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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 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.
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.
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
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.
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.
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
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.
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.
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.