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

Go28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels Formula

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

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

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

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

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Here is how the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs equation looks like with Values.

Here is how the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs equation looks like with Units.

Here is how the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs equation looks like.

14.9012 = \frac{{(\frac{20}{0.4 \cdot 64 \cdot 64})}^{2}}{10}

14.9012MPa = \frac{{(\frac{20kN}{0.4 \cdot 64mm \cdot 64mm})}^{2}}{10MPa}

14.9012 = \frac{{(\frac{20}{0.4 \cdot 64 \cdot 64})}^{2}}{10}

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

Follow our step by step solution on how to calculate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f c = \frac{{(\frac{20kN}{0.4 \cdot 64mm \cdot 64mm})}^{2}}{10MPa}

Next Step Convert Units

∴

f c = \frac{{(\frac{20000N}{0.4 \cdot 0.064m \cdot 0.064m})}^{2}}{1E+7Pa}

Next Step Prepare to Evaluate

∴

f c = \frac{{(\frac{20000}{0.4 \cdot 0.064 \cdot 0.064})}^{2}}{1E+7}

Next Step Evaluate

∴

f c = 14901161.1938477Pa

Next Step Convert to Output's Unit

∴

f c = 14.9011611938477MPa

LAST Step Rounding Answer

∴

f c = 14.9012MPa

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

Variables

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

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

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

Other Formulas to find 28 Day Compressive Strength of Concrete

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

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

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

28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs evaluator uses 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete to evaluate the 28 Day Compressive Strength of Concrete, The 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs formula is defined as strength gained by concrete after 28 days of curing. 28 Day Compressive Strength of Concrete is denoted by f_c symbol.

How to evaluate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs using this online evaluator? To use this online evaluator for 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs, enter Ultimate Shear Connector Stress (S_ultimate), Stud Diameter (d_stud) & Modulus Elasticity of Concrete (E) and hit the calculate button.

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

What is the formula to find 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

The formula of 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs is expressed as 28 Day Compressive Strength of Concrete = ((Ultimate Shear Connector Stress/(0.4*Stud Diameter*Stud Diameter))^2)/Modulus Elasticity of Concrete. Here is an example- 1.5E-5 = ((20000/(0.4*0.064*0.064))^2)/10000000.

How to calculate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

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

What are the other ways to Calculate 28 Day Compressive Strength of Concrete?

Here are the different ways to Calculate 28 Day Compressive Strength of Concrete-

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

Can the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs be negative?

Yes, the 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs, measured in Stress can be negative.

Which unit is used to measure 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs can be measured.

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

​Go28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels Formula

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

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

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

Other Formulas to find 28 Day Compressive Strength of Concrete

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

How to Evaluate 28-day Compressive Strength given Ultimate Shear Connector Strength for Welded Studs?

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

Variable Name

Go28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels Formula