Modified Total End Shear for Uniform Loading Calculator

✖The Total Uniformly Distributed load is a load that is distributed or spread across the whole region of an element such as a beam or slab.ⓘ Total Uniformly Distributed Load [W]			+10% -10%
✖Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.ⓘ Depth of Beam [h]			+10% -10%
✖The span of beam is the length of beam.ⓘ Span of Beam [l_beam]			+10% -10%

✖The modified total end shear is the total force in the beam acting perpendicular to its longitudinal (x) axis at its end.ⓘ Modified Total End Shear for Uniform Loading [V₁]

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Formula

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Modified Total End Shear for Uniform Loading

Formula

`"V"_{"1"} = ("W"/2)*(1-((2*"h")/"l"_{"beam"}))`

Example

`"43.33333N"=("100N"/2)*(1-((2*"200.0mm")/"3000mm"))`

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Modified Total End Shear for Uniform Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam))
V₁ = (W/2)*(1-((2*h)/l_beam))
This formula uses 4 Variables

Variables Used

Modified Total End Shear - (Measured in Newton) - The modified total end shear is the total force in the beam acting perpendicular to its longitudinal (x) axis at its end.
Total Uniformly Distributed Load - (Measured in Newton) - The Total Uniformly Distributed load is a load that is distributed or spread across the whole region of an element such as a beam or slab.
Depth of Beam - (Measured in Meter) - Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.
Span of Beam - (Measured in Meter) - The span of beam is the length of beam.

STEP 1: Convert Input(s) to Base Unit

Total Uniformly Distributed Load: 100 Newton --> 100 Newton No Conversion Required
Depth of Beam: 200 Millimeter --> 0.2 Meter (Check conversion here)
Span of Beam: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = (W/2)*(1-((2*h)/l_beam)) --> (100/2)*(1-((2*0.2)/3))

Evaluating ... ...

V₁ = 43.3333333333333

STEP 3: Convert Result to Output's Unit

43.3333333333333 Newton --> No Conversion Required

FINAL ANSWER

43.3333333333333 ≈ 43.33333 Newton <-- Modified Total End Shear

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 13 Beams Calculators

Modified Total End Shear for Concentrated Loads

Go Modified Total End Shear = (10*Concentrated Load*(Span of Beam-Distance from Reaction to Concentrated Load)*((Distance from Reaction to Concentrated Load/Depth of Beam)^2))/(9*Span of Beam*(2+(Distance from Reaction to Concentrated Load/Depth of Beam)^2))

Horizontal Shearing Stress in Rectangular Timber Beam given Notch in Lower Face

Go Horizontal Shearing Stress = ((3*Total Shear)/(2*Width of Beam*Depth of Beam above Notch))*(Depth of Beam/Depth of Beam above Notch)

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

Go Depth of Beam = sqrt((6*Bending Moment)/(Maximum Fiber Stress*Width of Beam))

Modified Total End Shear for Uniform Loading

Go Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam))

Horizontal Shearing Stress in Rectangular Timber Beam

Go Horizontal Shearing Stress = (3*Total Shear)/(2*Width of Beam*Depth of Beam)

Beam Depth given Horizontal Shearing Stress

Go Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress)

Beam Width given Extreme Fiber Stress for Rectangular Timber Beam

Go Width of Beam = (6*Bending Moment)/(Maximum Fiber Stress*(Depth of Beam)^2)

Total Shear given Horizontal Shearing Stress

Go Total Shear = (2*Horizontal Shearing Stress*Depth of Beam*Width of Beam)/3

Beam Width given Horizontal Shearing Stress

Go Width of Beam = (3*Total Shear)/(2*Depth of Beam*Horizontal Shearing Stress)

Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

Go Bending Moment = (Maximum Fiber Stress*Width of Beam*(Depth of Beam)^2)/6

Extreme Fiber Stress in Bending for Rectangular Timber Beam

Go Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2)

Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

Go Maximum Fiber Stress = Bending Moment/Section Modulus

Section Modulus given Height and Breadth of Section

Go Section Modulus = (Width of Beam*Depth of Beam^2)/6

Modified Total End Shear for Uniform Loading Formula

Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam))
V₁ = (W/2)*(1-((2*h)/l_beam))

What is Concentrated Load?

A single load or force that has such a small contact area as to be negligible compared with the entire surface area of the supporting member and applied at a certain point on the structure.

What is Shear force?

Shear force is the force in the beam acting perpendicular to its longitudinal (x) axis. Its S.I Unit is same as that of force i.e Newton.

How to Calculate Modified Total End Shear for Uniform Loading?

Modified Total End Shear for Uniform Loading calculator uses Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam)) to calculate the Modified Total End Shear, The Modified Total End Shear for Uniform Loading formula is defined as it calculates the total force in the beam acting perpendicular to its longitudinal (x) axis also known as shear force at the end. Modified Total End Shear is denoted by V₁ symbol.

How to calculate Modified Total End Shear for Uniform Loading using this online calculator? To use this online calculator for Modified Total End Shear for Uniform Loading, enter Total Uniformly Distributed Load (W), Depth of Beam (h) & Span of Beam (l_beam) and hit the calculate button. Here is how the Modified Total End Shear for Uniform Loading calculation can be explained with given input values -> 43.33333 = (100/2)*(1-((2*0.2)/3)).

FAQ

What is Modified Total End Shear for Uniform Loading?

The Modified Total End Shear for Uniform Loading formula is defined as it calculates the total force in the beam acting perpendicular to its longitudinal (x) axis also known as shear force at the end and is represented as V₁ = (W/2)*(1-((2*h)/l_beam)) or Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam)). The Total Uniformly Distributed load is a load that is distributed or spread across the whole region of an element such as a beam or slab, Depth of beam is the vertical distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length & The span of beam is the length of beam.

How to calculate Modified Total End Shear for Uniform Loading?

The Modified Total End Shear for Uniform Loading formula is defined as it calculates the total force in the beam acting perpendicular to its longitudinal (x) axis also known as shear force at the end is calculated using Modified Total End Shear = (Total Uniformly Distributed Load/2)*(1-((2*Depth of Beam)/Span of Beam)). To calculate Modified Total End Shear for Uniform Loading, you need Total Uniformly Distributed Load (W), Depth of Beam (h) & Span of Beam (l_beam). With our tool, you need to enter the respective value for Total Uniformly Distributed Load, Depth of Beam & Span 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 Modified Total End Shear?

In this formula, Modified Total End Shear uses Total Uniformly Distributed Load, Depth of Beam & Span of Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modified Total End Shear = (10*Concentrated Load*(Span of Beam-Distance from Reaction to Concentrated Load)*((Distance from Reaction to Concentrated Load/Depth of Beam)^2))/(9*Span of Beam*(2+(Distance from Reaction to Concentrated Load/Depth of Beam)^2))

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