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Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
strain = Tension force/(Area of prestressing steel*prestressed youngs modulus)
ε = Nu/(Ap*Εp)
This formula uses 3 Variables
Variables Used
Tension force - Tension force is a pulling force transmitted axially from the member. (Measured in Newton)
Area of prestressing steel - Area of prestressing steel is the total cross sectional area of tendons. (Measured in Square Millimeter)
prestressed youngs modulus - prestressed youngs modulus is the modulus of elasticity when the steel is prestressed (Measured in Kilogram per Centimeter³)
STEP 1: Convert Input(s) to Base Unit
Tension force: 5 Newton --> 5 Newton No Conversion Required
Area of prestressing steel: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
prestressed youngs modulus: 50 Kilogram per Centimeter³ --> 50000000 Kilogram per Meter³ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ε = Nu/(Ap*Εp) --> 5/(2E-05*50000000)
Evaluating ... ...
ε = 0.005
STEP 3: Convert Result to Output's Unit
0.005 --> No Conversion Required
FINAL ANSWER
0.005 <-- Strain
(Calculation completed in 00.016 seconds)

10+ Calculations of Deflection and Crack Width Calculators

Deflection Due to Prestressing for a Parabolic Tendon
deflection = (5/384)*((upward thrust*Span length^4)/ (Young's Modulus*Moment of Inertia)) Go
Moment of Inertia(I) when Deflection Due to Prestressing for a Parabolic Tendon is given
moment_of_inertia = (5/384)*((upward thrust*Span length^4)/(Young's Modulus*Deflection)) Go
Length of Span when Deflection Due to Prestressing for a Parabolic Tendon is given
span_length = ((Deflection*384*Young's Modulus*Moment of Inertia)/(5*upward thrust))^(1/4) Go
Young's Modulus when Deflection Due to Prestressing for a Parabolic Tendon is given
youngs_modulus = (5/384)*((upward thrust*Span length^4)/(Deflection*Moment of Inertia)) Go
Length of Span when Deflection Due to Prestressing for a Singly Harped Tendon is given
span_length = ((Deflection*48*Young's Modulus*Moment of Inertia)/Thrust force)^(1/3) Go
Uplift Thrust when Deflection Due to Prestressing for a Parabolic Tendon
upward_thrust = (Deflection*384*Young's Modulus*Moment of Inertia)/(5*Span length^4) Go
Deflection Due to Prestressing for a Singly Harped Tendon
deflection = (Thrust force*Span length^3)/(48*Young's Modulus*Moment of Inertia) Go
Uplift Thrust when Deflection Due to Prestressing for a Singly Harped Tendon is given
thrust_force = (Deflection*48*Young's Modulus*Moment of Inertia)/Span length^3 Go
Flexural Rigidity when Deflection Due to Prestressing for a Parabolic Tendon is given
flexural_rigidity = (5/384)*((upward thrust*Span length^4)/Deflection) Go
Flexural Rigidity when Deflection Due to Prestressing for a Singly Harped Tendon is given
flexural_rigidity = (Thrust force*Span length^3)/(48*Deflection) Go

Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given Formula

strain = Tension force/(Area of prestressing steel*prestressed youngs modulus)
ε = Nu/(Ap*Εp)

What does Youngs modulus mean?

Youngs modulus is a a measure of elasticity, equal to the ratio of the stress acting on a substance to the strain produced.

How to Calculate Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given?

Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given calculator uses strain = Tension force/(Area of prestressing steel*prestressed youngs modulus) to calculate the Strain, The Strain in the Prestressed Steel(εp) when Tension force(Tp) is given is defined as the change in shape or size of a body due to deforming force applied on it. Strain is the strain at prestressing level. Strain and is denoted by ε symbol.

How to calculate Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given using this online calculator? To use this online calculator for Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given, enter Tension force (Nu), Area of prestressing steel (Ap) and prestressed youngs modulus (Εp) and hit the calculate button. Here is how the Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given calculation can be explained with given input values -> 0.005 = 5/(2E-05*50000000).

FAQ

What is Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given?
The Strain in the Prestressed Steel(εp) when Tension force(Tp) is given is defined as the change in shape or size of a body due to deforming force applied on it. Strain is the strain at prestressing level and is represented as ε = Nu/(Ap*Εp) or strain = Tension force/(Area of prestressing steel*prestressed youngs modulus). Tension force is a pulling force transmitted axially from the member, Area of prestressing steel is the total cross sectional area of tendons and prestressed youngs modulus is the modulus of elasticity when the steel is prestressed.
How to calculate Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given?
The Strain in the Prestressed Steel(εp) when Tension force(Tp) is given is defined as the change in shape or size of a body due to deforming force applied on it. Strain is the strain at prestressing level is calculated using strain = Tension force/(Area of prestressing steel*prestressed youngs modulus). To calculate Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given, you need Tension force (Nu), Area of prestressing steel (Ap) and prestressed youngs modulus (Εp). With our tool, you need to enter the respective value for Tension force, Area of prestressing steel and prestressed youngs modulus 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 Strain?
In this formula, Strain uses Tension force, Area of prestressing steel and prestressed youngs modulus. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • deflection = (5/384)*((upward thrust*Span length^4)/ (Young's Modulus*Moment of Inertia))
  • upward_thrust = (Deflection*384*Young's Modulus*Moment of Inertia)/(5*Span length^4)
  • flexural_rigidity = (5/384)*((upward thrust*Span length^4)/Deflection)
  • span_length = ((Deflection*384*Young's Modulus*Moment of Inertia)/(5*upward thrust))^(1/4)
  • youngs_modulus = (5/384)*((upward thrust*Span length^4)/(Deflection*Moment of Inertia))
  • moment_of_inertia = (5/384)*((upward thrust*Span length^4)/(Young's Modulus*Deflection))
  • deflection = (Thrust force*Span length^3)/(48*Young's Modulus*Moment of Inertia)
  • thrust_force = (Deflection*48*Young's Modulus*Moment of Inertia)/Span length^3
  • flexural_rigidity = (Thrust force*Span length^3)/(48*Deflection)
  • span_length = ((Deflection*48*Young's Modulus*Moment of Inertia)/Thrust force)^(1/3)
Where is the Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given calculator used?
Among many, Strain in the Prestressed Steel(εp) when Tension Force(Tp) is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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