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Ultimate Shear Connector Strength for Channels Formula

GoUltimate Shear Strength for Welded Studs Formula

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Ultimate Shear Connector Stress is the maximum strength in shear. Check FAQs

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

S_ultimate - Ultimate Shear Connector Stress?w - Channel Length?f_c - 28 Day Compressive Strength of Concrete?h - Average Flange Thickness?t - Web Thickness?

Ultimate Shear Connector Strength for Channels Example

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Here is how the Ultimate Shear Connector Strength for Channels equation looks like with Values.

Here is how the Ultimate Shear Connector Strength for Channels equation looks like with Units.

Here is how the Ultimate Shear Connector Strength for Channels equation looks like.

20.0148 = 17.4 \cdot 1500 \cdot ({(15)}^{0.5}) \cdot (188 + \frac{20}{2})

20.0148kN = 17.4 \cdot 1500mm \cdot ({(15MPa)}^{0.5}) \cdot (188mm + \frac{20mm}{2})

20.0148 = 17.4 \cdot 1500 \cdot ({(15)}^{0.5}) \cdot (188 + \frac{20}{2})

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Ultimate Shear Connector Strength for Channels Solution

Follow our step by step solution on how to calculate Ultimate Shear Connector Strength for Channels?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S ultimate = 17.4 \cdot 1500mm \cdot ({(15MPa)}^{0.5}) \cdot (188mm + \frac{20mm}{2})

Next Step Convert Units

∴

S ultimate = 17.4 \cdot 1.5m \cdot ({(1.5E+7Pa)}^{0.5}) \cdot (0.188m + \frac{0.02m}{2})

Next Step Prepare to Evaluate

∴

S ultimate = 17.4 \cdot 1.5 \cdot ({(1.5E+7)}^{0.5}) \cdot (0.188 + \frac{0.02}{2})

Next Step Evaluate

∴

S ultimate = 20014.8033365307N

Next Step Convert to Output's Unit

∴

S ultimate = 20.0148033365307kN

LAST Step Rounding Answer

∴

S ultimate = 20.0148kN

Ultimate Shear Connector Strength for Channels Formula Elements

Variables

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

Channel Length

Channel Length is the length of channel of steel beam I section between two flanges.

Symbol: w

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Channel Length

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

Average Flange Thickness

The average flange thickness is the thickness of flange of steel beam I section.

Symbol: h

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Average Flange Thickness

Web Thickness

Web Thickness is the thickness of the web of the I-section of any beam or column which is between the flanges.

Symbol: t

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Web Thickness

Other Formulas to find Ultimate Shear Connector Stress

Go Ultimate Shear Strength for Welded Studs

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

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

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})}

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}

How to Evaluate Ultimate Shear Connector Strength for Channels?

Ultimate Shear Connector Strength for Channels evaluator uses Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2) to evaluate the Ultimate Shear Connector Stress, The Ultimate Shear Connector Strength for Channels formula is defined as maximum stress at which connector will fail in shear. Ultimate Shear Connector Stress is denoted by S_ultimate symbol.

How to evaluate Ultimate Shear Connector Strength for Channels using this online evaluator? To use this online evaluator for Ultimate Shear Connector Strength for Channels, enter Channel Length (w), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t) and hit the calculate button.

FAQs on Ultimate Shear Connector Strength for Channels

What is the formula to find Ultimate Shear Connector Strength for Channels?

The formula of Ultimate Shear Connector Strength for Channels is expressed as Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2). Here is an example- 0.016174 = 17.4*1.5*((15000000)^0.5)*(0.188+0.02/2).

How to calculate Ultimate Shear Connector Strength for Channels?

With Channel Length (w), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t) we can find Ultimate Shear Connector Strength for Channels using the formula - Ultimate Shear Connector Stress = 17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5)*(Average Flange Thickness+Web Thickness/2).

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=0.4*Stud Diameter*Stud Diameter*sqrt(Modulus Elasticity of Concrete*28 Day Compressive Strength of Concrete)

Can the Ultimate Shear Connector Strength for Channels be negative?

Yes, the Ultimate Shear Connector Strength for Channels, measured in Force can be negative.

Which unit is used to measure Ultimate Shear Connector Strength for Channels?

Ultimate Shear Connector Strength for Channels is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Ultimate Shear Connector Strength for Channels can be measured.

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Ultimate Shear Connector Strength for Channels Formula

​GoUltimate Shear Strength for Welded Studs Formula

Ultimate Shear Connector Strength for Channels Example

Ultimate Shear Connector Strength for Channels Solution

Ultimate Shear Connector Strength for Channels Formula Elements

Other Formulas to find Ultimate Shear Connector Stress

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

How to Evaluate Ultimate Shear Connector Strength for Channels?

FAQs on Ultimate Shear Connector Strength for Channels

Variable Name

GoUltimate Shear Strength for Welded Studs Formula