Applied Shear at Section for Development Length of Simple Support Calculator

✖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.ⓘ Computed Flexural Strength [M_n]			+10% -10%
✖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.ⓘ Development Length [Ld]			+10% -10%
✖Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.ⓘ Additional Embedment Length [La]			+10% -10%

✖Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.ⓘ Applied Shear at Section for Development Length of Simple Support [V_u]

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Formula

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Applied Shear at Section for Development Length of Simple Support

Formula

`"V"_{"u"} = ("M"_{"n"})/("Ld"-"La")`

Example

`"33.4N/mm²"=("10.02MPa")/("400mm"-"100mm")`

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Applied Shear at Section for Development Length of Simple Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length)
V_u = (M_n)/(Ld-La)
This formula uses 4 Variables

Variables Used

Applied Shear at Section - (Measured in Pascal) - Applied Shear at Section of a reinforced concrete beam is a result of the dowel force, aggregate interlock, and shear compression force.
Computed Flexural Strength - (Measured in Pascal) - 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.
Development Length - (Measured in Meter) - 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.
Additional Embedment Length - (Measured in Meter) - Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

STEP 1: Convert Input(s) to Base Unit

Computed Flexural Strength: 10.02 Megapascal --> 10020000 Pascal (Check conversion here)
Development Length: 400 Millimeter --> 0.4 Meter (Check conversion here)
Additional Embedment Length: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_u = (M_n)/(Ld-La) --> (10020000)/(0.4-0.1)

Evaluating ... ...

V_u = 33400000

STEP 3: Convert Result to Output's Unit

33400000 Pascal -->33.4 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

33.4 Newton per Square Millimeter <-- Applied Shear at Section

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Curtailment of Flexural Tension Reinforcement » Development Length Requirements » Applied Shear at Section for Development Length of Simple Support

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Coorg Institute of Technology (CIT), Coorg

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< 7 Development Length Requirements Calculators

Bar Steel Yield Strength given Basic Development Length

Go Yield Strength of Steel = (Development Length*sqrt(28 Day Compressive Strength of Concrete))/(0.04*Area of Bar)

Basic Development Length for Bars and Wire in Tension

Go Development Length = (0.04*Area of Bar*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Computed Flexural Strength given Development Length for Simple Support

Go Computed Flexural Strength = (Applied Shear at Section)*(Development Length-Additional Embedment Length)

Applied Shear at Section for Development Length of Simple Support

Go Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length)

Development Length for simple Support

Go Development Length = (Computed Flexural Strength/Applied Shear at Section)+(Additional Embedment Length)

Basic Development Length for 14mm Diameter Bars

Go Development Length = (0.085*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Basic Development Length for 18mm Diameter Bars

Go Development Length = (0.125*Yield Strength of Steel)/sqrt(28 Day Compressive Strength of Concrete)

Applied Shear at Section for Development Length of Simple Support Formula

Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length)
V_u = (M_n)/(Ld-La)

What is Shear Strength?

Shear Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.

What is the Difference between Shear Strength and Shear Stress?

Shear stress changes in relation to the amount of shear load applied to a material per unit area. Whereas, shear strength is a fixed and definite value in the general nature of a material.

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

Applied Shear at Section for Development Length of Simple Support calculator uses Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length) to calculate 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 calculate Applied Shear at Section for Development Length of Simple Support using this online calculator? To use this online calculator 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. Here is how the Applied Shear at Section for Development Length of Simple Support calculation can be explained with given input values -> 0.000167 = (10020000)/(0.4-0.1).

FAQ

What is Applied Shear at Section for Development Length of Simple Support?

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 and is represented as V_u = (M_n)/(Ld-La) or Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length). 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, 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 & Additional Embedment Length is the length of embedded steel reinforcement provided beyond a critical section, beyond inflection point or center of support.

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

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 is calculated using Applied Shear at Section = (Computed Flexural Strength)/(Development Length-Additional Embedment Length). To calculate Applied Shear at Section for Development Length of Simple Support, you need Computed Flexural Strength (M_n), Development Length (Ld) & Additional Embedment Length (La). With our tool, you need to enter the respective value for Computed Flexural Strength, Development Length & Additional Embedment Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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