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## Credits

National Institute of Technology (NIT), Warangal
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NSS College of Engineering (NSSCE), Palakkad
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## Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
strain_in_the_longitudinal_reinforcement = Tension force/(Area of non prestressed steel*non prestressed youngs modulus)
εs = Nu/(As*Εs)
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 non prestressed steel - Area of non prestressed steel is described as the the area of steel when the prestess is not applied (Measured in Square Meter)
non prestressed youngs modulus - non prestressed youngs modulus is defined as the modulus of elasticity of non 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 non prestressed steel: 50 Square Meter --> 50 Square Meter No Conversion Required
non prestressed youngs modulus: 50 Kilogram per Centimeter³ --> 50000000 Kilogram per Meter³ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εs = Nu/(As*Εs) --> 5/(50*50000000)
Evaluating ... ...
εs = 2E-09
STEP 3: Convert Result to Output's Unit
2E-09 --> No Conversion Required
2E-09 <-- strain in the longitudinal reinforcement
(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 Longitudinal Reinforcement(εs) when Tension Force(Ts) is given Formula

strain_in_the_longitudinal_reinforcement = Tension force/(Area of non prestressed steel*non prestressed youngs modulus)
εs = Nu/(As*Εs)

## 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 Longitudinal Reinforcement(εs) when Tension Force(Ts) is given?

Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given calculator uses strain_in_the_longitudinal_reinforcement = Tension force/(Area of non prestressed steel*non prestressed youngs modulus) to calculate the strain in the longitudinal reinforcement, The Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given is defined as the ratio of change in length of the material due to the applied force to original length. strain in the longitudinal reinforcement and is denoted by εs symbol.

How to calculate Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given using this online calculator? To use this online calculator for Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given, enter Tension force (Nu), Area of non prestressed steel (As) and non prestressed youngs modulus (Εs) and hit the calculate button. Here is how the Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given calculation can be explained with given input values -> 2.000E-9 = 5/(50*50000000).

### FAQ

What is Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given?
The Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given is defined as the ratio of change in length of the material due to the applied force to original length and is represented as εs = Nu/(As*Εs) or strain_in_the_longitudinal_reinforcement = Tension force/(Area of non prestressed steel*non prestressed youngs modulus). Tension force is a pulling force transmitted axially from the member, Area of non prestressed steel is described as the the area of steel when the prestess is not applied and non prestressed youngs modulus is defined as the modulus of elasticity of non prestressed.
How to calculate Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given?
The Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given is defined as the ratio of change in length of the material due to the applied force to original length is calculated using strain_in_the_longitudinal_reinforcement = Tension force/(Area of non prestressed steel*non prestressed youngs modulus). To calculate Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given, you need Tension force (Nu), Area of non prestressed steel (As) and non prestressed youngs modulus (Εs). With our tool, you need to enter the respective value for Tension force, Area of non prestressed steel and non 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 the longitudinal reinforcement?
In this formula, strain in the longitudinal reinforcement uses Tension force, Area of non prestressed steel and non 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 Longitudinal Reinforcement(εs) when Tension Force(Ts) is given calculator used?
Among many, Strain in the Longitudinal Reinforcement(εs) when Tension Force(Ts) is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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