Shear Force at a section of beam - Definition, equation, calculation and diagram
Shearing force and bending moment are very important factors to be considered while designing any structural component.
Shearing force at a section of beam is defined as the algebraic sum of all the vertical forces acting on one side of the section. For example consider the following figure which shows the free body diagram of a simply supported beam.
Sign convention for shearing force
The force trying to push the left hand part of the beam upward will be taken as positive, whereas the force trying to push the left hand part of the beam downward will be taken as negative.
See the following figure;
Similarly the force trying to push the right hand part of the beam downward will be taken as positive and the force trying to push the right hand part of the beam upward is taken as negative.
In the beam given above, the shearing force at section x-x (by considering the forces on the left hand side) can be written as
Fx = RA – F1 – F2
Alternatively by considering the forces on the right hands side the shear force at section x-x can be written as
Fx = F3 + F4 - RB
The graphical representation of variation of shearing force along the span of the beam is known as shearing force diagram (SFD)
Shearing force diagram between two point loads is horizontal with a vertical rise or fall at the position of the loads
Shearing force variation in the region of a uniformly distributed load (UDL) is linear with a slope equal to the intensity of the UDL
Shearing force variation in the region of a uniformly varying load (UVL) is parabolic
You can also use following calculators for Bending moment and shear forceBending moment calculator for Cantilever
Stress Transformation Calculator
Calculate Principal Stress, Maximum shear stress and the their planes
Calculator for Moving Load Analysis
To determine Absolute Max. B.M. due to moving loads.
Moment of Inertia Calculator
Calculate moment of inertia of plane sections e.g. channel, angle, tee etc.
Reinforced Concrete Calculator
Calculate the strength of Reinforced concrete beam
Moment Distribution Calculator
Solving indeterminate beams
Deflection & Slope Calculator
Calculate deflection and slope of simply supported beam for many load cases
Fixed Beam Calculator
Calculation tool for beanding moment and shear force for Fixed Beam for many load cases
BM & SF Calculator for Cantilever
Calculate SF & BM for Cantilever
Deflection & Slope Calculator for Cantilever
For many load cases of Cantilever
Overhanging beam calculator
For SF & BM of many load cases of overhanging beam
Civil Engineering Quiz
Test your knowledge on different topics of Civil Engineering
Research Papers, Thesis and Dissertation
List of skyscrapers of the world
Contining Tall building worldwide
Contining List of civil engineering conferences, seminar and workshops
Profile of Civil Engineers
Get to know about distinguished Civil Engineers
Worldwide Civil Engineers Professional Societies
Keep visiting for getting updated or Join our mailing list
PleaseTell your Friends about us if you find our website useful