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Applied Shear at Section for Development Length of Simple Support Formula

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Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force. Check FAQs

V u = \frac{M n}{Ld - La}

V_u - Applied Shear at Section?M_n - Computed Flexural Strength?Ld - Development Length?La - Additional Embedment Length?

Applied Shear at Section for Development Length of Simple Support Example

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Here is how the Applied Shear at Section for Development Length of Simple Support equation looks like with Values.

Here is how the Applied Shear at Section for Development Length of Simple Support equation looks like with Units.

Here is how the Applied Shear at Section for Development Length of Simple Support equation looks like.

33.4 = \frac{10.02}{400 - 100}

33.4N/mm² = \frac{10.02MPa}{400mm - 100mm}

33.4 = \frac{10.02}{400 - 100}

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Applied Shear at Section for Development Length of Simple Support Solution

Follow our step by step solution on how to calculate Applied Shear at Section for Development Length of Simple Support?

FIRST Step Consider the formula

V u = \frac{M n}{Ld - La}

Next Step Substitute values of Variables

∴

V u = \frac{10.02MPa}{400mm - 100mm}

Next Step Convert Units

∴

V u = \frac{1E+7Pa}{0.4m - 0.1m}

Next Step Prepare to Evaluate

∴

V u = \frac{1E+7}{0.4 - 0.1}

Next Step Evaluate

∴

V u = 33400000Pa

LAST Step Convert to Output's Unit

∴

V u = 33.4N/mm²

Applied Shear at Section for Development Length of Simple Support Formula Elements

Variables

Applied Shear at Section

Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.

Symbol: V_u

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Applied Shear at Section

Computed Flexural Strength

Computed Flexural Strength is defined as the stress in a material just before it yields in a flexure test with all reinforcing steel at section stressed to fy.

Symbol: M_n

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Computed Flexural Strength

Development Length

Development Length is the amount of reinforcement or bar length needed to be embedded into the column to establish the desired bond strength between the concrete and steel.

Symbol: Ld

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Development Length

Additional Embedment Length

Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

Symbol: La

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Additional Embedment Length

Other formulas in Development Length Requirements category

Go Basic Development Length for Bars and Wire in Tension

Ld = \frac{0.04 \cdot A b \cdot fy steel}{\sqrt{f c}}

Go Bar Steel Yield Strength given Basic Development Length

fy steel = \frac{Ld \cdot \sqrt{f c}}{0.04 \cdot A b}

Go Basic Development Length for 14mm Diameter Bars

Ld = \frac{0.085 \cdot fy steel}{\sqrt{f c}}

Go Basic Development Length for 18mm Diameter Bars

Ld = \frac{0.125 \cdot fy steel}{\sqrt{f c}}

How to Evaluate Applied Shear at Section for Development Length of Simple Support?

Applied Shear at Section for Development Length of Simple Support evaluator uses Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length) to evaluate the Applied Shear at Section, The Applied shear at section for development length of simple support is defined as the strength against the structural failure when the material fails in shear. Applied Shear at Section is denoted by V_u symbol.

How to evaluate Applied Shear at Section for Development Length of Simple Support using this online evaluator? To use this online evaluator for Applied Shear at Section for Development Length of Simple Support, enter Computed Flexural Strength (M_n), Development Length (Ld) & Additional Embedment Length (La) and hit the calculate button.

FAQs on Applied Shear at Section for Development Length of Simple Support

What is the formula to find Applied Shear at Section for Development Length of Simple Support?

The formula of Applied Shear at Section for Development Length of Simple Support is expressed as Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length). Here is an example- 0.000167 = (10020000)/(0.4-0.1).

How to calculate Applied Shear at Section for Development Length of Simple Support?

With Computed Flexural Strength (M_n), Development Length (Ld) & Additional Embedment Length (La) we can find Applied Shear at Section for Development Length of Simple Support using the formula - Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length).

Can the Applied Shear at Section for Development Length of Simple Support be negative?

No, the Applied Shear at Section for Development Length of Simple Support, measured in Pressure cannot be negative.

Which unit is used to measure Applied Shear at Section for Development Length of Simple Support?

Applied Shear at Section for Development Length of Simple Support is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Applied Shear at Section for Development Length of Simple Support can be measured.

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Applied Shear at Section for Development Length of Simple Support Formula

Applied Shear at Section for Development Length of Simple Support Example

Applied Shear at Section for Development Length of Simple Support Solution

Applied Shear at Section for Development Length of Simple Support Formula Elements

Other formulas in Development Length Requirements category

How to Evaluate Applied Shear at Section for Development Length of Simple Support?

FAQs on Applied Shear at Section for Development Length of Simple Support

Variable Name