Problem:
A beam of length 10 m is simply supported and carries point loads of 5 kN each at a distance of 3m and 7 m from left support and also a uniformly distributed load of 1 kN/m between the point loads. Draw the S.F. and B.M. diagrams for the beam.
(Solved Book Problems) – Problem 14, Chapter- Shear and Bending Moment, SOM by Dr. R. K. Bansal.)
Solution:
End support reactions are: Vertical Reactions, Rl = 7.0 kN, and Rr = 7.0 kN
Moment Reactions are Ml = 0 kNm and Mr = 0 kNm
left shear and moment nodes are : [7. 2.]kN and [ 0. 21.]kNm
udl shear and moment nodes are [2.0]kN and [21.0]kNm
shear and moment nodes are :[-2. -7. 0.]kN, [21. 21. 0.]kNm
Mmax = 23 kN-m at 5m from either ends.
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