Number of Shear Connectors Calculator

✖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.ⓘ No. of Shear Connectors Required [N₁]			+10% -10%
✖Moment at Concentrated Load is the moment that occurred below the point load.ⓘ Moment at Concentrated Load [M]			+10% -10%
✖Beta is a structural constant whose value depends on the effective section modulus for partial composite action.ⓘ Beta [β]			+10% -10%
✖Maximum Moment in Span is the maximum bending moment at a point in the beam where the shear force changes its sign.ⓘ Maximum Moment in Span [M_max]			+10% -10%

✖Number of Shear Connectors can be described as the number of connectors required for building construction.ⓘ Number of Shear Connectors [N]

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Formula

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Number of Shear Connectors

Formula

`"N" = "N"_{"1"}*(((("M"*"β")/"M"_{"max"})-1))/("β"-1)`

Example

`"24.65347"="12"*(((("30kN*m"*"0.6")/"101kN*m")-1))/("0.6"-1)`

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Download Number of Connectors Required for Building Construction Formulas PDF

Number of Shear Connectors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1)
N = N₁*((((M*β)/M_max)-1))/(β-1)
This formula uses 5 Variables

Variables Used

Number of Shear Connectors - Number of Shear Connectors can be described as the number of connectors required for building construction.
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.
Moment at Concentrated Load - (Measured in Newton Meter) - Moment at Concentrated Load is the moment that occurred below the point load.
Beta - Beta is a structural constant whose value depends on the effective section modulus for partial composite action.
Maximum Moment in Span - (Measured in Newton Meter) - Maximum Moment in Span is the maximum bending moment at a point in the beam where the shear force changes its sign.

STEP 1: Convert Input(s) to Base Unit

No. of Shear Connectors Required: 12 --> No Conversion Required
Moment at Concentrated Load: 30 Kilonewton Meter --> 30000 Newton Meter (Check conversion here)
Beta: 0.6 --> No Conversion Required
Maximum Moment in Span: 101 Kilonewton Meter --> 101000 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = N₁*((((M*β)/M_max)-1))/(β-1) --> 12*((((30000*0.6)/101000)-1))/(0.6-1)

Evaluating ... ...

N = 24.6534653465347

STEP 3: Convert Result to Output's Unit

24.6534653465347 --> No Conversion Required

FINAL ANSWER

24.6534653465347 ≈ 24.65347 <-- Number of Shear Connectors

(Calculation completed in 00.004 seconds)

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< 5 Number of Connectors Required for Building Construction Calculators

Moment at Concentrated Load given Number of Shear Connectors

Go Moment at Concentrated Load = (((Number of Shear Connectors*(Beta-1))+No. of Shear Connectors Required)/(No. of Shear Connectors Required*Beta))*Maximum Moment in Span

Maximum Moment in Span given Number of Shear Connectors

Go Maximum Moment in Span = (Moment at Concentrated Load*No. of Shear Connectors Required*Beta)/((Number of Shear Connectors*(Beta-1))+No. of Shear Connectors Required)

Number of Shear Connectors required between Maximum and Zero Moment

Go No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1)

Number of Shear Connectors

Go Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1)

Total Number of Connectors Resisting Total Horizontal Shear

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

Number of Shear Connectors Formula

Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1)
N = N₁*((((M*β)/M_max)-1))/(β-1)

What is a Shear Connector?

The Shear Connector is the steel projection provided on the top flange of steel in a span of a construction building with heavy concentrated loads.

What is Maximum Moment & Total Horizontal Shear?

The Maximum Moment can be represented as where the shear force becomes zero on the particular member of the structure.
The Total Horizontal Shear can be defined as a measure of the resistance to shear stress along the longitudinal axis of a member.

How to Calculate Number of Shear Connectors?

Number of Shear Connectors calculator uses Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1) to calculate 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 calculate Number of Shear Connectors using this online calculator? To use this online calculator 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. Here is how the Number of Shear Connectors calculation can be explained with given input values -> 24.65347 = 12*((((30000*0.6)/101000)-1))/(0.6-1).

FAQ

What is 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 and is represented as N = N₁*((((M*β)/M_max)-1))/(β-1) or Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1). 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, Moment at Concentrated Load is the moment that occurred below the point load, Beta is a structural constant whose value depends on the effective section modulus for partial composite action & Maximum Moment in Span is the maximum bending moment at a point in the beam where the shear force changes its sign.

How to calculate 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 is calculated using Number of Shear Connectors = No. of Shear Connectors Required*((((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1))/(Beta-1). To calculate Number of Shear Connectors, you need No. of Shear Connectors Required (N₁), Moment at Concentrated Load (M), Beta (β) & Maximum Moment in Span (M_max). With our tool, you need to enter the respective value for No. of Shear Connectors Required, Moment at Concentrated Load, Beta & Maximum Moment in Span 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 Number of Shear Connectors?

In this formula, Number of Shear Connectors uses No. of Shear Connectors Required, Moment at Concentrated Load, Beta & Maximum Moment in Span. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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