.

9- Explain the term 'support reactions'. What are the different types of support?

(SEM. II) EXAMINATION. 2007-08 (ME)

7- Draw the bending moment diagram of

the cantilever beam shown in the figure.

5- Derive the relationship between shear force,

bending moment and the loading for a beam. What

are the assumptions required for this derivation?

6- Draw the SF and B.M Diagram for the beam

shown in fig.3

4- Explain, how shearing force and Bending

moment diagrams are drawn for a beam. Also,

draw the Shear Force and Bending Moment

diagrams for the cantilever beam shown in

figure:

1- A simply supported beam subjected to various

loadings as shown in fig. sketch the shear force

and bending moment diagrams showing their

values at significant location.

2- Define a beam. What are the different types of

beam and different type of loading? What do you

understand by the term ‘point if contraflexure’?

Page 2: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 2

(SEM. I) EXAMINATION. 2008-09

12- Find the shear force and moment equation for the cantilever beam shown in figure. Also

sketch the shear force and bending moment diagram

13- Determine the reactions at A and B.

14- Draw the shear force and bending moment diagram for the beam shown in figure

ODD SEMESTER THEORY EXAMINATION (ME) 2009-10

(SEM. II) EXAMINATION. 2009-10 (ME)

16- Give the she force and bending

moment equation carrying the

uniformly varying load and

concentrated loads shown in

figure. Also draw the shear

force and bending moment

diagrams.

15- Find the shear force and moment

equation for the cantilever beam

carrying the uniformly distributed

load and concentrated load shown in

figure. Also sketch the shear force

and bending moment diagram

10- Define a beam. Explain how shear

force and bending moments are

developed at different sections of the

beam.

11- Draw the shear force and bending

moment diagrams for the beam

shown in figure 2.

Page 3: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 3

17- Find the shear force and moment equation for the cantilever figure. Also sketch the shear

force and bending moment diagram.

18- Give the shear force and bending moment equation for the beam. Also draw shear force

and bending moment diagrams.

(SEM II) EVEN SEMESTER THEORY EXAMINATION, 2009-2010

ODD SEMESTER THEORY EXAMINATION 2009-10

21- Calculate the values of shear force

and bending moments for the

cantilever beam shown in Fig. 2.

Also draw the shear force and

bending moment diagrams.

20- Draw the shear force and

bending moment diagram for

the beam loaded as shown in

Figure

19- Calculate the values of shear force

and bending moments for the

simply supported beam shown in

Figure 2. Also draw the shear

force and bending moment

diagrams.

Page 4: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 4

(SEM. I) EXAMINATION. 2010-11 (ME)

22- find the shear force and moment equation for the cantilever beam shown in figure. also

sketch the shear force and bending moment diagram.

23- Give the shear force and bending moment equation for the beam shown in figure. Also

draw the shear and bending moment diagrams.

(SEM. II) EXAMINATION. 2010-11 (ME)

24- Find the shear force and moment equation for "the beam shown in figure. Also sketch the

shear force and bending moment diagram.

25- Give the shear force and bending moment equation for the beam carrying the uniformly

distributed load and concentrated load shown in figure. Also draw the shear force and

bending moment diagrams.

(SEM. I) ODD SEMESTER THEORY EXAMINATION 2010-11

23- A beam is loaded as

shown in Fig. 6. Draw

its shear force and

bending moment

diagram.

22- Fig. 4 shows a

system of levers

supporting a load of

500 N. Determine

the reactions at the

supports A and B

Page 5: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 5

27- A system of forces acting on a cantilever beam is shown in figure. Reduce this system to

a single force system and find the point of application of this force on the beam.

28- For the beam shown in figure, draw the shear force and bending moment diagrams.

(SECOND SEMESTER) THEORY EXAMINATION, 2010-11

(SEM. II) THEORY EXAMINATION 2010-11

31- Find the shear force and moment

equation for the simply

supported beam shown in figure.

Also sketch the shear force and

bending moment diagram.

30- Draw the shear force and

bending moment diagrams

for the simple supported

beam as shown in Fig. 7.

29- Calculate the values of

shear force and bending

moments for the cantilever

beam shown in Fig. 2. Also

draw the shear force and

bending moment diagrams.

26- For the simply supported beam as

shown in figure, draw shear force

and bending moment diagrams

after finding the equations for shear

force and bending moment.

Page 6: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 6

(SEMESTER-I) THEORY EXAMINATION, 2011-12

33- What you mean by the point of contraflexure? Is the point of contraflexure and

point of inflexion different?

(SEM. II) THEORY EXAMINATION 2011-12

(SEMESTER-II) THEORY EXAMINATION, 2011-12

37- What is the relationship between load,

shear force and bending moment ?

38- Derive shear force and bending

moment equations ana draw the SFD

and BMD for the beam shown in Fig.

2. Find out the position and magnitude

of maximum bending moment.

39- Draw SFD and BMD for the following

loaded beam (fig.) and also locate

point of contraflexure.

34- What do you mean by sagging and hoggin

moments? What kinds of curvatures are

produced by them?

35- Calculate the values of shear force and

bending moments for the cantilever beam

shown in Fig. 2. Also draw the shear force

and bending moment diagrams.

36- Draw the shear force and bending moment

diagrams for the simple supported beam as

shown Fig. 6.

32- Draw the shear force and

bending moment diagram for

the simply supported beam

shown in figure.

Page 7: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 7

SPL. CARRY OVER EXAMINATION, 2011-12

43- Derive the differential relations for equilibrium ie, relations among BM, SF and rate of

loading.

44- Write the shear-force and bending-moment equations for the beam shown in Fig.2 and

then draw SF and BM diagrams. 1000 N

45- Draw the shear force and bending moment diagrams for the simply supported beam

loaded as shown in Fig.6. Also find the position and magnitude of the greatest bending

moment.

(SECOND SEMESTER) CARRY OVER THEORY EXAMINATION 2011-12

46- Define point of contraflexure.

47- Draw the shear force and bending moment diagram for the simply supported beam shown

in figure

48- Draw bending moment diagram for the following simply supported beam:

41- Draw SFD and BMD for the

following loaded beam also find

the point of contraflexure as

shown in Fig. 7.

42- What is the relationship between

load, shear force and bending

moment? Define point of

Contraflextire. In what types of

beam this point occurs?

40- Draw Shear Force Diagram

(SFD) and Bending Moment

Diagram (BMD) for the beam

shown in Fig. 2. Also locate the

point of contraflexure

Page 8: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 8

49- Derive an expression between loading, shear force and bending moment for a beam

subjected to distributed load.

(SEM. I) ODD SEMESTER THEORY EXAMINATION 2012-13

50- Determine the expression for shear force and bending moment for the beam shown in

Fig. 3.

51- Draw the S.F. diagram and B.M. diagram for the beam shown in Fig. 9.

52- Where must a lifting hook be placed in a tapered beam shown in Fig. 12, so that the beam

always stays horizontal when lifted ?

(SEMESTER II) EVEN SEMESTER THEORY EXAMINATION, 2012-13

(SEM. II) EVEN THEORY EXAMINATION 2012-13

54- A log of wood 3 m long and 25 cm X 25 cm in cross section and specific gravity 0.78

floats in water. Determine the load that should be placed centrally on the log so that the

log is just completely immersed in the water. Also draw shear force and bending moment

diagram for the log.

53- A beam AB of span 10 m4 loaded

as shown in Fig. 2. Determine the

reactions at A and B.

Page 9: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 9

(SEM. II) EXAMINATION. 2013-14

57- Find the reaction at supports of the beam as shown in Figure-2

(SEM. I / I I ) SPECIAL CARRY OVER THEORY EXAMINATION, 2013-14

58- List three types of supports.

59- Determine the reaction at supports A and B of beam loaded shown in Fig 3.

60- Determine the reaction at A and B developed in simple supported beam as shown in Fig

10 (by using principle of virtual work).

(SEM. I) (ODD SEM.) THEORY EXAMINATION, 2014-15

61- Determine the reactions at A for the cantilever beam subjected to the distributed and

concentrated loads. (Fig 7)

55- What are the implications of sudden changes of (a)

shear force and (b) bending moment for a simply

supported beam?

56- Find the reaction at supports of the beam as shown in

diagram.

Page 10: Brij Bhooshan Ranabrijrbedu.org/Brij Data/Mechanics/Problems on Beams.pdfuniformly varying load and concentrated loads shown in figure. Also draw the shear force and bending moment

Brij Bhooshan Rana

For more information log on www.brijrbedu.org

Brij Bhooshan Asst. Professor B.S.A College of Engg. & Technology, Mathura (India)

Copyright by Brij Bhooshan @ 2013 Page 10

62- Draw the shear and moment diagrams for the beam loaded as shown in Fig 8

(SEM. I) (COP) (ODD SEM.) THEORY EXAMINATION, 2014-15

63- Draw SFD and BMD for the overhanging beam as shown in figure-8.