Tapered beam deflection for uniformly distributed load Calculator

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✖Total beam load is defined as the total application of force that is acting on the given beam.ⓘ Total beam load [T_l]			+10% -10%
✖Beam span is the total length of the beam considered.ⓘ Beam span [L]			+10% -10%
✖Shear Modulus is the slope of the linear elastic region of the shear stress-strain curve.ⓘ Shear Modulus [G]			+10% -10%
✖Beam Width is defined as the shortest/least measurement of the beam.ⓘ Beam Width [b]			+10% -10%
✖Beam depth is defined as the depth of the beam.ⓘ Beam depth [h₀]			+10% -10%

✖Shear deformation is deformation of specimen caused by shear force.ⓘ Tapered beam deflection for uniformly distributed load [delta]

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Tapered beam deflection for uniformly distributed load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth)
delta = (3*T_l*L)/(20*G*b*h₀)
This formula uses 6 Variables

Variables Used

Shear Deformation - Shear deformation is deformation of specimen caused by shear force.
Total beam load - (Measured in Newton) - Total beam load is defined as the total application of force that is acting on the given 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

Total beam load: 10 Newton --> 10 Newton No Conversion Required
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*T_l*L)/(20*G*b*h₀) --> (3*10*50)/(20*10*0.01*10)

Evaluating ... ...

delta = 75

STEP 3: Convert Result to Output's Unit

75 --> No Conversion Required

FINAL ANSWER

75 <-- Shear Deformation

(Calculation completed in 00.031 seconds)

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Credits

Created by Pranav More

Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore

Pranav More has created this Calculator and 10+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 800+ more calculators!

< 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 uniformly distributed load Formula

Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth)
delta = (3*T_l*L)/(20*G*b*h₀)

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 uniformly distributed load?

Tapered beam deflection for uniformly distributed load calculator uses Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth) to calculate the Shear Deformation, The Tapered beam deflection for uniformly distributed 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 uniformly distributed load using this online calculator? To use this online calculator for Tapered beam deflection for uniformly distributed load, enter Total beam load (T_l), 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 uniformly distributed load calculation can be explained with given input values -> 75 = (3*10*50)/(20*10*0.01*10).

FAQ

What is Tapered beam deflection for uniformly distributed load?

The Tapered beam deflection for uniformly distributed load is defined as an outcome of shear deflection in addition to bending deflections and is represented as delta = (3*T_l*L)/(20*G*b*h₀) or Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth). Total beam load is defined as the total application of force that is acting on the given 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 uniformly distributed load?

The Tapered beam deflection for uniformly distributed load is defined as an outcome of shear deflection in addition to bending deflections is calculated using Shear Deformation = (3*Total beam load*Beam span)/(20*Shear Modulus*Beam Width*Beam depth). To calculate Tapered beam deflection for uniformly distributed load, you need Total beam load (T_l), Beam span (L), Shear Modulus (G), Beam Width (b) & Beam depth (h₀). With our tool, you need to enter the respective value for Total beam load, 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 Total beam load, 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*Point Load acting on the Beam*Beam span)/(10*Shear Modulus*Beam Width*Beam depth)

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