Maximum Moment in Span given Number of Shear Connectors Calculator

✖Moment at Concentrated Load is the moment that occurred below the point load.ⓘ Moment at Concentrated Load [M]			+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.ⓘ No. of Shear Connectors Required [N₁]			+10% -10%
✖Beta is a structural constant whose value depends on the effective section modulus for partial composite action.ⓘ Beta [β]			+10% -10%
✖Number of Shear Connectors can be described as the number of connectors required for building construction.ⓘ Number of Shear Connectors [N]			+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 given Number of Shear Connectors [M_max]

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Maximum Moment in Span given Number of Shear Connectors Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
M_max = (M*N₁*β)/((N*(β-1))+N₁)
This formula uses 5 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Moment at Concentrated Load: 30 Kilonewton Meter --> 30000 Newton Meter (Check conversion here)
No. of Shear Connectors Required: 12 --> No Conversion Required
Beta: 0.6 --> No Conversion Required
Number of Shear Connectors: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_max = (M*N₁*β)/((N*(β-1))+N₁) --> (30000*12*0.6)/((25*(0.6-1))+12)

Evaluating ... ...

M_max = 108000

STEP 3: Convert Result to Output's Unit

108000 Newton Meter -->108 Kilonewton Meter (Check conversion here)

FINAL ANSWER

108 Kilonewton Meter <-- Maximum Moment in Span

(Calculation completed in 00.020 seconds)

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< Number of Connectors Required for Building Construction Calculators

Moment at Concentrated Load given Number of Shear Connectors

LaTeX 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

LaTeX 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

LaTeX 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

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

Maximum Moment in Span given Number of Shear Connectors Formula

LaTeX Go

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 Maximum Moment in Span given Number of Shear Connectors?

Maximum Moment in Span given Number of Shear Connectors calculator uses 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) to calculate the Maximum Moment in Span, The Maximum Moment in Span given Number of Shear Connectors formula is defined as the greatest bending moment experienced by a structural member (such as a beam) between two adjacent supports and the point at which shear force changes sign on the span. Maximum Moment in Span is denoted by M_max symbol.

How to calculate Maximum Moment in Span given Number of Shear Connectors using this online calculator? To use this online calculator for Maximum Moment in Span given Number of Shear Connectors, enter Moment at Concentrated Load (M), No. of Shear Connectors Required (N₁), Beta (β) & Number of Shear Connectors (N) and hit the calculate button. Here is how the Maximum Moment in Span given Number of Shear Connectors calculation can be explained with given input values -> 0.09 = (30000*12*0.6)/((25*(0.6-1))+12).

FAQ

What is Maximum Moment in Span given Number of Shear Connectors?

The Maximum Moment in Span given Number of Shear Connectors formula is defined as the greatest bending moment experienced by a structural member (such as a beam) between two adjacent supports and the point at which shear force changes sign on the span and is represented as M_max = (M*N₁*β)/((N*(β-1))+N₁) or 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). Moment at Concentrated Load is the moment that occurred below the point load, 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, Beta is a structural constant whose value depends on the effective section modulus for partial composite action & Number of Shear Connectors can be described as the number of connectors required for building construction.

How to calculate Maximum Moment in Span given Number of Shear Connectors?

The Maximum Moment in Span given Number of Shear Connectors formula is defined as the greatest bending moment experienced by a structural member (such as a beam) between two adjacent supports and the point at which shear force changes sign on the span is calculated using 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). To calculate Maximum Moment in Span given Number of Shear Connectors, you need Moment at Concentrated Load (M), No. of Shear Connectors Required (N₁), Beta (β) & Number of Shear Connectors (N). With our tool, you need to enter the respective value for Moment at Concentrated Load, No. of Shear Connectors Required, Beta & Number of Shear Connectors 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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