Tapered beam deflection for mid-span concentrated load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth)
delta = (3*P*L)/(10*G*b*h0)
This formula uses 6 Variables
Variables Used
Shear Deformation - Shear deformation is deformation of specimen caused by shear force.
Point Load acting on the Beam - (Measured in Newton) - Point Load acting on the Beam is a force applied at a single point at a set distance from the ends of the beam.
Beam span - (Measured in Meter) - Beam span is the total length of the beam considered.
Shear Modulus - (Measured in Pascal) - Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.
Beam Width - (Measured in Meter) - Beam Width is defined as the shortest/least measurement of the beam.
Beam depth - (Measured in Meter) - Beam depth is defined as the depth of the beam.
STEP 1: Convert Input(s) to Base Unit
Point Load acting on the Beam: 10 Kilonewton --> 10000 Newton (Check conversion here)
Beam span: 50 Meter --> 50 Meter No Conversion Required
Shear Modulus: 10 Pascal --> 10 Pascal No Conversion Required
Beam Width: 10 Millimeter --> 0.01 Meter (Check conversion here)
Beam depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
delta = (3*P*L)/(10*G*b*h0) --> (3*10000*50)/(10*10*0.01*10)
Evaluating ... ...
delta = 150000
STEP 3: Convert Result to Output's Unit
150000 --> No Conversion Required
FINAL ANSWER
150000 <-- Shear Deformation
(Calculation completed in 00.047 seconds)

Credits

Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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3 Beams Calculators

Straight Beam Deflection
Deflection of Beam = ((Beam loading constant*Total beam load*(Beam span)^3)/(Modulus of Elasticity*Moment of Inertia))+((Support condition constant*Total beam load*Beam span)/(Shear Modulus*Sectional area of beam)) Go
Tapered beam deflection for mid-span concentrated load
Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth) Go
Tapered beam deflection for uniformly distributed load
Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth) Go

Tapered beam deflection for mid-span concentrated load Formula

Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth)
delta = (3*P*L)/(10*G*b*h0)

What is a tapered beam?

The Tapered beam is a type of beam which is wider or thicker at the support and tapered at the end. Generally, cantilever beams are constructed in the tapered shape because the moments are generally applied at the end of the cantilever beam so that the free end of the cantilever beam is kept tapered.

What is shear deformation?

Shear deformation is very common during wearing process where the fabric is to be sheared to a more or less degree so as to conform to the new gesture of body movement

How to Calculate Tapered beam deflection for mid-span concentrated load?

Tapered beam deflection for mid-span concentrated load calculator uses Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth) to calculate the Shear Deformation, The Tapered beam deflection for mid-span concentrated load is defined as an outcome of shear deflection in addition to bending deflections. Shear Deformation is denoted by delta symbol.

How to calculate Tapered beam deflection for mid-span concentrated load using this online calculator? To use this online calculator for Tapered beam deflection for mid-span concentrated load, enter Point Load acting on the Beam (P), Beam span (L), Shear Modulus (G), Beam Width (b) & Beam depth (h0) and hit the calculate button. Here is how the Tapered beam deflection for mid-span concentrated load calculation can be explained with given input values -> 150000 = (3*10000*50)/(10*10*0.01*10).

FAQ

What is Tapered beam deflection for mid-span concentrated load?
The Tapered beam deflection for mid-span concentrated load is defined as an outcome of shear deflection in addition to bending deflections and is represented as delta = (3*P*L)/(10*G*b*h0) or Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth). Point Load acting on the Beam is a force applied at a single point at a set distance from the ends of the beam, Beam span is the total length of the beam considered, Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve, Beam Width is defined as the shortest/least measurement of the beam & Beam depth is defined as the depth of the beam.
How to calculate Tapered beam deflection for mid-span concentrated load?
The Tapered beam deflection for mid-span concentrated load is defined as an outcome of shear deflection in addition to bending deflections is calculated using Shear Deformation = (3*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth). To calculate Tapered beam deflection for mid-span concentrated load, you need Point Load acting on the Beam (P), Beam span (L), Shear Modulus (G), Beam Width (b) & Beam depth (h0). With our tool, you need to enter the respective value for Point Load acting on the Beam, Beam span, Shear Modulus, Beam Width & Beam depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Shear Deformation?
In this formula, Shear Deformation uses Point Load acting on the Beam, Beam span, Shear Modulus, Beam Width & Beam depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth)
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