ILD for Bending Moment at section E is

ILD for the member CI for the given truss if the unit load rolls along AB is

In a beam of length L, four possible influence line diagrams for shear force at a section located at a distance of L4 from the left end support (marked as P,Q,R and S ) are shown below. The correct influence line diagram is

The influence line diagram (ILD) shown is for the member

Influence lines are drawn for structures

Deflection of a simply supported beam when subjected to central point load is given as

A cantilever beam of length, L, with uniform cross-section and flexural rigidity, EI, is loaded uniformly by a vertical load, w per unit length. The maximum vertical deflection of the beam is given by

Slope for the cantilever beam carrying UVL load

if original beam having internal support. what would be the same support in conjugate beam

C G of the right angled triangle form its base

Shape of Bending moment diagram if beam carrying UDL

BM at C

In conjugate Beam, Slope value is equivalent to

Theorem of conjugate beam is

a) The rotation at a point in a beam is equal to the shear force in the conjugate beam

b) The deflection at a point in a beam at any point in a beam is equal to the bending moment in the conjugate beam