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Number of Shear Connectors required between Maximum and Zero Moment Formula

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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. Check FAQs

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

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

Number of Shear Connectors required between Maximum and Zero Moment Example

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Here is how the Number of Shear Connectors required between Maximum and Zero Moment equation looks like with Values.

Here is how the Number of Shear Connectors required between Maximum and Zero Moment equation looks like with Units.

Here is how the Number of Shear Connectors required between Maximum and Zero Moment equation looks like.

12.1687 = \frac{25 \cdot (0.6 - 1)}{(\frac{30 \cdot 0.6}{101}) - 1}

12.1687 = \frac{25 \cdot (0.6 - 1)}{(\frac{30kN*m \cdot 0.6}{101kN*m}) - 1}

12.1687 = \frac{25 \cdot (0.6 - 1)}{(\frac{30 \cdot 0.6}{101}) - 1}

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Number of Shear Connectors required between Maximum and Zero Moment Solution

Follow our step by step solution on how to calculate Number of Shear Connectors required between Maximum and Zero Moment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N 1 = \frac{25 \cdot (0.6 - 1)}{(\frac{30kN*m \cdot 0.6}{101kN*m}) - 1}

Next Step Convert Units

∴

N 1 = \frac{25 \cdot (0.6 - 1)}{(\frac{30000N*m \cdot 0.6}{101000N*m}) - 1}

Next Step Prepare to Evaluate

∴

N 1 = \frac{25 \cdot (0.6 - 1)}{(\frac{30000 \cdot 0.6}{101000}) - 1}

Next Step Evaluate

∴

N 1 = 12.1686746987952

LAST Step Rounding Answer

∴

N 1 = 12.1687

Number of Shear Connectors required between Maximum and Zero Moment Formula Elements

Variables

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

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

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

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 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 Moment at Concentrated Load given Number of Shear Connectors

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

Go Total Number of Connectors Resisting Total Horizontal Shear

N = \frac{V h}{q}

How to Evaluate Number of Shear Connectors required between Maximum and Zero Moment?

Number of Shear Connectors required between Maximum and Zero Moment evaluator uses No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1) to evaluate 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 evaluate Number of Shear Connectors required between Maximum and Zero Moment using this online evaluator? To use this online evaluator 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.

FAQs on Number of Shear Connectors required between Maximum and Zero Moment

What is the formula to find Number of Shear Connectors required between Maximum and Zero Moment?

The formula of Number of Shear Connectors required between Maximum and Zero Moment is expressed as No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1). Here is an example- 11.68193 = (25*(0.6-1))/(((30000*0.6)/101000)-1).

How to calculate Number of Shear Connectors required between Maximum and Zero Moment?

With Number of Shear Connectors (N), Beta (β), Moment at Concentrated Load (M) & Maximum Moment in Span (M_max) we can find Number of Shear Connectors required between Maximum and Zero Moment using the formula - No. of Shear Connectors Required = (Number of Shear Connectors*(Beta-1))/(((Moment at Concentrated Load*Beta)/Maximum Moment in Span)-1).

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Number of Shear Connectors required between Maximum and Zero Moment Formula

Number of Shear Connectors required between Maximum and Zero Moment Example

Number of Shear Connectors required between Maximum and Zero Moment Solution

Number of Shear Connectors required between Maximum and Zero Moment Formula Elements

Other formulas in Number of Connectors Required for Building Construction category

How to Evaluate Number of Shear Connectors required between Maximum and Zero Moment?

FAQs on Number of Shear Connectors required between Maximum and Zero Moment

Variable Name