Concrete Strength given Shear Force Calculator

✖Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.ⓘ Design Horizontal Length [d]			+10% -10%
✖Overall Thickness of Wall is the wall thickness in millimeters.ⓘ Overall Thickness of Wall [h]			+10% -10%
✖Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement.ⓘ Shear carried by Concrete [V_c]			+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%

✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Concrete Strength given Shear Force [f'_c]

⎘ Copy

👎

Formula

✖

Concrete Strength given Shear Force

Formula

`"f'"_{"c"} = ((1/(3.3*"d"*"h"))*("V"_{"c"}+(("N"_{"u"}*"d")/(4*"l"_{"w"}))))^2`

Example

`"52.89256MPa"=((1/(3.3*"2500mm"*"200mm"))*("6N"+(("30N"*"2500mm")/(4*"3125mm"))))^2`

Calculator

LaTeX

Reset

👍

Download Frames and Flat Plate Formulas PDF

Concrete Strength given Shear Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
f'_c = ((1/(3.3*d*h))*(V_c+((N_u*d)/(4*l_w))))^2
This formula uses 6 Variables

Variables Used

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.
Design Horizontal Length - (Measured in Meter) - Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd'.
Overall Thickness of Wall - (Measured in Meter) - Overall Thickness of Wall is the wall thickness in millimeters.
Shear carried by Concrete - (Measured in Newton) - Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement.
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

Design Horizontal Length: 2500 Millimeter --> 2.5 Meter (Check conversion here)
Overall Thickness of Wall: 200 Millimeter --> 0.2 Meter (Check conversion here)
Shear carried by Concrete: 6 Newton --> 6 Newton No Conversion Required
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

f'_c = ((1/(3.3*d*h))*(V_c+((N_u*d)/(4*l_w))))^2 --> ((1/(3.3*2.5*0.2))*(6+((30*2.5)/(4*3.125))))^2

Evaluating ... ...

f'_c = 52.8925619834711

STEP 3: Convert Result to Output's Unit

52892561.9834711 Pascal -->52.892561983471 Megapascal (Check conversion here)

FINAL ANSWER

52.892561983471 ≈ 52.89256 Megapascal <-- Specified 28-Day Compressive Strength of Concrete

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Concrete Formulas » Frames and Flat Plate » Braced and Unbraced Frames » Shear Walls » Concrete Strength given Shear Force

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ 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))

Concrete Strength given Shear Force Formula

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.

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.

How to Calculate Concrete Strength given Shear Force?

Concrete Strength given Shear Force calculator uses 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 to calculate the Specified 28-Day Compressive Strength of Concrete, The Concrete Strength given Shear Force formula is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall. Specified 28-Day Compressive Strength of Concrete is denoted by f'_c symbol.

How to calculate Concrete Strength given Shear Force using this online calculator? To use this online calculator for Concrete Strength given Shear Force, enter Design Horizontal Length (d), Overall Thickness of Wall (h), Shear carried by Concrete (V_c), Design Axial Load (N_u) & Horizontal Length of Wall (l_w) and hit the calculate button. Here is how the Concrete Strength given Shear Force calculation can be explained with given input values -> 5.3E-5 = ((1/(3.3*2.5*0.2))*(6+((30*2.5)/(4*3.125))))^2.

FAQ

What is Concrete Strength given Shear Force?

The Concrete Strength given Shear Force formula is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall and is represented as f'_c = ((1/(3.3*d*h))*(V_c+((N_u*d)/(4*l_w))))^2 or 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. Design Horizontal Length of wall is 0.8 times the horizontal length of the wall denoted by 'd', Overall Thickness of Wall is the wall thickness in millimeters, Shear carried by Concrete is the amount of shear that the concrete can carry without reinforcement, 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 Concrete Strength given Shear Force?

The Concrete Strength given Shear Force formula is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall is calculated using 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. To calculate Concrete Strength given Shear Force, you need Design Horizontal Length (d), Overall Thickness of Wall (h), Shear carried by Concrete (V_c), Design Axial Load (N_u) & Horizontal Length of Wall (l_w). With our tool, you need to enter the respective value for Design Horizontal Length, Overall Thickness of Wall, Shear carried by Concrete, 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.

Home

FREE PDFs

🔍 Search