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Modified Total End Shear for Concentrated Loads Formula

GoModified Total End Shear for Uniform Loading Formula

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The modified total end shear is the total force in the beam acting perpendicular to its longitudinal (x) axis at its end. Check FAQs

V 1 = \frac{10 \cdot P \cdot (l beam - x) \cdot ({(\frac{x}{h})}^{2})}{9 \cdot l beam \cdot (2 + {(\frac{x}{h})}^{2})}

V₁ - Modified Total End Shear?P - Concentrated Load?l_beam - Span of Beam?x - Distance from Reaction to Concentrated Load?h - Depth of Beam?

Modified Total End Shear for Concentrated Loads Example

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Here is how the Modified Total End Shear for Concentrated Loads equation looks like with Values.

Here is how the Modified Total End Shear for Concentrated Loads equation looks like with Units.

Here is how the Modified Total End Shear for Concentrated Loads equation looks like.

46.5098 = \frac{10 \cdot 15000 \cdot (3000 - 15) \cdot ({(\frac{15}{200})}^{2})}{9 \cdot 3000 \cdot (2 + {(\frac{15}{200})}^{2})}

46.5098N = \frac{10 \cdot 15000N \cdot (3000mm - 15mm) \cdot ({(\frac{15mm}{200mm})}^{2})}{9 \cdot 3000mm \cdot (2 + {(\frac{15mm}{200mm})}^{2})}

46.5098 = \frac{10 \cdot 15000 \cdot (3000 - 15) \cdot ({(\frac{15}{200})}^{2})}{9 \cdot 3000 \cdot (2 + {(\frac{15}{200})}^{2})}

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Modified Total End Shear for Concentrated Loads Solution

Follow our step by step solution on how to calculate Modified Total End Shear for Concentrated Loads?

FIRST Step Consider the formula

V 1 = \frac{10 \cdot P \cdot (l beam - x) \cdot ({(\frac{x}{h})}^{2})}{9 \cdot l beam \cdot (2 + {(\frac{x}{h})}^{2})}

Next Step Substitute values of Variables

∴

V 1 = \frac{10 \cdot 15000N \cdot (3000mm - 15mm) \cdot ({(\frac{15mm}{200mm})}^{2})}{9 \cdot 3000mm \cdot (2 + {(\frac{15mm}{200mm})}^{2})}

Next Step Convert Units

∴

V 1 = \frac{10 \cdot 15000N \cdot (3m - 0.015m) \cdot ({(\frac{0.015m}{0.2m})}^{2})}{9 \cdot 3m \cdot (2 + {(\frac{0.015m}{0.2m})}^{2})}

Next Step Prepare to Evaluate

∴

V 1 = \frac{10 \cdot 15000 \cdot (3 - 0.015) \cdot ({(\frac{0.015}{0.2})}^{2})}{9 \cdot 3 \cdot (2 + {(\frac{0.015}{0.2})}^{2})}

Next Step Evaluate

∴

V 1 = 46.5098161421003N

LAST Step Rounding Answer

∴

V 1 = 46.5098N

Modified Total End Shear for Concentrated Loads Formula Elements

Variables

Modified Total End Shear

The modified total end shear is the total force in the beam acting perpendicular to its longitudinal (x) axis at its end.

Symbol: V₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Modified Total End Shear

Concentrated Load

A Concentrated Load is a load acting at a single point.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Concentrated Load

Span of Beam

The span of beam is the length of beam.

Symbol: l_beam

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Span of Beam

Distance from Reaction to Concentrated Load

Distance from Reaction to Concentrated Load is the distance between reaction and concentrated load.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Reaction to Concentrated Load

Depth of Beam

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.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Beam

Other Formulas to find Modified Total End Shear

Go Modified Total End Shear for Uniform Loading

V 1 = (\frac{W}{2}) \cdot (1 - (\frac{2 \cdot h}{l beam}))

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How to Evaluate Modified Total End Shear for Concentrated Loads?

Modified Total End Shear for Concentrated Loads evaluator 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 evaluate 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 evaluate Modified Total End Shear for Concentrated Loads using this online evaluator? To use this online evaluator 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.

FAQs on Modified Total End Shear for Concentrated Loads

What is the formula to find Modified Total End Shear for Concentrated Loads?

The formula of Modified Total End Shear for Concentrated Loads is expressed as 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)). Here is an example- 46.50982 = (10*15000*(3-0.015)*((0.015/0.2)^2))/(9*3*(2+(0.015/0.2)^2)).

How to calculate Modified Total End Shear for Concentrated Loads?

With Concentrated Load (P), Span of Beam (l_beam), Distance from Reaction to Concentrated Load (x) & Depth of Beam (h) we can find Modified Total End Shear for Concentrated Loads using the formula - 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)).

What are the other ways to Calculate Modified Total End Shear?

Here are the different ways to Calculate Modified Total End Shear-

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

Can the Modified Total End Shear for Concentrated Loads be negative?

No, the Modified Total End Shear for Concentrated Loads, measured in Force cannot be negative.

Which unit is used to measure Modified Total End Shear for Concentrated Loads?

Modified Total End Shear for Concentrated Loads is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Modified Total End Shear for Concentrated Loads can be measured.

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Modified Total End Shear for Concentrated Loads Formula

​GoModified Total End Shear for Uniform Loading Formula

Modified Total End Shear for Concentrated Loads Example

Modified Total End Shear for Concentrated Loads Solution

Modified Total End Shear for Concentrated Loads Formula Elements

Other Formulas to find Modified Total End Shear

Other formulas in Beams category

How to Evaluate Modified Total End Shear for Concentrated Loads?

FAQs on Modified Total End Shear for Concentrated Loads

Variable Name

GoModified Total End Shear for Uniform Loading Formula