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

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

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

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

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

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Here is how the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels equation looks like with Values.

Here is how the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels equation looks like with Units.

Here is how the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels equation looks like.

187.8536 = \frac{20}{17.4 \cdot 1500 \cdot ({(15)}^{0.5})} - \frac{20}{2}

187.8536mm = \frac{20kN}{17.4 \cdot 1500mm \cdot ({(15MPa)}^{0.5})} - \frac{20mm}{2}

187.8536 = \frac{20}{17.4 \cdot 1500 \cdot ({(15)}^{0.5})} - \frac{20}{2}

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

Follow our step by step solution on how to calculate Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{20kN}{17.4 \cdot 1500mm \cdot ({(15MPa)}^{0.5})} - \frac{20mm}{2}

Next Step Convert Units

∴

h = \frac{20000N}{17.4 \cdot 1.5m \cdot ({(1.5E+7Pa)}^{0.5})} - \frac{0.02m}{2}

Next Step Prepare to Evaluate

∴

h = \frac{20000}{17.4 \cdot 1.5 \cdot ({(1.5E+7)}^{0.5})} - \frac{0.02}{2}

Next Step Evaluate

∴

h = 0.187853555361809m

Next Step Convert to Output's Unit

∴

h = 187.853555361809mm

LAST Step Rounding Answer

∴

h = 187.8536mm

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels Formula Elements

Variables

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

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

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

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels evaluator uses Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2 to evaluate the Average Flange Thickness, The Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels formula is defined as the thickness of the flange plate of the connector used in the design of bridges. Average Flange Thickness is denoted by h symbol.

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

FAQs on Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

What is the formula to find Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

The formula of Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels is expressed as Average Flange Thickness = Ultimate Shear Connector Stress/(17.4*Channel Length*((28 Day Compressive Strength of Concrete)^0.5))-Web Thickness/2. Here is an example- 187853.6 = 20000/(17.4*1.5*((15000000)^0.5))-0.02/2.

How to calculate Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

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

Can the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels be negative?

Yes, the Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels, measured in Length can be negative.

Which unit is used to measure Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels can be measured.

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

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

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

Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels Formula Elements

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

How to Evaluate Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels?

FAQs on Average Channel Flange Thickness given Ultimate Shear Connector Strength for Channels

Variable Name