Area of One Leg of Closed Stirrup given Shear Reinforcement Area Calculator

✖Width of Beam Web is the distance between the two external points of beam web section.ⓘ Width of Beam Web [b_w]			+10% -10%
✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Stirrup Spacing [s]			+10% -10%
✖Yield Strength of Steel is the level of stress that corresponds to the yield point.ⓘ Yield Strength of Steel [f_y]			+10% -10%
✖Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.ⓘ Shear Reinforcement Area [A_v]			+10% -10%

✖Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position.ⓘ Area of One Leg of Closed Stirrup given Shear Reinforcement Area [A_t]

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Formula

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Area of One Leg of Closed Stirrup given Shear Reinforcement Area

Formula

`"A"_{"t"} = ((50*"b"_{"w"}*"s"/"f"_{"y"})-"A"_{"v"})/2`

Example

`"0.495551mm²"=((50*"50.00011mm"*"50.1mm"/"250MPa")-"500.01mm²")/2`

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Area of One Leg of Closed Stirrup given Shear Reinforcement Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2
A_t = ((50*b_w*s/f_y)-A_v)/2
This formula uses 5 Variables

Variables Used

Area of One Leg of Closed Stirrup - (Measured in Square Millimeter) - Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position.
Width of Beam Web - (Measured in Millimeter) - Width of Beam Web is the distance between the two external points of beam web section.
Stirrup Spacing - (Measured in Millimeter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Yield Strength of Steel - (Measured in Newton per Square Millimeter) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
Shear Reinforcement Area - (Measured in Square Millimeter) - Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.

STEP 1: Convert Input(s) to Base Unit

Width of Beam Web: 50.00011 Millimeter --> 50.00011 Millimeter No Conversion Required
Stirrup Spacing: 50.1 Millimeter --> 50.1 Millimeter No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250 Newton per Square Millimeter (Check conversion here)
Shear Reinforcement Area: 500.01 Square Millimeter --> 500.01 Square Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_t = ((50*b_w*s/f_y)-A_v)/2 --> ((50*50.00011*50.1/250)-500.01)/2

Evaluating ... ...

A_t = 0.4955511

STEP 3: Convert Result to Output's Unit

4.955511E-07 Square Meter -->0.4955511 Square Millimeter (Check conversion here)

FINAL ANSWER

0.4955511 ≈ 0.495551 Square Millimeter <-- Area of One Leg of Closed Stirrup

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Concrete Formulas » Deflection Computations, Column Moments and Torsion » Ultimate Strength Design for Torsion » Area of One Leg of Closed Stirrup given Shear Reinforcement Area

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< 5 Ultimate Strength Design for Torsion Calculators

Spacing of Closed Stirrups for Torsion

Go Stirrup Spacing = (Area of One Leg of Closed Stirrup*Capacity Reduction Factor*Yield Strength of Steel*Shorter Dimension between Legs of Closed Stirrup*Longer Dimension Legs of Closed Stirrup)/(Ultimate Design Torsional Moment-Capacity Reduction Factor*Maximum Concrete Torsion)

Maximum Ultimate Torsion for Torsion Effects

Go Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section)

Area of One Leg of Closed Stirrup given Shear Reinforcement Area

Go Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2

Ultimate Design Torsional Moment

Go Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section

Shear Reinforcement Area

Go Shear Reinforcement Area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel

Area of One Leg of Closed Stirrup given Shear Reinforcement Area Formula

Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2
A_t = ((50*b_w*s/f_y)-A_v)/2

What is Single Leg Stirrup?

Single-legged stirrups have a flattened U-shaped form rather than a complete loop. Single-legged stirrups aren’t commonly used.

What is Shear Reinforcement Area?

The shear reinforcement area is designed to resist shear forces in excess of the shear strength of concrete.

How to Calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

Area of One Leg of Closed Stirrup given Shear Reinforcement Area calculator uses Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2 to calculate the Area of One Leg of Closed Stirrup, The Area of One Leg of Closed Stirrup given Shear Reinforcement Area formula is defined as a flattened U-shaped form rather than a complete loop. Area of One Leg of Closed Stirrup is denoted by A_t symbol.

How to calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area using this online calculator? To use this online calculator for Area of One Leg of Closed Stirrup given Shear Reinforcement Area, enter Width of Beam Web (b_w), Stirrup Spacing (s), Yield Strength of Steel (f_y) & Shear Reinforcement Area (A_v) and hit the calculate button. Here is how the Area of One Leg of Closed Stirrup given Shear Reinforcement Area calculation can be explained with given input values -> 500551.1 = ((50*0.05000011*0.0501/250000000)-0.00050001)/2.

FAQ

What is Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

The Area of One Leg of Closed Stirrup given Shear Reinforcement Area formula is defined as a flattened U-shaped form rather than a complete loop and is represented as A_t = ((50*b_w*s/f_y)-A_v)/2 or Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2. Width of Beam Web is the distance between the two external points of beam web section, Stirrup Spacing is the approximate minimum spacing between two bars in a section, Yield Strength of Steel is the level of stress that corresponds to the yield point & Shear Reinforcement Area is designed to resist shear forces in excess of the shear strength of concrete.

How to calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area?

The Area of One Leg of Closed Stirrup given Shear Reinforcement Area formula is defined as a flattened U-shaped form rather than a complete loop is calculated using Area of One Leg of Closed Stirrup = ((50*Width of Beam Web*Stirrup Spacing/Yield Strength of Steel)-Shear Reinforcement Area)/2. To calculate Area of One Leg of Closed Stirrup given Shear Reinforcement Area, you need Width of Beam Web (b_w), Stirrup Spacing (s), Yield Strength of Steel (f_y) & Shear Reinforcement Area (A_v). With our tool, you need to enter the respective value for Width of Beam Web, Stirrup Spacing, Yield Strength of Steel & Shear Reinforcement Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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