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Channel Length given Ultimate Shear Connector Strength for Channels Formula

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

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

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

Channel Length given Ultimate Shear Connector Strength for Channels Example

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

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

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

1498.8906 = \frac{20}{17.4 \cdot \sqrt{15} \cdot (188 + \frac{20}{2})}

1498.8906mm = \frac{20kN}{17.4 \cdot \sqrt{15MPa} \cdot (188mm + \frac{20mm}{2})}

1498.8906 = \frac{20}{17.4 \cdot \sqrt{15} \cdot (188 + \frac{20}{2})}

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Channel Length given Ultimate Shear Connector Strength for Channels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \frac{20kN}{17.4 \cdot \sqrt{15MPa} \cdot (188mm + \frac{20mm}{2})}

Next Step Convert Units

∴

w = \frac{20000N}{17.4 \cdot \sqrt{1.5E+7Pa} \cdot (0.188m + \frac{0.02m}{2})}

Next Step Prepare to Evaluate

∴

w = \frac{20000}{17.4 \cdot \sqrt{1.5E+7} \cdot (0.188 + \frac{0.02}{2})}

Next Step Evaluate

∴

w = 1.4988905709228m

Next Step Convert to Output's Unit

∴

w = 1498.8905709228mm

LAST Step Rounding Answer

∴

w = 1498.8906mm

Channel Length given Ultimate Shear Connector Strength for Channels Formula Elements

Variables

Functions

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

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

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

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 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 Channel Length given Ultimate Shear Connector Strength for Channels?

Channel Length given Ultimate Shear Connector Strength for Channels evaluator uses Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)) to evaluate the Channel Length, The Channel Length given Ultimate Shear Connector Strength for Channels formula is defined as the total length between flanges of a connector of C section. Channel Length is denoted by w symbol.

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

FAQs on Channel Length given Ultimate Shear Connector Strength for Channels

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

The formula of Channel Length given Ultimate Shear Connector Strength for Channels is expressed as Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)). Here is an example- 1.9E+6 = 20000/(17.4*sqrt(15000000)*(0.188+0.02/2)).

How to calculate Channel Length given Ultimate Shear Connector Strength for Channels?

With Ultimate Shear Connector Stress (S_ultimate), 28 Day Compressive Strength of Concrete (f_c), Average Flange Thickness (h) & Web Thickness (t) we can find Channel Length given Ultimate Shear Connector Strength for Channels using the formula - Channel Length = Ultimate Shear Connector Stress/(17.4*sqrt(28 Day Compressive Strength of Concrete)*(Average Flange Thickness+Web Thickness/2)). This formula also uses Square Root (sqrt) function(s).

Can the Channel Length given Ultimate Shear Connector Strength for Channels be negative?

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

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

Channel Length 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 Channel Length given Ultimate Shear Connector Strength for Channels can be measured.

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Channel Length given Ultimate Shear Connector Strength for Channels Formula

Channel Length given Ultimate Shear Connector Strength for Channels Example

Channel Length given Ultimate Shear Connector Strength for Channels Solution

Channel Length given Ultimate Shear Connector Strength for Channels Formula Elements

Other formulas in Ultimate Shear Strength of Connectors in Bridges category

How to Evaluate Channel Length given Ultimate Shear Connector Strength for Channels?

FAQs on Channel Length given Ultimate Shear Connector Strength for Channels

Variable Name