Shear Force & Bending Moment
A Beam is normally Horizontal in direction & Loads acting on the beams are in Vertical direction
The Following are the important types of Loads
(I) Point Load
(II) Uniform distributed load (UDL)
(III) Uniformly Varying load
1) Point Loads or Concentrated Loads:
A point Load is one , in which the load is consider to act in a Particular Point or a concentrated point.
Although in practice it must be distributed over a small area.
2) Uniformly Distributed Load (UDL)
A Uniformly Distributed Load is one, in which the Load is distributed equally over a beam. In such a manner that, rate of loading (W) is uniform along the length. Each unit length is loaded with the same rate of weight.
==> the rate of loading is expressed as W N/m
==> for solving the numerical problems, the total uniform distributed load is converted into a point load acting at the center of UDL
3) Uniformly Varying Load
A Uniformly Varying load is one, in which the load is spread over a beam, where the load is varying from Point to Point along the beam, as shown in above fig.,
==> Here the load is Zero at one end & increases uniformly to the other end. Such load is called Triangular Load.
==> for solving the numerical problems, the total Uniformly Varying Load is equal to the area of the triangle. and the total load is assumed to be acting at the Center of Gravity, of the triangle. i.e., at a distance of 2/3rd of the total length of beam from heft hand side.
Sign Conventions for shear force & Bending Moment
Small Problem on Shear Force & Bending Moment
Small Problem on Shear Force & Bending Moment with UDL