Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs Calculator

✖Ultimate Shear Connector Stress is the maximum strength in shear.ⓘ Ultimate Shear Connector Stress [S_ultimate]			+10% -10%
✖Stud Diameter is the diameter of the Stud used.ⓘ Stud Diameter [d_stud]			+10% -10%
✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%

✖Modulus elasticity of concrete is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.ⓘ Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs [E]

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Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete)
E = (((S_ultimate/(0.4*d_stud*d_stud))^2)/f_c)
This formula uses 4 Variables

Variables Used

Modulus Elasticity of Concrete - (Measured in Pascal) - Modulus elasticity of concrete is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Ultimate Shear Connector Stress - (Measured in Newton) - Ultimate Shear Connector Stress is the maximum strength in shear.
Stud Diameter - (Measured in Meter) - Stud Diameter is the diameter of the Stud used.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

STEP 1: Convert Input(s) to Base Unit

Ultimate Shear Connector Stress: 20 Kilonewton --> 20000 Newton (Check conversion here)
Stud Diameter: 64 Millimeter --> 0.064 Meter (Check conversion here)
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (((S_ultimate/(0.4*d_stud*d_stud))^2)/f_c) --> (((20000/(0.4*0.064*0.064))^2)/15000000)

Evaluating ... ...

E = 9934107.4625651

STEP 3: Convert Result to Output's Unit

9934107.4625651 Pascal -->9.9341074625651 Megapascal (Check conversion here)

FINAL ANSWER

9.9341074625651 ≈ 9.934107 Megapascal <-- Modulus Elasticity of Concrete

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Length given Ultimate Shear Connector Strength for Channels

LaTeX Go Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2))

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

LaTeX Go Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2

28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs

LaTeX Go 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete

28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels

LaTeX Go 28 Day Compressive Strength of Concrete = (Ultimate Shear Connector Stress/(17.4*Channel Length*(Average Flange Thickness+Web Thickness/2)))^2

< Ultimate Shear Strength of Connectors in Bridges Calculators

Channel Web Thickness given Ultimate Shear Connector Strength for Channels

LaTeX Go Web Thickness = ((Ultimate Shear Connector Stress/(17.4*Channel Length*sqrt(28 Day Compressive Strength of Concrete)))-Average Flange Thickness)*2

Channel Length given Ultimate Shear Connector Strength for Channels

LaTeX Go Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2))

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

LaTeX Go Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2

Ultimate Shear Connector Strength for Channels

LaTeX Go Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs Formula

LaTeX Go

Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete)
E = (((S_ultimate/(0.4*d_stud*d_stud))^2)/f_c)

What is Elastic Modulus of Concrete?

Modulus of elasticity of concrete is defined as the ratio of the applied stress to the corresponding strain. In other words, it reflects the ability of concrete to deflect elastically. Modulus of elasticity of concrete is sensitive to aggregate and mixture proportions of concrete.

What is Shear Connector?

A Shear connector is a steel projection provided on the top flange of steel composite bridge girders to provide necessary shear transfer between the steel girder and composite slab to enable composite action. The most widely used form of shear connector is the headed stud, or shear stud.

How to Calculate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs calculator uses Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete) to calculate the Modulus Elasticity of Concrete, The Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs formula is defined as the slope of the stress vs strain graph plotted on an equal axis. Modulus Elasticity of Concrete is denoted by E symbol.

How to calculate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs using this online calculator? To use this online calculator for Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs, enter Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & 28 Day Compressive Strength of Concrete (f_c) and hit the calculate button. Here is how the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs calculation can be explained with given input values -> 9.9E-6 = (((20000/(0.4*0.064*0.064))^2)/15000000).

FAQ

What is Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

The Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs formula is defined as the slope of the stress vs strain graph plotted on an equal axis and is represented as E = (((S_ultimate/(0.4*d_stud*d_stud))^2)/f_c) or Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete). Ultimate Shear Connector Stress is the maximum strength in shear, Stud Diameter is the diameter of the Stud used & 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

How to calculate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

The Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs formula is defined as the slope of the stress vs strain graph plotted on an equal axis is calculated using Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete). To calculate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs, you need Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & 28 Day Compressive Strength of Concrete (f_c). With our tool, you need to enter the respective value for Ultimate Shear Connector Stress, Stud Diameter & 28 Day Compressive Strength of Concrete 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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