Practice Problems

$($i$)$ Shown below is a welded plate girder which is simply supported at A and D and supports the loads shown. Calculate the following:

a$)$ Reactions at A and $D($you may ignore the self$-$weight of the girder$).$

b$)$ Shear forces at A$,$ B$,$ C and D$.$

c$)$ Bending Moments at A$,$ B$,$ C and D$.$

Sketch the deflected shape.

$($ii$)$ Shown below is a $10m$ long beam simply supported at A and $C$ and carrying a point load of $100kN$ and a uniformly distributed load of $30k\frac{N}{m}.$

a$)$ Calculate the vertical reactions at A and $C.$

b$)$ Draw the shear force diagram, indicating the values of shear at A$,$ B and $C.$

c$)$ Use your answer to b$)$ above to identify the position of maximum bending moment in the beam and calculate its value.

$14$