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Couple Force of Cross Section Formula

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Couple Force is a system of forces with a resultant moment but no resultant force. Check FAQs

C = 0.5 \cdot E c \cdot ε c \cdot x \cdot W cr

C - Couple Force?E_c - Modulus of Elasticity of Concrete?ε_c - Strain in Concrete?x - Depth of Neutral Axis?W_cr - Crack Width?

Couple Force of Cross Section Example

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Here is how the Couple Force of Cross Section equation looks like with Values.

Here is how the Couple Force of Cross Section equation looks like with Units.

Here is how the Couple Force of Cross Section equation looks like.

0.0033 = 0.5 \cdot 0.157 \cdot 1.69 \cdot 50 \cdot 0.49

0.0033kN = 0.5 \cdot 0.157MPa \cdot 1.69 \cdot 50mm \cdot 0.49mm

0.0033 = 0.5 \cdot 0.157 \cdot 1.69 \cdot 50 \cdot 0.49

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Couple Force of Cross Section Solution

Follow our step by step solution on how to calculate Couple Force of Cross Section?

FIRST Step Consider the formula

C = 0.5 \cdot E c \cdot ε c \cdot x \cdot W cr

Next Step Substitute values of Variables

∴

C = 0.5 \cdot 0.157MPa \cdot 1.69 \cdot 50mm \cdot 0.49mm

Next Step Convert Units

∴

C = 0.5 \cdot 157000Pa \cdot 1.69 \cdot 0.05m \cdot 0.0005m

Next Step Prepare to Evaluate

∴

C = 0.5 \cdot 157000 \cdot 1.69 \cdot 0.05 \cdot 0.0005

Next Step Evaluate

∴

C = 3.2502925N

Next Step Convert to Output's Unit

∴

C = 0.0032502925kN

LAST Step Rounding Answer

∴

C = 0.0033kN

Couple Force of Cross Section Formula Elements

Variables

Couple Force

Couple Force is a system of forces with a resultant moment but no resultant force.

Symbol: C

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Couple Force

Modulus of Elasticity of Concrete

Modulus of Elasticity of Concrete is defined as the ratio of the applied stress to the corresponding strain.

Symbol: E_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Concrete

Strain in Concrete

Strain in Concrete is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.

Symbol: ε_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain in Concrete

Depth of Neutral Axis

Depth of Neutral Axis is defined as the distance from the top of the section to its neutral axis.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Neutral Axis

Crack Width

Crack Width describes the length of the crack in an element.

Symbol: W_cr

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Crack Width

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

Go Average Strain under Tension

ε m = ε 1 - \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Strain at Selected Level given Average Strain under Tension

ε 1 = ε m + \frac{W cr \cdot (h Crack - x) \cdot (D CC - x)}{3 \cdot E s \cdot A s \cdot (L eff - x)}

Go Height of Crack Width at Soffit given Average Strain

h Crack = (\frac{(ε 1 - ε m) \cdot (3 \cdot E s \cdot A s \cdot (d - x))}{W cr \cdot (D CC - x)}) + x

Go Modulus of Elasticity of Concrete given Couple Force of Cross-Section

E c = \frac{C}{0.5 \cdot ε c \cdot x \cdot W cr}

How to Evaluate Couple Force of Cross Section?

Couple Force of Cross Section evaluator uses Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width to evaluate the Couple Force, The Couple Force of Cross Section is defined as a system of forces with a resultant (a.k.a.net or sum) moment but no resultant force. A better term is force couple or pure moment. Couple Force is denoted by C symbol.

How to evaluate Couple Force of Cross Section using this online evaluator? To use this online evaluator for Couple Force of Cross Section, enter Modulus of Elasticity of Concrete (E_c), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) and hit the calculate button.

FAQs on Couple Force of Cross Section

What is the formula to find Couple Force of Cross Section?

The formula of Couple Force of Cross Section is expressed as Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width. Here is an example- 3.3E-6 = 0.5*157000*1.69*0.05*0.00049.

How to calculate Couple Force of Cross Section?

With Modulus of Elasticity of Concrete (E_c), Strain in Concrete (ε_c), Depth of Neutral Axis (x) & Crack Width (W_cr) we can find Couple Force of Cross Section using the formula - Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width.

Can the Couple Force of Cross Section be negative?

No, the Couple Force of Cross Section, measured in Force cannot be negative.

Which unit is used to measure Couple Force of Cross Section?

Couple Force of Cross Section is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Couple Force of Cross Section can be measured.

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Couple Force of Cross Section Formula

Couple Force of Cross Section Example

Couple Force of Cross Section Solution

Couple Force of Cross Section Formula Elements

Other formulas in Evaluation of Average Strain and Neutral Axis Depth category

How to Evaluate Couple Force of Cross Section?

FAQs on Couple Force of Cross Section

Variable Name