Question

A rectangular cross section beam (A) made of steel constructed in an industrial building
between two columns which are “X” m apart. The beam is acting as a support for one end of
a pair of crane wheel (B). The distance b/w wheels are “Y” m. The crane is used to lift max.
of Z tonnes of load which is having hook at the centre of crane. Draw shear force and B.M
diagram of the beam.
Case i) If the crane wheels are positioned at equal distances from centre of the beam.
Case ii) If one of the crane wheels is exactly at the centre.
Case iii) If one of the crane wheels comes exactly over a column.
Also find the max. bending stresses in the beam for the first case considering the depth (d)
as twice the width of the beam.
where X=4.8m,Y=0.8, Z =9 tonnes, Depth (d) = 500mm

Answer 1

1. The shear force and Bending moment diagrams for all the three cases are attached below

2. The max. bending stress in the beam for the first case considering depth (d) as twice the width of the beam is equal to 864 tonnes/m2.