Moment at Concentrated Load given Number of Shear Connectors 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%
✖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%
✖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%

✖Moment at Concentrated Load is the moment that occurred below the point load.ⓘ Moment at Concentrated Load given Number of Shear Connectors [M]

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Formula

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Moment at Concentrated Load given Number of Shear Connectors

Formula

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

Example

`"28.05556kN*m"=((("25"*("0.6"-1))+"12")/("12"*"0.6"))*"101kN*m"`

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Moment at Concentrated Load given Number of Shear Connectors Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Moment at Concentrated Load - (Measured in Newton Meter) - Moment at Concentrated Load is the moment that occurred below the point load.
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.
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.
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
No. of Shear Connectors Required: 12 --> 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

M = (((N*(β-1))+N₁)/(N₁*β))*M_max --> (((25*(0.6-1))+12)/(12*0.6))*101000

Evaluating ... ...

M = 28055.5555555556

STEP 3: Convert Result to Output's Unit

28055.5555555556 Newton Meter -->28.0555555555556 Kilonewton Meter (Check conversion here)

FINAL ANSWER

28.0555555555556 ≈ 28.05556 Kilonewton Meter <-- Moment at Concentrated Load

(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

Moment at Concentrated Load given Number of Shear Connectors Formula

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 Moment at Concentrated Load given Number of Shear Connectors?

Moment at Concentrated Load given Number of Shear Connectors calculator uses 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 to calculate the Moment at Concentrated Load, The Moment at Concentrated Load given Number of Shear Connectors formula is defined as the bending moment experienced by the member at the point where the concentrated load is acting. Moment at Concentrated Load is denoted by M symbol.

How to calculate Moment at Concentrated Load given Number of Shear Connectors using this online calculator? To use this online calculator for Moment at Concentrated Load given Number of Shear Connectors, enter Number of Shear Connectors (N), Beta (β), No. of Shear Connectors Required (N₁) & Maximum Moment in Span (M_max) and hit the calculate button. Here is how the Moment at Concentrated Load given Number of Shear Connectors calculation can be explained with given input values -> 0.033667 = (((25*(0.6-1))+12)/(12*0.6))*101000.

FAQ

What is Moment at Concentrated Load given Number of Shear Connectors?

The Moment at Concentrated Load given Number of Shear Connectors formula is defined as the bending moment experienced by the member at the point where the concentrated load is acting and is represented as M = (((N*(β-1))+N₁)/(N₁*β))*M_max or 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. 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, 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 & 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 Moment at Concentrated Load given Number of Shear Connectors?

The Moment at Concentrated Load given Number of Shear Connectors formula is defined as the bending moment experienced by the member at the point where the concentrated load is acting is calculated using 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. To calculate Moment at Concentrated Load given Number of Shear Connectors, you need Number of Shear Connectors (N), Beta (β), No. of Shear Connectors Required (N₁) & Maximum Moment in Span (M_max). With our tool, you need to enter the respective value for Number of Shear Connectors, Beta, No. of Shear Connectors Required & 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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