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Ultimate Shear Connector Stress is the maximum strength in shear. Check FAQs
Sultimate=0.4⋅dstud⋅dstud⋅E⋅fc
Sultimate - Ultimate Shear Connector Stress?dstud - Stud Diameter?E - Modulus Elasticity of Concrete?fc - 28 Day Compressive Strength of Concrete?

Ultimate Shear Strength for Welded Studs Example

With values
With units
Only example

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

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

Here is how the Ultimate Shear Strength for Welded Studs equation looks like.

20.0662Edit=0.4⋅64Edit⋅64Edit⋅10Edit⋅15Edit
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Ultimate Shear Strength for Welded Studs Solution

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

FIRST Step Consider the formula
Sultimate=0.4⋅dstud⋅dstud⋅E⋅fc
Next Step Substitute values of Variables
∴ Sultimate=0.4⋅64mm⋅64mm⋅10MPa⋅15MPa
Next Step Convert Units
∴ Sultimate=0.4⋅0.064m⋅0.064m⋅1E+7Pa⋅1.5E+7Pa
Next Step Prepare to Evaluate
∴ Sultimate=0.4⋅0.064⋅0.064⋅1E+7⋅1.5E+7
Next Step Evaluate
∴Sultimate=20066.2199728798N
Next Step Convert to Output's Unit
∴Sultimate=20.0662199728798kN
LAST Step Rounding Answer
∴Sultimate=20.0662kN

Ultimate Shear Strength for Welded Studs Formula Elements

Variables
Functions
Ultimate Shear Connector Stress
Ultimate Shear Connector Stress is the maximum strength in shear.
Symbol: Sultimate
Measurement: ForceUnit: kN
Note: Value can be positive or negative.
Formulas to find Ultimate Shear Connector StressOpen Variable
Stud Diameter
Stud Diameter is the diameter of the Stud used.
Symbol: dstud
Measurement: LengthUnit: mm
Note: Value can be positive or negative.
Formulas to find Stud DiameterOpen Variable
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 ConcreteOpen Variable
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: fc
Measurement: StressUnit: MPa
Note: Value can be positive or negative.
Formulas to find 28 Day Compressive Strength of ConcreteOpen Variable
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 to find Ultimate Shear Connector Stress

​Go Ultimate Shear Connector Strength for Channels
Sultimate=17.4⋅w⋅((fc)0.5)⋅(h+t2)

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

​Go Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels
h=Sultimate17.4⋅w⋅((fc)0.5)-t2
​Go Channel Web Thickness given Ultimate Shear Connector Strength for Channels
t=((Sultimate17.4⋅w⋅fc)-h)⋅2
​Go Channel Length given Ultimate Shear Connector Strength for Channels
w=Sultimate17.4⋅fc⋅(h+t2)
​Go 28-day Compressive Strength of Concrete given Ultimate Shear Connector Strength for Channels
fc=(Sultimate17.4⋅w⋅(h+t2))2

How to Evaluate Ultimate Shear Strength for Welded Studs?

Ultimate Shear Strength for Welded Studs evaluator uses Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete) to evaluate the Ultimate Shear Connector Stress, The Ultimate Shear Strength for Welded Studs formula is defined as maximum design strength at which it will fail when loaded. Ultimate Shear Connector Stress is denoted by Sultimate symbol.

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

FAQs on Ultimate Shear Strength for Welded Studs

What is the formula to find Ultimate Shear Strength for Welded Studs?
The formula of Ultimate Shear Strength for Welded Studs is expressed as Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete). Here is an example- 0.020066 = 0.4*0.064*0.064*sqrt(10000000*15000000).
How to calculate Ultimate Shear Strength for Welded Studs?
With Stud Diameter (dstud), Modulus Elasticity of Concrete (E) & 28 Day Compressive Strength of Concrete (fc) we can find Ultimate Shear Strength for Welded Studs using the formula - Ultimate Shear Connector Stress = 0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Ultimate Shear Connector Stress?
Here are the different ways to Calculate Ultimate Shear Connector Stress-
  • Ultimate Shear Connector Stress=17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2)OpenImg
Can the Ultimate Shear Strength for Welded Studs be negative?
Yes, the Ultimate Shear Strength for Welded Studs, measured in Force can be negative.
Which unit is used to measure Ultimate Shear Strength for Welded Studs?
Ultimate Shear Strength for Welded Studs is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Ultimate Shear Strength for Welded Studs can be measured.
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