INTRODUCTION:
SHEAR FORCE
The shearing force (SF) at any section of a beam represents the tendency for the portion of the beam on one side of the section to slide or shear laterally relative to the other portion.
The diagram shows a beam carrying loads . It is simply supported at two points where the reactions are Assume that the beam is divided into two parts by a section XX The resultant of the loads and reaction acting on the left of AA is F vertically upwards and since the whole beam is in equilibrium, the resultant force to the right of AA must be F downwards. F is called the Shearing Force at the section AA. It may be defined as follows:-
The shearing force at any section of a beam is the algebraic sum of the lateral components of the forces acting on either side of the section.
Where forces are neither in the lateral or axial direction they must be resolved in the usual way and only the lateral components use to calculate the shear force.
EXPERIMENT 1A[i]:
Shear Force Variation with an Increasing Point Load
OBJECTIVE : This experiment examines how shear forces varies with an increasing point load.
THEORY:
We know that if a body or object of any sort is stationary, then the forces on it balance, as follows: 1. Vertical equilibrium (total force up = total force down) 2. Horizontal equilibrium ( total force right = total force left) 3. Moment equilibrium (total clockwise moment = total anticlockwise moment)
We will use the statement:
“The shear force at the ‘cut’ is equal to the algebraic sum of the forces acting to the left or right of the cut”.
“The bending moment at the ‘cut’ is equal to the algebraic sum of the moments caused by the forces acting to the left or right of the cut”.
APPARATUS: a)
Digital Force Display
b)
Hanger
c)
Ballast
d)
Long Ruler
PROCEDURE: i. Check the Digital Force Display meter reads