Maximum Ultimate Torsion for Torsion Effects Calculator

✖The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.ⓘ Capacity Reduction Factor [φ]			+10% -10%
✖Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.ⓘ Specified 28-Day Compressive Strength of Concrete [f'_c]			+10% -10%
✖Sum of Component Rectangles for Cross Section of the product of square of the shorter side and the longer side of each rectangle.ⓘ Sum of Component Rectangles for Cross Section [Σa²b]			+10% -10%

✖Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment).ⓘ Maximum Ultimate Torsion for Torsion Effects [T_u]

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Formula

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Maximum Ultimate Torsion for Torsion Effects

Formula

`"T"_{"u"} = "φ"*(0.5*sqrt("f'"_{"c"})*("Σa"^{"2"}"b"))`

Example

`"102.1769N*m"="0.85"*(0.5*sqrt("50MPa")*"34")`

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Maximum Ultimate Torsion for Torsion Effects Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section)
T_u = φ*(0.5*sqrt(f'_c)*Σa²b)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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).
Capacity Reduction Factor - The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength.
Specified 28-Day Compressive Strength of Concrete - (Measured in Megapascal) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Sum of Component Rectangles for Cross Section - Sum of Component Rectangles for Cross Section of the product of square of the shorter side and the longer side of each rectangle.

STEP 1: Convert Input(s) to Base Unit

Capacity Reduction Factor: 0.85 --> No Conversion Required
Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50 Megapascal No Conversion Required
Sum of Component Rectangles for Cross Section: 34 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_u = φ*(0.5*sqrt(f'_c)*Σa²b) --> 0.85*(0.5*sqrt(50)*34)

Evaluating ... ...

T_u = 102.176929881456

STEP 3: Convert Result to Output's Unit

102.176929881456 Newton Meter --> No Conversion Required

FINAL ANSWER

102.176929881456 ≈ 102.1769 Newton Meter <-- Ultimate Design Torsional Moment

(Calculation completed in 00.004 seconds)

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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

Maximum Ultimate Torsion for Torsion Effects Formula

What is Torsion ?

Torsion is the state of strain in a material that has been twisted by an applied torque. Torsion develops shear stresses and is equivalent to tension and compression at right angles.

What is the reason for Torsion in Beam?

Torsion in beams arises generally from the action of shear loads whose points of application do not coincide with the shear center of the beam section.

How to Calculate Maximum Ultimate Torsion for Torsion Effects?

Maximum Ultimate Torsion for Torsion Effects calculator uses Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section) to calculate the Ultimate Design Torsional Moment, The Maximum Ultimate Torsion for Torsion Effects formula is defined as the parameters, capacity reduction factor, 28-day compressive strength of concrete and sum for component rectangles of a section of product of square of shorter side and longer side of each rectangle. Ultimate Design Torsional Moment is denoted by T_u symbol.

How to calculate Maximum Ultimate Torsion for Torsion Effects using this online calculator? To use this online calculator for Maximum Ultimate Torsion for Torsion Effects, enter Capacity Reduction Factor (φ), Specified 28-Day Compressive Strength of Concrete (f'_c) & Sum of Component Rectangles for Cross Section (Σa²b) and hit the calculate button. Here is how the Maximum Ultimate Torsion for Torsion Effects calculation can be explained with given input values -> 102.1769 = 0.85*(0.5*sqrt(50000000)*34).

FAQ

What is Maximum Ultimate Torsion for Torsion Effects?

The Maximum Ultimate Torsion for Torsion Effects formula is defined as the parameters, capacity reduction factor, 28-day compressive strength of concrete and sum for component rectangles of a section of product of square of shorter side and longer side of each rectangle and is represented as T_u = φ*(0.5*sqrt(f'_c)*Σa²b) or Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section). The Capacity Reduction Factor is a safety factor to account for uncertainties in material strength, Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed & Sum of Component Rectangles for Cross Section of the product of square of the shorter side and the longer side of each rectangle.

How to calculate Maximum Ultimate Torsion for Torsion Effects?

The Maximum Ultimate Torsion for Torsion Effects formula is defined as the parameters, capacity reduction factor, 28-day compressive strength of concrete and sum for component rectangles of a section of product of square of shorter side and longer side of each rectangle is calculated using Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section). To calculate Maximum Ultimate Torsion for Torsion Effects, you need Capacity Reduction Factor (φ), Specified 28-Day Compressive Strength of Concrete (f'_c) & Sum of Component Rectangles for Cross Section (Σa²b). With our tool, you need to enter the respective value for Capacity Reduction Factor, Specified 28-Day Compressive Strength of Concrete & Sum of Component Rectangles for Cross Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ultimate Design Torsional Moment?

In this formula, Ultimate Design Torsional Moment uses Capacity Reduction Factor, Specified 28-Day Compressive Strength of Concrete & Sum of Component Rectangles for Cross Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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