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Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Formula

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Stud Diameter is the diameter of the Stud used. Check FAQs

d stud = \sqrt{\frac{S ultimate}{0.4 \cdot \sqrt{E \cdot f c}}}

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

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Example

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

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

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

63.8943 = \sqrt{\frac{20}{0.4 \cdot \sqrt{10 \cdot 15}}}

63.8943mm = \sqrt{\frac{20kN}{0.4 \cdot \sqrt{10MPa \cdot 15MPa}}}

63.8943 = \sqrt{\frac{20}{0.4 \cdot \sqrt{10 \cdot 15}}}

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Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Solution

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

FIRST Step Consider the formula

d stud = \sqrt{\frac{S ultimate}{0.4 \cdot \sqrt{E \cdot f c}}}

Next Step Substitute values of Variables

∴

d stud = \sqrt{\frac{20kN}{0.4 \cdot \sqrt{10MPa \cdot 15MPa}}}

Next Step Convert Units

∴

d stud = \sqrt{\frac{20000N}{0.4 \cdot \sqrt{1E+7Pa \cdot 1.5E+7Pa}}}

Next Step Prepare to Evaluate

∴

d stud = \sqrt{\frac{20000}{0.4 \cdot \sqrt{1E+7 \cdot 1.5E+7}}}

Next Step Evaluate

∴

d stud = 0.0638943104246272m

Next Step Convert to Output's Unit

∴

d stud = 63.8943104246272mm

LAST Step Rounding Answer

∴

d stud = 63.8943mm

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Formula Elements

Variables

Functions

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

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

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

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

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.

Syntax: sqrt(Number)

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 Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs evaluator uses Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))) to evaluate the Stud Diameter, The Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs formula is defined as the dimension of the member used. Stud Diameter is denoted by d_stud symbol.

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

FAQs on Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs

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

The formula of Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs is expressed as Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))). Here is an example- 63894.31 = sqrt(20000/(0.4*sqrt(10000000*15000000))).

How to calculate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?

With Ultimate Shear Connector Stress (S_ultimate), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (f_c) we can find Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs using the formula - Stud Diameter = sqrt(Ultimate Shear Connector Stress/(0.4*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete))). This formula also uses Square Root (sqrt) function(s).

Can the Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs be negative?

Yes, the Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs, measured in Length can be negative.

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

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs can be measured.

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Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Formula

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Example

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Solution

Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs Formula Elements

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

How to Evaluate Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs?

FAQs on Diameter of Connector given Ultimate Shear Connector Strength for Welded Studs

Variable Name