If R is the radius of the main curve, θ the angle of deflection S the shift and L the length of the transition curve, then the total tangent length of the curve is given by

What does the critical path in PERT represent ? 1. The shortest path for the earliest completion of the project. 2. The longest path of the network from the initial to final event,

A simply supported beam of constant width and varying depth and uniform strength is subjected to a central concentrated load. The depth of the beam d_{x} at a distance x from one of the supports is proportional to

In the given figure, the maximum bending moment at the fixed end of the cantilever caused by the UDL is M. The bending moment at section 1/5 from the free end is