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Area of Prestressing steel(Ap) when Tension Force(Tp) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_of_prestressing_steel = Tension force/(prestressed youngs modulus*Strain)
Ap = Nu/(Εp*ε)
This formula uses 3 Variables
Variables Used
Tension force - Tension force is a pulling force transmitted axially from the member. (Measured in Newton)
prestressed youngs modulus - prestressed youngs modulus is the modulus of elasticity when the steel is prestressed (Measured in Kilogram per Centimeter³)
Strain- Strain is simply the measure of how much an object is stretched or deformed.
STEP 1: Convert Input(s) to Base Unit
Tension force: 5 Newton --> 5 Newton No Conversion Required
prestressed youngs modulus: 50 Kilogram per Centimeter³ --> 50000000 Kilogram per Meter³ (Check conversion here)
Strain: 1000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ap = Nu/(Εp*ε) --> 5/(50000000*1000)
Evaluating ... ...
Ap = 1E-10
STEP 3: Convert Result to Output's Unit
1E-10 Square Meter -->0.0001 Square Millimeter (Check conversion here)
FINAL ANSWER
0.0001 Square Millimeter <-- Area of prestressing steel
(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

Area of Prestressing steel(Ap) when Tension Force(Tp) is given Formula

area_of_prestressing_steel = Tension force/(prestressed youngs modulus*Strain)
Ap = Nu/(Εp*ε)

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 Area of Prestressing steel(Ap) when Tension Force(Tp) is given?

Area of Prestressing steel(Ap) when Tension Force(Tp) is given calculator uses area_of_prestressing_steel = Tension force/(prestressed youngs modulus*Strain) to calculate the Area of prestressing steel, The Area of Prestressing steel(Ap) when Tension Force(Tp) is given can be defined as the Area of the steel when prestress is initiated. Strain mentioned is about the strain at the level of prestressed steel. Area of prestressing steel and is denoted by Ap symbol.

How to calculate Area of Prestressing steel(Ap) when Tension Force(Tp) is given using this online calculator? To use this online calculator for Area of Prestressing steel(Ap) when Tension Force(Tp) is given, enter Tension force (Nu), prestressed youngs modulus (Εp) and Strain (ε) and hit the calculate button. Here is how the Area of Prestressing steel(Ap) when Tension Force(Tp) is given calculation can be explained with given input values -> 0.0001 = 5/(50000000*1000).

FAQ

What is Area of Prestressing steel(Ap) when Tension Force(Tp) is given?
The Area of Prestressing steel(Ap) when Tension Force(Tp) is given can be defined as the Area of the steel when prestress is initiated. Strain mentioned is about the strain at the level of prestressed steel and is represented as Ap = Nu/(Εp*ε) or area_of_prestressing_steel = Tension force/(prestressed youngs modulus*Strain). Tension force is a pulling force transmitted axially from the member, prestressed youngs modulus is the modulus of elasticity when the steel is prestressed and Strain is simply the measure of how much an object is stretched or deformed.
How to calculate Area of Prestressing steel(Ap) when Tension Force(Tp) is given?
The Area of Prestressing steel(Ap) when Tension Force(Tp) is given can be defined as the Area of the steel when prestress is initiated. Strain mentioned is about the strain at the level of prestressed steel is calculated using area_of_prestressing_steel = Tension force/(prestressed youngs modulus*Strain). To calculate Area of Prestressing steel(Ap) when Tension Force(Tp) is given, you need Tension force (Nu), prestressed youngs modulus (Εp) and Strain (ε). With our tool, you need to enter the respective value for Tension force, prestressed youngs modulus and Strain 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 Area of prestressing steel?
In this formula, Area of prestressing steel uses Tension force, prestressed youngs modulus and Strain. 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 Area of Prestressing steel(Ap) when Tension Force(Tp) is given calculator used?
Among many, Area of Prestressing steel(Ap) when Tension Force(Tp) is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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