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)
Mmax = (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
Mmax = (M*N1*β)/((N*(β-1))+N1) --> (30000*12*0.6)/((25*(0.6-1))+12)
Evaluating ... ...
Mmax = 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 00.004 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
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)
Mmax = (M*N1*β)/((N*(β-1))+N1)

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 Mmax 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 Mmax = (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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