Modified Total End Shear for Concentrated Loads Calculator

✖A Concentrated Load is a load acting at a single point.ⓘ Concentrated Load [P]			+10% -10%
✖The span of beam is the length of beam.ⓘ Span of Beam [l_beam]			+10% -10%
✖Distance from Reaction to Concentrated Load is the distance between reaction and concentrated load.ⓘ Distance from Reaction to Concentrated Load [x]			+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 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 Concentrated Loads [V₁]

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Formula

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Modified Total End Shear for Concentrated Loads

Formula

`"V"_{"1"} = (10*"P"*("l"_{"beam"}-"x")*(("x"/"h")^2))/(9*"l"_{"beam"}*(2+("x"/"h")^2))`

Example

`"46.50982N"=(10*"15000N"*("3000mm"-"15mm")*(("15mm"/"200.0mm")^2))/(9*"3000mm"*(2+("15mm"/"200.0mm")^2))`

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Modified Total End Shear for Concentrated Loads Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V₁ = (10*P*(l_beam-x)*((x/h)^2))/(9*l_beam*(2+(x/h)^2))
This formula uses 5 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.
Concentrated Load - (Measured in Newton) - A Concentrated Load is a load acting at a single point.
Span of Beam - (Measured in Meter) - The span of beam is the length of beam.
Distance from Reaction to Concentrated Load - (Measured in Meter) - Distance from Reaction to Concentrated Load is the distance between reaction and concentrated load.
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.

STEP 1: Convert Input(s) to Base Unit

Concentrated Load: 15000 Newton --> 15000 Newton No Conversion Required
Span of Beam: 3000 Millimeter --> 3 Meter (Check conversion here)
Distance from Reaction to Concentrated Load: 15 Millimeter --> 0.015 Meter (Check conversion here)
Depth of Beam: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = (10*P*(l_beam-x)*((x/h)^2))/(9*l_beam*(2+(x/h)^2)) --> (10*15000*(3-0.015)*((0.015/0.2)^2))/(9*3*(2+(0.015/0.2)^2))

Evaluating ... ...

V₁ = 46.5098161421003

STEP 3: Convert Result to Output's Unit

46.5098161421003 Newton --> No Conversion Required

FINAL ANSWER

46.5098161421003 ≈ 46.50982 Newton <-- Modified Total End Shear

(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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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 Width given Horizontal Shearing Stress

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

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

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 Concentrated Loads Formula

What is meant by the term 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 Concentrated Loads?

Modified Total End Shear for Concentrated Loads calculator uses 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)) to calculate the Modified Total End Shear, The Modified Total End Shear for Concentrated Loads formula is defined as it calculates the total shear force acting at the end for the concentrated loads (the loads which have a small contact area as compared to the total area of the supportive member). Modified Total End Shear is denoted by V₁ symbol.

How to calculate Modified Total End Shear for Concentrated Loads using this online calculator? To use this online calculator for Modified Total End Shear for Concentrated Loads, enter Concentrated Load (P), Span of Beam (l_beam), Distance from Reaction to Concentrated Load (x) & Depth of Beam (h) and hit the calculate button. Here is how the Modified Total End Shear for Concentrated Loads calculation can be explained with given input values -> 46.50982 = (10*15000*(3-0.015)*((0.015/0.2)^2))/(9*3*(2+(0.015/0.2)^2)).

FAQ

What is Modified Total End Shear for Concentrated Loads?

The Modified Total End Shear for Concentrated Loads formula is defined as it calculates the total shear force acting at the end for the concentrated loads (the loads which have a small contact area as compared to the total area of the supportive member) and is represented as V₁ = (10*P*(l_beam-x)*((x/h)^2))/(9*l_beam*(2+(x/h)^2)) or 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)). A Concentrated Load is a load acting at a single point, The span of beam is the length of beam, Distance from Reaction to Concentrated Load is the distance between reaction and concentrated load & 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.

How to calculate Modified Total End Shear for Concentrated Loads?

The Modified Total End Shear for Concentrated Loads formula is defined as it calculates the total shear force acting at the end for the concentrated loads (the loads which have a small contact area as compared to the total area of the supportive member) is calculated using 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)). To calculate Modified Total End Shear for Concentrated Loads, you need Concentrated Load (P), Span of Beam (l_beam), Distance from Reaction to Concentrated Load (x) & Depth of Beam (h). With our tool, you need to enter the respective value for Concentrated Load, Span of Beam, Distance from Reaction to Concentrated Load & 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 Modified Total End Shear?

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

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

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