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Spacing of Closed Stirrups for Torsion Formula

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Stirrup Spacing is the approximate minimum spacing between two bars in a section. Check FAQs

s = \frac{A t \cdot φ \cdot f y \cdot x stirrup \cdot y 1}{T u - φ \cdot T c}

s - Stirrup Spacing?A_t - Area of One Leg of Closed Stirrup?φ - Capacity Reduction Factor?f_y - Yield Strength of Steel?x_stirrup - Shorter Dimension between Legs of Closed Stirrup?y₁ - Longer Dimension Legs of Closed Stirrup?T_u - Ultimate Design Torsional Moment?T_c - Maximum Concrete Torsion?

Spacing of Closed Stirrups for Torsion Example

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Here is how the Spacing of Closed Stirrups for Torsion equation looks like with Values.

Here is how the Spacing of Closed Stirrups for Torsion equation looks like with Units.

Here is how the Spacing of Closed Stirrups for Torsion equation looks like.

78.0613 = \frac{0.9 \cdot 0.85 \cdot 250 \cdot 200 \cdot 500.0001}{330 - 0.85 \cdot 100.0001}

78.0613mm = \frac{0.9mm² \cdot 0.85 \cdot 250MPa \cdot 200mm \cdot 500.0001mm}{330N*m - 0.85 \cdot 100.0001N/m²}

78.0613 = \frac{0.9 \cdot 0.85 \cdot 250 \cdot 200 \cdot 500.0001}{330 - 0.85 \cdot 100.0001}

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Spacing of Closed Stirrups for Torsion Solution

Follow our step by step solution on how to calculate Spacing of Closed Stirrups for Torsion?

FIRST Step Consider the formula

s = \frac{A t \cdot φ \cdot f y \cdot x stirrup \cdot y 1}{T u - φ \cdot T c}

Next Step Substitute values of Variables

∴

s = \frac{0.9mm² \cdot 0.85 \cdot 250MPa \cdot 200mm \cdot 500.0001mm}{330N*m - 0.85 \cdot 100.0001N/m²}

Next Step Convert Units

∴

s = \frac{9E-7m² \cdot 0.85 \cdot 2.5E+8Pa \cdot 0.2m \cdot 0.5m}{330N*m - 0.85 \cdot 100.0001Pa}

Next Step Prepare to Evaluate

∴

s = \frac{9E-7 \cdot 0.85 \cdot 2.5E+8 \cdot 0.2 \cdot 0.5}{330 - 0.85 \cdot 100.0001}

Next Step Evaluate

∴

s = 0.0780612726010196m

Next Step Convert to Output's Unit

∴

s = 78.0612726010196mm

LAST Step Rounding Answer

∴

s = 78.0613mm

Spacing of Closed Stirrups for Torsion Formula Elements

Variables

Stirrup Spacing

Stirrup Spacing is the approximate minimum spacing between two bars in a section.

Symbol: s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Stirrup Spacing

Area of One Leg of Closed Stirrup

Area of One Leg of Closed Stirrup deals with the stirrups that hold the leg and foot in a desired position.

Symbol: A_t

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of One Leg of Closed Stirrup

Capacity Reduction Factor

The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Yield Strength of Steel

Yield Strength of Steel is the level of stress that corresponds to the yield point.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Steel

Shorter Dimension between Legs of Closed Stirrup

Shorter Dimension between Legs of Closed Stirrup whose main function is to hold the given RCC structure in its location.

Symbol: x_stirrup

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Shorter Dimension between Legs of Closed Stirrup

Longer Dimension Legs of Closed Stirrup

Longer Dimension Legs of Closed Stirrup is the vertical length of the bent steel bars used in reinforced concrete construction.

Symbol: y₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Longer Dimension Legs of Closed Stirrup

Ultimate Design Torsional Moment

Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment).

Symbol: T_u

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Ultimate Design Torsional Moment

Maximum Concrete Torsion

Maximum Concrete Torsion is the point at which a concrete structural element reaches its maximum resistance to twisting or torsional forces.

Symbol: T_c

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Maximum Concrete Torsion

Other formulas in Ultimate Strength Design for Torsion category

Go Maximum Ultimate Torsion for Torsion Effects

T u = φ \cdot (0.5 \cdot \sqrt{f' c} \cdot Σa 2 b)

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

A t = \frac{(50 \cdot b w \cdot \frac{s}{f y}) - A v}{2}

How to Evaluate Spacing of Closed Stirrups for Torsion?

Spacing of Closed Stirrups for Torsion evaluator 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 evaluate 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 evaluate Spacing of Closed Stirrups for Torsion using this online evaluator? To use this online evaluator 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.

FAQs on Spacing of Closed Stirrups for Torsion

What is the formula to find Spacing of Closed Stirrups for Torsion?

The formula of Spacing of Closed Stirrups for Torsion is expressed as 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). Here is an example- 78061.27 = (9E-07*0.85*250000000*0.2*0.5000001)/(330-0.85*100.00012).

How to calculate Spacing of Closed Stirrups for Torsion?

With 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) we can find Spacing of Closed Stirrups for Torsion using the formula - 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).

Can the Spacing of Closed Stirrups for Torsion be negative?

No, the Spacing of Closed Stirrups for Torsion, measured in Length cannot be negative.

Which unit is used to measure Spacing of Closed Stirrups for Torsion?

Spacing of Closed Stirrups for Torsion is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Spacing of Closed Stirrups for Torsion can be measured.

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Spacing of Closed Stirrups for Torsion Formula

Spacing of Closed Stirrups for Torsion Example

Spacing of Closed Stirrups for Torsion Solution

Spacing of Closed Stirrups for Torsion Formula Elements

Other formulas in Ultimate Strength Design for Torsion category

How to Evaluate Spacing of Closed Stirrups for Torsion?

FAQs on Spacing of Closed Stirrups for Torsion

Variable Name