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Moment at Concentrated Load given Number of Shear Connectors Formula

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Moment at Concentrated Load is the moment that occurred below the point load. Check FAQs

M = (\frac{(N \cdot (β - 1)) + N 1}{N 1 \cdot β}) \cdot M max

M - Moment at Concentrated Load?N - Number of Shear Connectors?β - Beta?N₁ - No. of Shear Connectors Required?M_max - Maximum Moment in Span?

Moment at Concentrated Load given Number of Shear Connectors Example

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Here is how the Moment at Concentrated Load given Number of Shear Connectors equation looks like with Values.

Here is how the Moment at Concentrated Load given Number of Shear Connectors equation looks like with Units.

Here is how the Moment at Concentrated Load given Number of Shear Connectors equation looks like.

28.0556 = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101

28.0556kN*m = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101kN*m

28.0556 = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101

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Moment at Concentrated Load given Number of Shear Connectors Solution

Follow our step by step solution on how to calculate Moment at Concentrated Load given Number of Shear Connectors?

FIRST Step Consider the formula

M = (\frac{(N \cdot (β - 1)) + N 1}{N 1 \cdot β}) \cdot M max

Next Step Substitute values of Variables

∴

M = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101kN*m

Next Step Convert Units

∴

M = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101000N*m

Next Step Prepare to Evaluate

∴

M = (\frac{(25 \cdot (0.6 - 1)) + 12}{12 \cdot 0.6}) \cdot 101000

Next Step Evaluate

∴

M = 28055.5555555556N*m

Next Step Convert to Output's Unit

∴

M = 28.0555555555556kN*m

LAST Step Rounding Answer

∴

M = 28.0556kN*m

Moment at Concentrated Load given Number of Shear Connectors Formula Elements

Variables

Moment at Concentrated Load

Moment at Concentrated Load is the moment that occurred below the point load.

Symbol: M

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment at Concentrated Load

Number of Shear Connectors

Number of Shear Connectors can be described as the number of connectors required for building construction.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Shear Connectors

Beta

Beta is a structural constant whose value depends on the effective section modulus for partial composite action.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Beta

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.

Symbol: N₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find No. of Shear Connectors Required

Maximum Moment in Span

Maximum Moment in Span is the maximum bending moment at a point in the beam where the shear force changes its sign.

Symbol: M_max

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Maximum Moment in Span

Other formulas in Number of Connectors Required for Building Construction category

Go Number of Shear Connectors

N = N 1 \cdot \frac{((\frac{M \cdot β}{M max}) - 1)}{β - 1}

Go Number of Shear Connectors required between Maximum and Zero Moment

N 1 = \frac{N \cdot (β - 1)}{(\frac{M \cdot β}{M max}) - 1}

Go Maximum Moment in Span given Number of Shear Connectors

M max = \frac{M \cdot N 1 \cdot β}{(N \cdot (β - 1)) + N 1}

Go Total Number of Connectors Resisting Total Horizontal Shear

N = \frac{V h}{q}

How to Evaluate Moment at Concentrated Load given Number of Shear Connectors?

Moment at Concentrated Load given Number of Shear Connectors evaluator 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 evaluate 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 evaluate Moment at Concentrated Load given Number of Shear Connectors using this online evaluator? To use this online evaluator 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.

FAQs on Moment at Concentrated Load given Number of Shear Connectors

What is the formula to find Moment at Concentrated Load given Number of Shear Connectors?

The formula of Moment at Concentrated Load given Number of Shear Connectors is expressed as 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. Here is an example- 0.033667 = (((25*(0.6-1))+12)/(12*0.6))*101000.

How to calculate Moment at Concentrated Load given Number of Shear Connectors?

With Number of Shear Connectors (N), Beta (β), No. of Shear Connectors Required (N₁) & Maximum Moment in Span (M_max) we can find Moment at Concentrated Load given Number of Shear Connectors using the formula - 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.

Can the Moment at Concentrated Load given Number of Shear Connectors be negative?

No, the Moment at Concentrated Load given Number of Shear Connectors, measured in Torque cannot be negative.

Which unit is used to measure Moment at Concentrated Load given Number of Shear Connectors?

Moment at Concentrated Load given Number of Shear Connectors is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Moment at Concentrated Load given Number of Shear Connectors can be measured.

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Moment at Concentrated Load given Number of Shear Connectors Formula

Moment at Concentrated Load given Number of Shear Connectors Example

Moment at Concentrated Load given Number of Shear Connectors Solution

Moment at Concentrated Load given Number of Shear Connectors Formula Elements

Other formulas in Number of Connectors Required for Building Construction category

How to Evaluate Moment at Concentrated Load given Number of Shear Connectors?

FAQs on Moment at Concentrated Load given Number of Shear Connectors

Variable Name