Tapered Beam Deflection for Mid-Span Concentrated Load Calculator

✖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 effective span of the beam.ⓘ Beam Span [l]			+10% -10%
✖The shear modulus is the slope of the linear elastic region of the shear stress–strain curve.ⓘ Shear Modulus [G]			+10% -10%
✖The width of beam is the beam width measured from end to end.ⓘ Width of Beam [b]			+10% -10%
✖The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.ⓘ Effective Depth of Beam [d]			+10% -10%

✖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.ⓘ Tapered Beam Deflection for Mid-Span Concentrated Load [δ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Beams, Columns and Other Members Design Methods Formulas PDF PDF Image

Tapered Beam Deflection for Mid-Span Concentrated Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam)
δ = (3*T_l*l)/(10*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*T_l*l)/(10*G*b*d) --> (3*10*3)/(10*25000*0.305*0.285)

Evaluating ... ...

δ = 0.00414150129421915

STEP 3: Convert Result to Output's Unit

0.00414150129421915 Meter -->4.14150129421915 Millimeter (Check conversion here)

FINAL ANSWER

4.14150129421915 ≈ 4.141501 Millimeter <-- Deflection of Beam

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Concrete Formulas » Beams, Columns and Other Members Design Methods » Beams » Tapered Beam Deflection for Mid-Span Concentrated Load

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 700+ more calculators!

< Beams Calculators

Straight Beam Deflection

LaTeX 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

LaTeX 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

LaTeX Go Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam)

Tapered Beam Deflection for Mid-Span Concentrated Load Formula

LaTeX Go

Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam)
δ = (3*T_l*l)/(10*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 Mid-Span Concentrated Load?

Tapered Beam Deflection for Mid-Span Concentrated Load calculator uses Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam) to calculate the Deflection of Beam, The Tapered Beam Deflection for Mid-Span Concentrated 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 Mid-Span Concentrated Load using this online calculator? To use this online calculator for Tapered Beam Deflection for Mid-Span Concentrated Load, enter Total Beam Load (T_l), 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 Mid-Span Concentrated Load calculation can be explained with given input values -> 4141.501 = (3*10000*3)/(10*25000000000*0.305*0.285).

FAQ

What is Tapered Beam Deflection for Mid-Span Concentrated Load?

The Tapered Beam Deflection for Mid-Span Concentrated Load formula is defined as an outcome of shear deflection in addition to bending deflections and is represented as δ = (3*T_l*l)/(10*G*b*d) or Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*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 Mid-Span Concentrated Load?

The Tapered Beam Deflection for Mid-Span Concentrated 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)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam). To calculate Tapered Beam Deflection for Mid-Span Concentrated Load, you need Total Beam Load (T_l), 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)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam)

Home

FREE PDFs

🔍 Search