Ultimate Shear Capacity of Beam Section Calculator

✖The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load.ⓘ Nominal Shear Strength of Concrete [V_c]			+10% -10%
✖Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.ⓘ Nominal Shear Strength by Reinforcement [V_s]			+10% -10%

✖Ultimate Shear Capacity represents the maximum shear strength possessed by the beam section or the structure.ⓘ Ultimate Shear Capacity of Beam Section [V_n]

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Ultimate Shear Capacity of Beam Section

Formula

`"V"_{"n"} = ("V"_{"c"}+"V"_{"s"})`

Example

`"190MPa"=("90MPa"+"100MPa")`

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Download Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement Formulas PDF

Ultimate Shear Capacity of Beam Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
V_n = (V_c+V_s)
This formula uses 3 Variables

Variables Used

Ultimate Shear Capacity - (Measured in Pascal) - Ultimate Shear Capacity represents the maximum shear strength possessed by the beam section or the structure.
Nominal Shear Strength of Concrete - (Measured in Pascal) - The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load.
Nominal Shear Strength by Reinforcement - (Measured in Pascal) - Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.

STEP 1: Convert Input(s) to Base Unit

Nominal Shear Strength of Concrete: 90 Megapascal --> 90000000 Pascal (Check conversion here)
Nominal Shear Strength by Reinforcement: 100 Megapascal --> 100000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_n = (V_c+V_s) --> (90000000+100000000)

Evaluating ... ...

V_n = 190000000

STEP 3: Convert Result to Output's Unit

190000000 Pascal -->190 Megapascal (Check conversion here)

FINAL ANSWER

190 Megapascal <-- Ultimate Shear Capacity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design for Beams and Ultimate Strength for Rectangular Beams with Tension Reinforcement » Shear Reinforcement » Ultimate Shear Capacity of Beam Section

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NSS College of Engineering (NSSCE), Palakkad

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Bhilai Institute of Technology (BIT), Raipur

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< 12 Shear Reinforcement Calculators

Nominal Shear Strength of Concrete

Go Nominal Shear Strength of Concrete = (1.9*sqrt(28 Day Compressive Strength of Concrete)+((2500*Reinforcement Ratio of Web Section)*((Shear Force in considered Section*Centroidal Distance of Tension Reinforcement)/Bending Moment of Considered Section)))*(Width of Beam Web*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Stirrup Spacing in Practical Design

Go Stirrup Area = (Stirrup Spacing)*(Design of Shear Stress-(2*Capacity Reduction Factor*sqrt(28 Day Compressive Strength of Concrete)*Effective Depth of Beam*Breadth of Web))/(Capacity Reduction Factor*Yield Strength of Reinforcement*Effective Depth of Beam)

Stirrup Spacing for Practical Design

Go Stirrup Spacing = (Stirrup Area*Capacity Reduction Factor*Yield Strength of Steel*Effective Depth of Beam)/((Design of Shear Stress)-((2*Capacity Reduction Factor)*sqrt(28 Day Compressive Strength of Concrete)*Breadth of Web*Effective Depth of Beam))

Stirrups area for Inclined Stirrups

Go Stirrup Area = (Strength of Shear Reinforcement*Stirrup Spacing)/((sin(Angle at which Stirrup is inclined)+cos(Angle at which Stirrup is inclined))*Yield Strength of Reinforcement*Effective Depth of Beam)

Area of Steel Required in Vertical Stirrups

Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)

Stirrup Area given Support Angle

Go Stirrup Area = (Strength of Shear Reinforcement)/(Yield Strength of Reinforcement)*sin(Angle at which Stirrup is inclined)

Nominal Reinforcement Shear Strength for Stirrup Area with Support Angle

Go Nominal Shear Strength by Reinforcement = Stirrup Area*Yield Strength of Steel*sin(Angle at which Stirrup is inclined)

Bar Diameter given Development Length for Hooked Bar

Go Bar Diameter = ((Development Length)*(sqrt(28 Day Compressive Strength of Concrete)))/1200

Development Length for Hooked Bar

Go Development Length = (1200*Bar Diameter)/sqrt(28 Day Compressive Strength of Concrete)

Ultimate Shear Capacity of Beam Section

Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)

Nominal Shear Strength Provided by Reinforcement

Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

28 Day Concrete Compressive Strength given Development Length for Hooked Bar

Go 28 Day Compressive Strength of Concrete = ((1200*Bar Diameter)/(Development Length))^2

Ultimate Shear Capacity of Beam Section Formula

Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
V_n = (V_c+V_s)

What is Ultimate Shear Strength?

It is the loading at a section resulting from the failure of a member in shear. Ultimate shear capacity of beam is the capacity which resist these failure loads. It is achieved by the combined strength provided by both concrete and reinforcement within in the section.

What is Shear Reinforcement?

Shear reinforcement are the reinforcements provided in the section, say column or beams, in order to withstand the diagonal stresses. It is given in the form of stirrups, also helps to retain the longitudinal reinforcements in place.

How to Calculate Ultimate Shear Capacity of Beam Section?

Ultimate Shear Capacity of Beam Section calculator uses Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement) to calculate the Ultimate Shear Capacity, The Ultimate Shear Capacity of Beam Section formula is defined as the sum of the nominal shear strength of the concrete Vc and the nominal shear strength provided by the reinforcement Vs. Ultimate Shear Capacity is denoted by V_n symbol.

How to calculate Ultimate Shear Capacity of Beam Section using this online calculator? To use this online calculator for Ultimate Shear Capacity of Beam Section, enter Nominal Shear Strength of Concrete (V_c) & Nominal Shear Strength by Reinforcement (V_s) and hit the calculate button. Here is how the Ultimate Shear Capacity of Beam Section calculation can be explained with given input values -> 0.00019 = (90000000+100000000).

FAQ

What is Ultimate Shear Capacity of Beam Section?

The Ultimate Shear Capacity of Beam Section formula is defined as the sum of the nominal shear strength of the concrete Vc and the nominal shear strength provided by the reinforcement Vs and is represented as V_n = (V_c+V_s) or Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement). The Nominal Shear Strength of Concrete is the capacity of the concrete section to resist the effects of load & Nominal Shear Strength by Reinforcement is the strength or capacity of shear reinforcement to withstand shear or diagonal stresses.

How to calculate Ultimate Shear Capacity of Beam Section?

The Ultimate Shear Capacity of Beam Section formula is defined as the sum of the nominal shear strength of the concrete Vc and the nominal shear strength provided by the reinforcement Vs is calculated using Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement). To calculate Ultimate Shear Capacity of Beam Section, you need Nominal Shear Strength of Concrete (V_c) & Nominal Shear Strength by Reinforcement (V_s). With our tool, you need to enter the respective value for Nominal Shear Strength of Concrete & Nominal Shear Strength by Reinforcement 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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