Spacing of Closed Stirrups for Torsion Calculator

✖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 [A_t]			+10% -10%
✖The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.ⓘ Capacity Reduction Factor [φ]			+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%
✖Shorter Dimension between Legs of Closed Stirrup whose main function is to hold the given RCC structure in its location.ⓘ Shorter Dimension between Legs of Closed Stirrup [x_stirrup]			+10% -10%
✖Longer Dimension Legs of Closed Stirrup is the vertical length of the bent steel bars used in reinforced concrete construction.ⓘ Longer Dimension Legs of Closed Stirrup [y₁]			+10% -10%
✖Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment).ⓘ Ultimate Design Torsional Moment [T_u]			+10% -10%
✖Maximum Concrete Torsion is the point at which a concrete structural element reaches its maximum resistance to twisting or torsional forces.ⓘ Maximum Concrete Torsion [T_c]			+10% -10%

✖Stirrup Spacing is the approximate minimum spacing between two bars in a section.ⓘ Spacing of Closed Stirrups for Torsion [s]

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Formula

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Spacing of Closed Stirrups for Torsion

Formula

`"s" = ("A"_{"t"}*"φ"*"f"_{"y"}*"x"_{"stirrup"}*"y"_{"1"})/("T"_{"u"}-"φ"*"T"_{"c"})`

Example

`"78.06127mm"=("0.9mm²"*"0.85"*"250MPa"*"200mm"*"500.0001mm")/("330N*m"-"0.85"*"100.00012N/m²")`

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Spacing of Closed Stirrups for Torsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
s = (A_t*φ*f_y*x_stirrup*y₁)/(T_u-φ*T_c)
This formula uses 8 Variables

Variables Used

Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Area of One Leg of Closed Stirrup - (Measured in Square Meter) - Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position.
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.
Yield Strength of Steel - (Measured in Pascal) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
Shorter Dimension between Legs of Closed Stirrup - (Measured in Meter) - Shorter Dimension between Legs of Closed Stirrup whose main function is to hold the given RCC structure in its location.
Longer Dimension Legs of Closed Stirrup - (Measured in Meter) - Longer Dimension Legs of Closed Stirrup is the vertical length of the bent steel bars used in reinforced concrete construction.
Ultimate Design Torsional Moment - (Measured in Newton Meter) - Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment).
Maximum Concrete Torsion - (Measured in Pascal) - Maximum Concrete Torsion is the point at which a concrete structural element reaches its maximum resistance to twisting or torsional forces.

STEP 1: Convert Input(s) to Base Unit

Area of One Leg of Closed Stirrup: 0.9 Square Millimeter --> 9E-07 Square Meter (Check conversion here)
Capacity Reduction Factor: 0.85 --> No Conversion Required
Yield Strength of Steel: 250 Megapascal --> 250000000 Pascal (Check conversion here)
Shorter Dimension between Legs of Closed Stirrup: 200 Millimeter --> 0.2 Meter (Check conversion here)
Longer Dimension Legs of Closed Stirrup: 500.0001 Millimeter --> 0.5000001 Meter (Check conversion here)
Ultimate Design Torsional Moment: 330 Newton Meter --> 330 Newton Meter No Conversion Required
Maximum Concrete Torsion: 100.00012 Newton per Square Meter --> 100.00012 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = (A_t*φ*f_y*x_stirrup*y₁)/(T_u-φ*T_c) --> (9E-07*0.85*250000000*0.2*0.5000001)/(330-0.85*100.00012)

Evaluating ... ...

s = 0.0780612726010196

STEP 3: Convert Result to Output's Unit

0.0780612726010196 Meter -->78.0612726010196 Millimeter (Check conversion here)

FINAL ANSWER

78.0612726010196 ≈ 78.06127 Millimeter <-- Stirrup Spacing

(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 » Spacing of Closed Stirrups for Torsion

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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

Spacing of Closed Stirrups for Torsion Formula

What is Closed Stirrup?

Closed stirrups are employed when concrete beams are designed to resist a substantial amount of torsion in the section.

What is Torsion?

Torsion force is a load that is a applied to a material through torque. The torque that is applied creates a shear stress. If a torsion force is large enough, it can cause a material to undergo a twisting motion during elastic and plastic deformation.

How to Calculate Spacing of Closed Stirrups for Torsion?

Spacing of Closed Stirrups for Torsion calculator uses 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) to calculate the Stirrup Spacing, The Spacing of Closed Stirrups for Torsion formula is defined by the parameters of Coefficient of Thermal Expansion αt, Area of one leg of Closed Stirrup At, Dimensions of the legs of the Closed Stirrup, ultimate design torsional moment Tu, Torsion carried by the Concrete Tc. Stirrup Spacing is denoted by s symbol.

How to calculate Spacing of Closed Stirrups for Torsion using this online calculator? To use this online calculator for Spacing of Closed Stirrups for Torsion, enter Area of One Leg of Closed Stirrup (A_t), Capacity Reduction Factor (φ), Yield Strength of Steel (f_y), Shorter Dimension between Legs of Closed Stirrup (x_stirrup), Longer Dimension Legs of Closed Stirrup (y₁), Ultimate Design Torsional Moment (T_u) & Maximum Concrete Torsion (T_c) and hit the calculate button. Here is how the Spacing of Closed Stirrups for Torsion calculation can be explained with given input values -> 78061.27 = (9E-07*0.85*250000000*0.2*0.5000001)/(330-0.85*100.00012).

FAQ

What is Spacing of Closed Stirrups for Torsion?

The Spacing of Closed Stirrups for Torsion formula is defined by the parameters of Coefficient of Thermal Expansion αt, Area of one leg of Closed Stirrup At, Dimensions of the legs of the Closed Stirrup, ultimate design torsional moment Tu, Torsion carried by the Concrete Tc and is represented as s = (A_t*φ*f_y*x_stirrup*y₁)/(T_u-φ*T_c) or 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). Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position, The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength, Yield Strength of Steel is the level of stress that corresponds to the yield point, Shorter Dimension between Legs of Closed Stirrup whose main function is to hold the given RCC structure in its location, Longer Dimension Legs of Closed Stirrup is the vertical length of the bent steel bars used in reinforced concrete construction, Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment) & Maximum Concrete Torsion is the point at which a concrete structural element reaches its maximum resistance to twisting or torsional forces.

How to calculate Spacing of Closed Stirrups for Torsion?

The Spacing of Closed Stirrups for Torsion formula is defined by the parameters of Coefficient of Thermal Expansion αt, Area of one leg of Closed Stirrup At, Dimensions of the legs of the Closed Stirrup, ultimate design torsional moment Tu, Torsion carried by the Concrete Tc is calculated using 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). To calculate Spacing of Closed Stirrups for Torsion, you need Area of One Leg of Closed Stirrup (A_t), Capacity Reduction Factor (φ), Yield Strength of Steel (f_y), Shorter Dimension between Legs of Closed Stirrup (x_stirrup), Longer Dimension Legs of Closed Stirrup (y₁), Ultimate Design Torsional Moment (T_u) & Maximum Concrete Torsion (T_c). With our tool, you need to enter the respective value for 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 & Maximum Concrete Torsion 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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