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)
Vn = (Vc+Vs)
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
Vn = (Vc+Vs) --> (90000000+100000000)
Evaluating ... ...
Vn = 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 00.020 seconds)

Credits

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Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Verified by Himanshi Sharma
Bhilai Institute of Technology (BIT), Raipur
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Shear Reinforcement Calculators

Nominal Shear Strength of Concrete
​ LaTeX ​ 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)
Area of Steel Required in Vertical Stirrups
​ LaTeX ​ Go Area of Steel required = (Nominal Shear Strength by Reinforcement*Stirrup Spacing)/(Yield Strength of Steel*Centroidal Distance of Tension Reinforcement)
Ultimate Shear Capacity of Beam Section
​ LaTeX ​ Go Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
Nominal Shear Strength Provided by Reinforcement
​ LaTeX ​ Go Nominal Shear Strength by Reinforcement = Ultimate Shear Capacity-Nominal Shear Strength of Concrete

Ultimate Shear Capacity of Beam Section Formula

​LaTeX ​Go
Ultimate Shear Capacity = (Nominal Shear Strength of Concrete+Nominal Shear Strength by Reinforcement)
Vn = (Vc+Vs)

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 Vn 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 (Vc) & Nominal Shear Strength by Reinforcement (Vs) 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 Vn = (Vc+Vs) 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 (Vc) & Nominal Shear Strength by Reinforcement (Vs). 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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