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

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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. Check FAQs

E = (\frac{{(\frac{S ultimate}{0.4 \cdot d stud \cdot d stud})}^{2}}{f c})

E - Modulus Elasticity of Concrete?S_ultimate - Ultimate Shear Connector Stress?d_stud - Stud Diameter?f_c - 28 Day Compressive Strength of Concrete?

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

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Here is how the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs equation looks like with Values.

Here is how the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs equation looks like with Units.

Here is how the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs equation looks like.

9.9341 = (\frac{{(\frac{20}{0.4 \cdot 64 \cdot 64})}^{2}}{15})

9.9341MPa = (\frac{{(\frac{20kN}{0.4 \cdot 64mm \cdot 64mm})}^{2}}{15MPa})

9.9341 = (\frac{{(\frac{20}{0.4 \cdot 64 \cdot 64})}^{2}}{15})

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

Follow our step by step solution on how to calculate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

FIRST Step Consider the formula

E = (\frac{{(\frac{S ultimate}{0.4 \cdot d stud \cdot d stud})}^{2}}{f c})

Next Step Substitute values of Variables

∴

E = (\frac{{(\frac{20kN}{0.4 \cdot 64mm \cdot 64mm})}^{2}}{15MPa})

Next Step Convert Units

∴

E = (\frac{{(\frac{20000N}{0.4 \cdot 0.064m \cdot 0.064m})}^{2}}{1.5E+7Pa})

Next Step Prepare to Evaluate

∴

E = (\frac{{(\frac{20000}{0.4 \cdot 0.064 \cdot 0.064})}^{2}}{1.5E+7})

Next Step Evaluate

∴

E = 9934107.4625651Pa

Next Step Convert to Output's Unit

∴

E = 9.9341074625651MPa

LAST Step Rounding Answer

∴

E = 9.9341MPa

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

Variables

Modulus Elasticity of Concrete

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.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus Elasticity of Concrete

Ultimate Shear Connector Stress

Ultimate Shear Connector Stress is the maximum strength in shear.

Symbol: S_ultimate

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Ultimate Shear Connector Stress

Stud Diameter

Stud Diameter is the diameter of the Stud used.

Symbol: d_stud

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Stud Diameter

28 Day Compressive Strength of Concrete

28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find 28 Day Compressive Strength of Concrete

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

Go Ultimate Shear Connector Strength for Channels

S ultimate = 17.4 \cdot w \cdot ({(f c)}^{0.5}) \cdot (h + \frac{t}{2})

Go Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

h = \frac{S ultimate}{17.4 \cdot w \cdot ({(f c)}^{0.5})} - \frac{t}{2}

Go Channel Web Thickness given Ultimate Shear Connector Strength for Channels

t = ((\frac{S ultimate}{17.4 \cdot w \cdot \sqrt{f c}}) - h) \cdot 2

Go Channel Length given Ultimate Shear Connector Strength for Channels

w = \frac{S ultimate}{17.4 \cdot \sqrt{f c} \cdot (h + \frac{t}{2})}

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

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs evaluator uses Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete) to evaluate 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 evaluate Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

The formula of Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs is expressed as Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete). Here is an example- 9.9E-6 = (((20000/(0.4*0.064*0.064))^2)/15000000).

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

With Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & 28 Day Compressive Strength of Concrete (f_c) we can find Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs using the formula - Modulus Elasticity of Concrete = (((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/28 Day Compressive Strength of Concrete).

Can the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs be negative?

No, the Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs, measured in Pressure cannot be negative.

Which unit is used to measure Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs?

Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Elastic Modulus of Concrete given Ultimate Shear Connector Strength for Welded Studs can be measured.

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

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

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

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

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

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

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

Variable Name