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Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment). Check FAQs
Tu=φ(0.5f'cΣa2b)
Tu - Ultimate Design Torsional Moment?φ - Capacity Reduction Factor?f'c - Specified 28-Day Compressive Strength of Concrete?Σa2b - Sum of Component Rectangles for Cross Section?

Maximum Ultimate Torsion for Torsion Effects Example

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Here is how the Maximum Ultimate Torsion for Torsion Effects equation looks like with Values.

Here is how the Maximum Ultimate Torsion for Torsion Effects equation looks like with Units.

Here is how the Maximum Ultimate Torsion for Torsion Effects equation looks like.

102.1769Edit=0.85Edit(0.550Edit34Edit)
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Maximum Ultimate Torsion for Torsion Effects Solution

Follow our step by step solution on how to calculate Maximum Ultimate Torsion for Torsion Effects?

FIRST Step Consider the formula
Tu=φ(0.5f'cΣa2b)
Next Step Substitute values of Variables
Tu=0.85(0.550MPa34)
Next Step Prepare to Evaluate
Tu=0.85(0.55034)
Next Step Evaluate
Tu=102.176929881456N*m
LAST Step Rounding Answer
Tu=102.1769N*m

Maximum Ultimate Torsion for Torsion Effects Formula Elements

Variables
Functions
Ultimate Design Torsional Moment
Ultimate Design Torsional Moment,Torsion is the twisting of a beam under the action of a torque (twisting moment).
Symbol: Tu
Measurement: TorqueUnit: N*m
Note: Value should be greater than 0.
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.
Specified 28-Day Compressive Strength of Concrete
Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.
Symbol: f'c
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
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.
Symbol: Σa2b
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Syntax: sqrt(Number)

Other Formulas to find Ultimate Design Torsional Moment

​Go Ultimate Design Torsional Moment
Tu=0.855f'cΣx2y

Other formulas in Ultimate Strength Design for Torsion category

​Go Spacing of Closed Stirrups for Torsion
s=Atφfyxstirrupy1Tu-φTc
​Go Area of One Leg of Closed Stirrup given Shear Reinforcement Area
At=(50bwsfy)-Av2
​Go Shear Reinforcement Area
Av=50bwsfy

How to Evaluate Maximum Ultimate Torsion for Torsion Effects?

Maximum Ultimate Torsion for Torsion Effects evaluator 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 evaluate 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 Tu symbol.

How to evaluate Maximum Ultimate Torsion for Torsion Effects using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Ultimate Torsion for Torsion Effects

What is the formula to find Maximum Ultimate Torsion for Torsion Effects?
The formula of Maximum Ultimate Torsion for Torsion Effects is expressed as Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section). Here is an example- 102.1769 = 0.85*(0.5*sqrt(50000000)*34).
How to calculate Maximum Ultimate Torsion for Torsion Effects?
With Capacity Reduction Factor (φ), Specified 28-Day Compressive Strength of Concrete (f'c) & Sum of Component Rectangles for Cross Section (Σa2b) we can find Maximum Ultimate Torsion for Torsion Effects using the formula - Ultimate Design Torsional Moment = Capacity Reduction Factor*(0.5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum of Component Rectangles for Cross Section). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Ultimate Design Torsional Moment?
Here are the different ways to Calculate Ultimate Design Torsional Moment-
  • Ultimate Design Torsional Moment=0.85*5*sqrt(Specified 28-Day Compressive Strength of Concrete)*Sum for Component Rectangles of SectionOpenImg
Can the Maximum Ultimate Torsion for Torsion Effects be negative?
No, the Maximum Ultimate Torsion for Torsion Effects, measured in Torque cannot be negative.
Which unit is used to measure Maximum Ultimate Torsion for Torsion Effects?
Maximum Ultimate Torsion for Torsion Effects is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Maximum Ultimate Torsion for Torsion Effects can be measured.
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