1. A simply supported beam subjected to central point load W. Determine
maximum slope and deflection.
2. A simply supported beam with point load W at a distance ‘a’ from support A.
Determine slope at supports, deflection under load and also find maximum
deflection.
3. A simply supported beam with a span of 4.5 m carries a point load 30 kN at 3
meters from the left support. If for the section Ixx = 5x10-6 m4 and E=200 GPa,
find
a. the deflection under the load
b. the position and amount of maximum deflection.
4. A beam of length 6m is simply supported at it’s ends and carries two point
loads of 48 kN and 40 kN at a distance of 1m and 3m respectively from the left
support find: A) Deflection under each load
B) Maximum deflection
C) The point at which maximum deflection occurs.
(Take E=2x 105 N/mm2 and I= 85x 106mm4)
5. A beam is 10 m long and is simply supported at the ends. It carries
concentrated loads of 100 kN and 60 kN at distances of 2m and 5m
respectively from the left end. Calculate the deflection under each load. Take
I=18 x 108 mm4 and E=200 kN/mm2.
6. A simply supported beam subjected to uniformly distributed load ‘w’ over its
entire span. Determine its slope and deflection in the beam.
7. A simply supported beam of span 9m coupling two point load 210 kN and
125 kN at 2m and 6m from left support the self weight of beam is 26 kN/m
determine slope at 4m, deflection at centre and maximum deflection. Take EI
as constant.
8. A SSB ‘AB’ of span 4 meters is loaded as shown in fig. determine:
A) Deflection at C
B) Maximum deflection
C) Slope at A, use E=200 x 106 kPa, I = 20 x 10-6 m4.
9. Determine slope at C and deflection at C and D for the beam shown in fig.
take EI = 4 x 104 kNm2.
10. Determine the slope at A and deflection at D for the given beam.
11. Simply supported beam subjected a clockwise couple M at a distance ‘a’
from left support. Determine the slope at supports and deflection under
couple.
12. A horizontal beam of uniform section is hinged at the ends as shown in fig.
The left end is loaded with clockwise moment M and right hand end with an
anticlockwise moment 4M in the plane of beam. Determine the slopes and
deflection at the middle point of the beam.
13. Determine slope and deflection at point B and maximum deflection for the
beam as shown below,
Take E=200 kN/mm2, I =20x10-5m4 .
14. Cantilever of span L carries point load W at free end. Determine maximum
slope and deflection.
15. Cantilever of span L subjected to UDL over its entire span. Determine slope
and deflection at free end.
16. Cantilever subjected to a point load W at distance ‘a’ from fixed end.
Determine
slope
and
deflection
at
free
end.
17. Cantilever of length L carries UDL W at distance ‘a’ from fixed end .
Determine
the
slope
and
deflection
at
free
end.
18. Cantilever as shown in fig is loaded by 500 N free end. Determine the value
of W so that deflection at free end is 10mm. Take E =15 GN/m2 , I=10x106 mm4.
19. Derive expression for slope and deflection at free end of cantilever beam of
length L carrying UVL as shown in fig.
20. For the beam loaded and supported as shown in fig, find slope and
deflection at D in terms of ‘EI’