Ultimate Design Torsional Moment Calculator

✖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 for Component Rectangles of Section of the product of square of the shorter side and the longer side of each rectangle.ⓘ Sum for Component Rectangles of Section [Σx²y]			+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]

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Formula

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Ultimate Design Torsional Moment

Formula

`"T"_{"u"} = 0.85*5*sqrt("f'"_{"c"})*("Σx"^{"2"}"y")`

Example

`"604.046N*m"=0.85*5*sqrt("50MPa")*"20.1"`

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Download Deflection Computations, Column Moments and Torsion Formulas PDF

Ultimate Design Torsional Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section
T_u = 0.85*5*sqrt(f'_c)*Σx²y
This formula uses 1 Functions, 3 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).
Specified 28-Day Compressive Strength of Concrete - (Measured in Newton per Square Millimeter) - Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Sum for Component Rectangles of Section - Sum for Component Rectangles of 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

Specified 28-Day Compressive Strength of Concrete: 50 Megapascal --> 50 Newton per Square Millimeter (Check conversion here)
Sum for Component Rectangles of Section: 20.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_u = 0.85*5*sqrt(f'_c)*Σx²y --> 0.85*5*sqrt(50)*20.1

Evaluating ... ...

T_u = 604.045967828608

STEP 3: Convert Result to Output's Unit

604.045967828608 Newton Meter --> No Conversion Required

FINAL ANSWER

604.045967828608 ≈ 604.046 Newton Meter <-- Ultimate Design Torsional Moment

(Calculation completed in 00.020 seconds)

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Created by NIRANJAN MALL

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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

Ultimate Design Torsional Moment Formula

Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section
T_u = 0.85*5*sqrt(f'_c)*Σx²y

What is Ultimate Design Torsional Moment?

The Ultimate design torsional moment formula is defined as is defined as the maximum torsion that can be applied to the valve train without risk of damage.

How to Calculate Ultimate Design Torsional Moment?

Ultimate Design Torsional Moment calculator uses Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section to calculate the Ultimate Design Torsional Moment, The Ultimate Design Torsional Moment formula is defined as the maximum torsion that can be applied to the valve train without risk of damage. Ultimate Design Torsional Moment is denoted by T_u symbol.

How to calculate Ultimate Design Torsional Moment using this online calculator? To use this online calculator for Ultimate Design Torsional Moment, enter Specified 28-Day Compressive Strength of Concrete (f'_c) & Sum for Component Rectangles of Section (Σx²y) and hit the calculate button. Here is how the Ultimate Design Torsional Moment calculation can be explained with given input values -> 601.0408 = 0.85*5*sqrt(50000000)*20.1.

FAQ

What is Ultimate Design Torsional Moment?

The Ultimate Design Torsional Moment formula is defined as the maximum torsion that can be applied to the valve train without risk of damage and is represented as T_u = 0.85*5*sqrt(f'_c)*Σx²y or Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section. Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed & Sum for Component Rectangles of Section of the product of square of the shorter side and the longer side of each rectangle.

How to calculate Ultimate Design Torsional Moment?

The Ultimate Design Torsional Moment formula is defined as the maximum torsion that can be applied to the valve train without risk of damage is calculated using Ultimate Design Torsional Moment = 0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of Section. To calculate Ultimate Design Torsional Moment, you need Specified 28-Day Compressive Strength of Concrete (f'_c) & Sum for Component Rectangles of Section (Σx²y). With our tool, you need to enter the respective value for Specified 28-Day Compressive Strength of Concrete & Sum for Component Rectangles of 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 Specified 28-Day Compressive Strength of Concrete & Sum for Component Rectangles of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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