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Number of Shear Connectors Formula

GoTotal Number of Connectors Resisting Total Horizontal Shear Formula

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Number of Shear Connectors can be described as the number of connectors required for building construction. Check FAQs

N = N 1 \cdot \frac{((\frac{M \cdot β}{M max}) - 1)}{β - 1}

N - Number of Shear Connectors?N₁ - No. of Shear Connectors Required?M - Moment at Concentrated Load?β - Beta?M_max - Maximum Moment in Span?

Number of Shear Connectors Example

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Here is how the Number of Shear Connectors equation looks like with Values.

Here is how the Number of Shear Connectors equation looks like with Units.

Here is how the Number of Shear Connectors equation looks like.

24.6535 = 12 \cdot \frac{((\frac{30 \cdot 0.6}{101}) - 1)}{0.6 - 1}

24.6535 = 12 \cdot \frac{((\frac{30kN*m \cdot 0.6}{101kN*m}) - 1)}{0.6 - 1}

24.6535 = 12 \cdot \frac{((\frac{30 \cdot 0.6}{101}) - 1)}{0.6 - 1}

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Number of Shear Connectors Solution

Follow our step by step solution on how to calculate Number of Shear Connectors?

FIRST Step Consider the formula

N = N 1 \cdot \frac{((\frac{M \cdot β}{M max}) - 1)}{β - 1}

Next Step Substitute values of Variables

∴

N = 12 \cdot \frac{((\frac{30kN*m \cdot 0.6}{101kN*m}) - 1)}{0.6 - 1}

Next Step Convert Units

∴

N = 12 \cdot \frac{((\frac{30000N*m \cdot 0.6}{101000N*m}) - 1)}{0.6 - 1}

Next Step Prepare to Evaluate

∴

N = 12 \cdot \frac{((\frac{30000 \cdot 0.6}{101000}) - 1)}{0.6 - 1}

Next Step Evaluate

∴

N = 24.6534653465347

LAST Step Rounding Answer

∴

N = 24.6535

Number of Shear Connectors Formula Elements

Variables

Number of Shear Connectors

Number of Shear Connectors can be described as the number of connectors required for building construction.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Shear Connectors

No. of Shear Connectors Required

No. of Shear Connectors Required between Mmax and 0 Moment is the number of connectors required to resist the horizontal shear between the specified span.

Symbol: N₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find No. of Shear Connectors Required

Moment at Concentrated Load

Moment at Concentrated Load is the moment that occurred below the point load.

Symbol: M

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment at Concentrated Load

Beta

Beta is a structural constant whose value depends on the effective section modulus for partial composite action.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Beta

Maximum Moment in Span

Maximum Moment in Span is the maximum bending moment at a point in the beam where the shear force changes its sign.

Symbol: M_max

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Maximum Moment in Span

Other Formulas to find Number of Shear Connectors

Go Total Number of Connectors Resisting Total Horizontal Shear

N = \frac{V h}{q}

Other formulas in Number of Connectors Required for Building Construction category

Go Number of Shear Connectors required between Maximum and Zero Moment

N 1 = \frac{N \cdot (β - 1)}{(\frac{M \cdot β}{M max}) - 1}

Go Maximum Moment in Span given Number of Shear Connectors

M max = \frac{M \cdot N 1 \cdot β}{(N \cdot (β - 1)) + N 1}

Go Moment at Concentrated Load given Number of Shear Connectors

M = (\frac{(N \cdot (β - 1)) + N 1}{N 1 \cdot β}) \cdot M max

How to Evaluate Number of Shear Connectors?

Number of Shear Connectors evaluator uses Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1) to evaluate the Number of Shear Connectors, The Number of Shear Connectors formula is defined as the shear connectors that will be required in case of heavy concentrated loads, where the uniform spacing of shear connectors may not be sufficient between a concentrated load and the nearest point of zero moment. Number of Shear Connectors is denoted by N symbol.

How to evaluate Number of Shear Connectors using this online evaluator? To use this online evaluator for Number of Shear Connectors, enter No. of Shear Connectors Required (N₁), Moment at Concentrated Load (M), Beta (β) & Maximum Moment in Span (M_max) and hit the calculate button.

FAQs on Number of Shear Connectors

What is the formula to find Number of Shear Connectors?

The formula of Number of Shear Connectors is expressed as Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1). Here is an example- 24.65347 = 12*((((30000*0.6)/101000)-1))/(0.6-1).

How to calculate Number of Shear Connectors?

With No. of Shear Connectors Required (N₁), Moment at Concentrated Load (M), Beta (β) & Maximum Moment in Span (M_max) we can find Number of Shear Connectors using the formula - Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1).

What are the other ways to Calculate Number of Shear Connectors?

Here are the different ways to Calculate Number of Shear Connectors-

Number of Shear Connectors=Total Horizontal Shear/Allowable Shear for One Connector

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Number of Shear Connectors Formula

​GoTotal Number of Connectors Resisting Total Horizontal Shear Formula

Number of Shear Connectors Example

Number of Shear Connectors Solution

Number of Shear Connectors Formula Elements

Other Formulas to find Number of Shear Connectors

Other formulas in Number of Connectors Required for Building Construction category

How to Evaluate Number of Shear Connectors?

FAQs on Number of Shear Connectors

Variable Name

GoTotal Number of Connectors Resisting Total Horizontal Shear Formula