## Tapered beam Deflection for Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam)
δ = (3*Tl*l)/(20*G*b*d)
This formula uses 6 Variables
Variables Used
Deflection of Beam - (Measured in Meter) - The deflection of beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.
Total Beam Load - (Measured in Kilonewton) - 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 effective span of the beam.
Shear Modulus - (Measured in Megapascal) - The shear modulus is the slope of the linear elastic region of the shear stress–strain curve.
Width of Beam - (Measured in Meter) - The width of beam is the beam width measured from end to end.
Effective Depth of Beam - (Measured in Meter) - The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.
STEP 1: Convert Input(s) to Base Unit
Total Beam Load: 10 Kilonewton --> 10 Kilonewton No Conversion Required
Beam Span: 3000 Millimeter --> 3 Meter (Check conversion ​here)
Shear Modulus: 25000 Megapascal --> 25000 Megapascal No Conversion Required
Width of Beam: 305 Millimeter --> 0.305 Meter (Check conversion ​here)
Effective Depth of Beam: 285 Millimeter --> 0.285 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δ = (3*Tl*l)/(20*G*b*d) --> (3*10*3)/(20*25000*0.305*0.285)
Evaluating ... ...
δ = 0.00207075064710958
STEP 3: Convert Result to Output's Unit
0.00207075064710958 Meter -->2.07075064710958 Millimeter (Check conversion ​here)
2.07075064710958 2.070751 Millimeter <-- Deflection of Beam
(Calculation completed in 00.020 seconds)
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Created by Pranav More
Vellore Institute of Technology, Vellore (VIT, Vellore), Vellore
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## <Beams Calculators

Straight Beam Deflection
​ Go Deflection of Beam = ((Beam Loading Constant*Total Beam Load*(Beam Span)^3)/(Modulus of Elasticity of Concrete*Moment of Inertia))+((Support Condition Constant*Total Beam Load*Beam Span)/(Shear Modulus*Cross-Sectional Area of Beam))
Tapered beam Deflection for Uniformly Distributed Load
​ Go Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam)
Tapered Beam Deflection for Mid-Span Concentrated Load
​ Go Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam)

## Tapered beam Deflection for Uniformly Distributed Load Formula

Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam)
δ = (3*Tl*l)/(20*G*b*d)

## 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 a 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 Uniformly Distributed Load?

Tapered beam Deflection for Uniformly Distributed Load calculator uses Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam) to calculate the Deflection of Beam, The Tapered beam Deflection for Uniformly Distributed Load formula is defined as an outcome of shear deflection in addition to bending deflections. Deflection of Beam is denoted by δ 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 (Tl), Beam Span (l), Shear Modulus (G), Width of Beam (b) & Effective Depth of Beam (d) and hit the calculate button. Here is how the Tapered beam Deflection for Uniformly Distributed Load calculation can be explained with given input values -> 2070.751 = (3*10000*3)/(20*25000000000*0.305*0.285).

### FAQ

What is Tapered beam Deflection for Uniformly Distributed Load?
The Tapered beam Deflection for Uniformly Distributed Load formula is defined as an outcome of shear deflection in addition to bending deflections and is represented as δ = (3*Tl*l)/(20*G*b*d) or Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam). Total Beam Load is defined as the total application of force that is acting on the given beam, Beam span is the effective span of the beam, The shear modulus is the slope of the linear elastic region of the shear stress–strain curve, The width of beam is the beam width measured from end to end & The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.
How to calculate Tapered beam Deflection for Uniformly Distributed Load?
The Tapered beam Deflection for Uniformly Distributed Load formula is defined as an outcome of shear deflection in addition to bending deflections is calculated using Deflection of Beam = (3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam). To calculate Tapered beam Deflection for Uniformly Distributed Load, you need Total Beam Load (Tl), Beam Span (l), Shear Modulus (G), Width of Beam (b) & Effective Depth of Beam (d). With our tool, you need to enter the respective value for Total Beam Load, Beam Span, Shear Modulus, Width of Beam & Effective Depth of Beam 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 Deflection of Beam?
In this formula, Deflection of Beam uses Total Beam Load, Beam Span, Shear Modulus, Width of Beam & Effective Depth of Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Deflection of Beam = ((Beam Loading Constant*Total Beam Load*(Beam Span)^3)/(Modulus of Elasticity of Concrete*Moment of Inertia))+((Support Condition Constant*Total Beam Load*Beam Span)/(Shear Modulus*Cross-Sectional Area of Beam))
• Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam)
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