Shear carried by Concrete Calculator

✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%
✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+10% -10%
✖Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.ⓘ Design Horizontal Length [d]			+10% -10%
✖Design Axial Load is those that can withstand a force in the same direction as the axis, also known as thrust loading.ⓘ Design Axial Load [N_u]			+10% -10%
✖Horizontal Length of Wall is the length of a wall in the horizontal direction.ⓘ Horizontal Length of Wall [l_w]			+10% -10%

✖Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement.ⓘ Shear carried by Concrete [V_c]

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Formula

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Shear carried by Concrete

Formula

`"V"_{"c"} = 3.3*sqrt("f'"_{"c"})*"h"*"d"-(("N"_{"u"}*"d")/(4*"l"_{"w"}))`

Example

`"5.667262N"=3.3*sqrt("50MPa")*"200mm"*"2500mm"-(("30N"*"2500mm")/(4*"3125mm"))`

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Shear carried by Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))
V_c = 3.3*sqrt(f'_c)*h*d-((N_u*d)/(4*l_w))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Shear carried by Concrete - (Measured in Newton) - Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement.
Specified 28-Day Compressive Strength of Concrete - (Measured in Megapascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
Design Horizontal Length - (Measured in Meter) - Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.
Design Axial Load - (Measured in Newton) - Design Axial Load is those that can withstand a force in the same direction as the axis, also known as thrust loading.
Horizontal Length of Wall - (Measured in Meter) - Horizontal Length of Wall is the length of a wall in the horizontal direction.

STEP 1: Convert Input(s) to Base Unit

Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50 Megapascal No Conversion Required
Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)
Design Horizontal Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)
Design Axial Load: 30 Newton --> 30 Newton No Conversion Required
Horizontal Length of Wall: 3125 Millimeter --> 3.125 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = 3.3*sqrt(f'_c)*h*d-((N_u*d)/(4*l_w)) --> 3.3*sqrt(50)*0.2*2.5-((30*2.5)/(4*3.125))

Evaluating ... ...

V_c = 5.66726188957804

STEP 3: Convert Result to Output's Unit

5.66726188957804 Newton --> No Conversion Required

FINAL ANSWER

5.66726188957804 ≈ 5.667262 Newton <-- Shear carried by Concrete

(Calculation completed in 00.004 seconds)

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Credits

Created by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has created this Calculator and 50+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 8 Shear Walls Calculators

Shear carried by Concrete

Go Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))

Concrete Strength given Shear Force

Go Specified 28-Day Compressive Strength of Concrete = ((1/(3.3*Design Horizontal Length*Overall Thickness of Wall))*(Shear carried by Concrete+((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall))))^2

Maximum Shear Strength

Go Shear Strength = 10*Overall Thickness of Wall*0.8*Horizontal Length of Wall*sqrt(Specified 28-Day Compressive Strength of Concrete)

Nominal Shear Stress

Go Nominal Shear Stress = (Total Shear/(Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length))

Wall Overall Thickness given Nominal Shear Stress

Go Overall Thickness of Wall = Total Shear/(Capacity Reduction Factor*Nominal Shear Stress*Design Horizontal Length)

Wall Horizontal Length given Nominal Shear Stress

Go Design Horizontal Length = Total Shear/(Overall Thickness of Wall*Capacity Reduction Factor*Nominal Shear Stress)

Total Design Shear Force given Nominal Shear Stress

Go Total Shear = Nominal Shear Stress*Capacity Reduction Factor*Overall Thickness of Wall*Design Horizontal Length

Minimum Horizontal Reinforcement

Go Horizontal Reinforcement = 0.0025+0.5*(2.5-(Total Height of Wall/Horizontal Length of Wall))

Shear carried by Concrete Formula

What is Shear Strength?

In engineering, 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. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

What is Characteristics Compressive Strength?

The characteristic strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall. For design purposes, this compressive strength value is restricted by dividing with a factor of safety, whose value depends on the design philosophy used.

How to Calculate Shear carried by Concrete?

Shear carried by Concrete calculator uses Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall)) to calculate the Shear carried by Concrete, The Shear carried by Concrete formula is defined as the amount of shear concrete carried depending on whether the design axial load is normal to the wall's horizontal cross-section or perpendicular to the wall's horizontal cross-section. Shear carried by Concrete is denoted by V_c symbol.

How to calculate Shear carried by Concrete using this online calculator? To use this online calculator for Shear carried by Concrete, enter Specified 28-Day Compressive Strength of Concrete (f'_c), Overall Thickness of Wall (h), Design Horizontal Length (d), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) and hit the calculate button. Here is how the Shear carried by Concrete calculation can be explained with given input values -> 5.667262 = 3.3*sqrt(50000000)*0.2*2.5-((30*2.5)/(4*3.125)).

FAQ

What is Shear carried by Concrete?

The Shear carried by Concrete formula is defined as the amount of shear concrete carried depending on whether the design axial load is normal to the wall's horizontal cross-section or perpendicular to the wall's horizontal cross-section and is represented as V_c = 3.3*sqrt(f'_c)*h*d-((N_u*d)/(4*l_w)) or Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall)). Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed, Overall Thickness of Wall is the wall thickness in millimeters, Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd', Design Axial Load is those that can withstand a force in the same direction as the axis, also known as thrust loading & Horizontal Length of Wall is the length of a wall in the horizontal direction.

How to calculate Shear carried by Concrete?

The Shear carried by Concrete formula is defined as the amount of shear concrete carried depending on whether the design axial load is normal to the wall's horizontal cross-section or perpendicular to the wall's horizontal cross-section is calculated using Shear carried by Concrete = 3.3*sqrt(Specified 28-Day Compressive Strength of Concrete)*Overall Thickness of Wall*Design Horizontal Length-((Design Axial Load*Design Horizontal Length)/(4*Horizontal Length of Wall)). To calculate Shear carried by Concrete, you need Specified 28-Day Compressive Strength of Concrete (f'_c), Overall Thickness of Wall (h), Design Horizontal Length (d), Design Axial Load (N_u) & Horizontal Length of Wall (l_w). With our tool, you need to enter the respective value for Specified 28-Day Compressive Strength of Concrete, Overall Thickness of Wall, Design Horizontal Length, Design Axial Load & Horizontal Length of Wall 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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