Number of Shear Connectors required between Maximum and Zero Moment Calculator

✖Number of Shear Connectors can be described as the number of connectors required for building construction.ⓘ Number of Shear Connectors [N]			+10% -10%
✖Beta is a structural constant whose value depends on the effective section modulus for partial composite action.ⓘ Beta [β]			+10% -10%
✖Moment at Concentrated Load is the moment that occurred below the point load.ⓘ Moment at Concentrated Load [M]			+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%

✖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.ⓘ Number of Shear Connectors required between Maximum and Zero Moment [N₁]

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Formula

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Number of Shear Connectors required between Maximum and Zero Moment

Formula

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

Example

`"12.16867"=("25"*("0.6"-1))/((("30kN*m"*"0.6")/"101kN*m")-1)`

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Download Number of Connectors Required for Building Construction Formulas PDF

Number of Shear Connectors required between Maximum and Zero Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

Number of Shear Connectors: 25 --> No Conversion Required
Beta: 0.6 --> No Conversion Required
Moment at Concentrated Load: 30 Kilonewton Meter --> 30000 Newton Meter (Check conversion here)
Maximum Moment in Span: 101 Kilonewton Meter --> 101000 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N₁ = (N*(β-1))/(((M*β)/M_max)-1) --> (25*(0.6-1))/(((30000*0.6)/101000)-1)

Evaluating ... ...

N₁ = 12.1686746987952

STEP 3: Convert Result to Output's Unit

12.1686746987952 --> No Conversion Required

FINAL ANSWER

12.1686746987952 ≈ 12.16867 <-- No. of Shear Connectors Required

(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 required between Maximum and Zero Moment Formula

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

Number of Shear Connectors required between Maximum and Zero Moment calculator uses No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1) to calculate the No. of Shear Connectors Required, The Number of Shear Connectors required between Maximum and Zero Moment formula is defined as the number of shear connectors required in building construction with heavy concentrated loads. No. of Shear Connectors Required is denoted by N₁ symbol.

How to calculate Number of Shear Connectors required between Maximum and Zero Moment using this online calculator? To use this online calculator for Number of Shear Connectors required between Maximum and Zero Moment, enter Number of Shear Connectors (N), Beta (β), Moment at Concentrated Load (M) & Maximum Moment in Span (M_max) and hit the calculate button. Here is how the Number of Shear Connectors required between Maximum and Zero Moment calculation can be explained with given input values -> 11.68193 = (25*(0.6-1))/(((30000*0.6)/101000)-1).

FAQ

What is Number of Shear Connectors required between Maximum and Zero Moment?

The Number of Shear Connectors required between Maximum and Zero Moment formula is defined as the number of shear connectors required in building construction with heavy concentrated loads and is represented as N₁ = (N*(β-1))/(((M*β)/M_max)-1) or 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 can be described as the number of connectors required for building construction, Beta is a structural constant whose value depends on the effective section modulus for partial composite action, Moment at Concentrated Load is the moment that occurred below the point load & 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 required between Maximum and Zero Moment?

The Number of Shear Connectors required between Maximum and Zero Moment formula is defined as the number of shear connectors required in building construction with heavy concentrated loads is calculated using No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1). To calculate Number of Shear Connectors required between Maximum and Zero Moment, you need Number of Shear Connectors (N), Beta (β), Moment at Concentrated Load (M) & Maximum Moment in Span (M_max). With our tool, you need to enter the respective value for Number of Shear Connectors, Beta, Moment at Concentrated Load & 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.

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