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Maximum Moment in Span given Number of Shear Connectors Formula

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

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

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

Maximum Moment in Span given Number of Shear Connectors Example

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Here is how the Maximum Moment in Span given Number of Shear Connectors equation looks like with Values.

Here is how the Maximum Moment in Span given Number of Shear Connectors equation looks like with Units.

Here is how the Maximum Moment in Span given Number of Shear Connectors equation looks like.

108 = \frac{30 \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

108kN*m = \frac{30kN*m \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

108 = \frac{30 \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

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Maximum Moment in Span given Number of Shear Connectors Solution

Follow our step by step solution on how to calculate Maximum Moment in Span given Number of Shear Connectors?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M max = \frac{30kN*m \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

Next Step Convert Units

∴

M max = \frac{30000N*m \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

Next Step Prepare to Evaluate

∴

M max = \frac{30000 \cdot 12 \cdot 0.6}{(25 \cdot (0.6 - 1)) + 12}

Next Step Evaluate

∴

M max = 108000N*m

LAST Step Convert to Output's Unit

∴

M max = 108kN*m

Maximum Moment in Span given Number of Shear Connectors Formula Elements

Variables

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

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

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

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

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

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 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 Maximum Moment in Span given Number of Shear Connectors?

Maximum Moment in Span given Number of Shear Connectors evaluator 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 evaluate 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 evaluate Maximum Moment in Span given Number of Shear Connectors using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Moment in Span given Number of Shear Connectors

What is the formula to find Maximum Moment in Span given Number of Shear Connectors?

The formula of Maximum Moment in Span given Number of Shear Connectors is expressed as 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). Here is an example- 0.09 = (30000*12*0.6)/((25*(0.6-1))+12).

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

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

Can the Maximum Moment in Span given Number of Shear Connectors be negative?

No, the Maximum Moment in Span given Number of Shear Connectors, measured in Moment of Force cannot be negative.

Which unit is used to measure Maximum Moment in Span given Number of Shear Connectors?

Maximum Moment in Span given Number of Shear Connectors is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Maximum Moment in Span given Number of Shear Connectors can be measured.

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Maximum Moment in Span given Number of Shear Connectors Formula

Maximum Moment in Span given Number of Shear Connectors Example

Maximum Moment in Span given Number of Shear Connectors Solution

Maximum Moment in Span given Number of Shear Connectors Formula Elements

Other formulas in Number of Connectors Required for Building Construction category

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

FAQs on Maximum Moment in Span given Number of Shear Connectors

Variable Name