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Horizontal Shear Range at Juncture of Slab and Beam Formula

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The horizontal shear range at the juncture of the slab and beam at point under consideration. Check FAQs

S r = \frac{V r \cdot Q}{I h}

S_r - Horizontal Shear Range?V_r - Shear Range?Q - Static Moment?I_h - Moment of Inertia of Transformed Section?

Horizontal Shear Range at Juncture of Slab and Beam Example

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Here is how the Horizontal Shear Range at Juncture of Slab and Beam equation looks like with Values.

Here is how the Horizontal Shear Range at Juncture of Slab and Beam equation looks like with Units.

Here is how the Horizontal Shear Range at Juncture of Slab and Beam equation looks like.

6.4 = \frac{80 \cdot 10}{125}

6.4kN/mm = \frac{80kN \cdot 10mm³}{125mm⁴}

6.4 = \frac{80 \cdot 10}{125}

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Horizontal Shear Range at Juncture of Slab and Beam Solution

Follow our step by step solution on how to calculate Horizontal Shear Range at Juncture of Slab and Beam?

FIRST Step Consider the formula

S r = \frac{V r \cdot Q}{I h}

Next Step Substitute values of Variables

∴

S r = \frac{80kN \cdot 10mm³}{125mm⁴}

Next Step Prepare to Evaluate

∴

S r = \frac{80 \cdot 10}{125}

Next Step Evaluate

∴

S r = 6400000N/m

LAST Step Convert to Output's Unit

∴

S r = 6.4kN/mm

Horizontal Shear Range at Juncture of Slab and Beam Formula Elements

Variables

Horizontal Shear Range

The horizontal shear range at the juncture of the slab and beam at point under consideration.

Symbol: S_r

Measurement: Shear RangeUnit: kN/mm

Note: Value should be greater than 0.

Formulas to find Horizontal Shear Range

Shear Range

The Shear Range here is the difference between minimum and maximum shears at the point due to live load and impact.

Symbol: V_r

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Range

Static Moment

Static Moment of transformed compressive concrete area about neutral axis of transformed section.

Symbol: Q

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Static Moment

Moment of Inertia of Transformed Section

Moment of Inertia of Transformed Section is a particularly important parameter for the analysis of beams and columns.

Symbol: I_h

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Transformed Section

Other formulas in Shear Range category

Go Shear Range due to Live and Impact Load given Horizontal Shear Range

V r = \frac{S r \cdot I h}{Q}

Go Static Moment of Transformed Section given Horizontal Shear Range

Q = \frac{S r \cdot I h}{V r}

Go Moment of Inertia of Transformed Section given Horizontal Shear Range

I h = \frac{Q \cdot V r}{S r}

Go Allowable Horizontal Shear for Welded Studs for 100,000 Cycles

Z r = 13.0 \cdot (d^{2})

How to Evaluate Horizontal Shear Range at Juncture of Slab and Beam?

Horizontal Shear Range at Juncture of Slab and Beam evaluator uses Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section to evaluate the Horizontal Shear Range, The Horizontal Shear Range at juncture of Slab and Beam is defined as shear stress for which shear connectors in bridges are designed for fatigue. Horizontal Shear Range is denoted by S_r symbol.

How to evaluate Horizontal Shear Range at Juncture of Slab and Beam using this online evaluator? To use this online evaluator for Horizontal Shear Range at Juncture of Slab and Beam, enter Shear Range (V_r), Static Moment (Q) & Moment of Inertia of Transformed Section (I_h) and hit the calculate button.

FAQs on Horizontal Shear Range at Juncture of Slab and Beam

What is the formula to find Horizontal Shear Range at Juncture of Slab and Beam?

The formula of Horizontal Shear Range at Juncture of Slab and Beam is expressed as Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section. Here is an example- 6.4E-6 = (80000*1E-08)/1.25E-10.

How to calculate Horizontal Shear Range at Juncture of Slab and Beam?

With Shear Range (V_r), Static Moment (Q) & Moment of Inertia of Transformed Section (I_h) we can find Horizontal Shear Range at Juncture of Slab and Beam using the formula - Horizontal Shear Range = (Shear Range*Static Moment)/Moment of Inertia of Transformed Section.

Can the Horizontal Shear Range at Juncture of Slab and Beam be negative?

No, the Horizontal Shear Range at Juncture of Slab and Beam, measured in Shear Range cannot be negative.

Which unit is used to measure Horizontal Shear Range at Juncture of Slab and Beam?

Horizontal Shear Range at Juncture of Slab and Beam is usually measured using the Kilonewton per Millimeter[kN/mm] for Shear Range. Newton per Meter[kN/mm] are the few other units in which Horizontal Shear Range at Juncture of Slab and Beam can be measured.

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Horizontal Shear Range at Juncture of Slab and Beam Formula

Horizontal Shear Range at Juncture of Slab and Beam Example

Horizontal Shear Range at Juncture of Slab and Beam Solution

Horizontal Shear Range at Juncture of Slab and Beam Formula Elements

Other formulas in Shear Range category

How to Evaluate Horizontal Shear Range at Juncture of Slab and Beam?

FAQs on Horizontal Shear Range at Juncture of Slab and Beam

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