Modulus of Elasticity of Prestressed Steel given Compression Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain)
Ep = Cc/(As*ε)
This formula uses 4 Variables
Variables Used
Prestressed Young's Modulus - (Measured in Kilogram per Cubic Meter) - Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.
Total Compression on Concrete - (Measured in Newton) - Total Compression on Concrete is the total compressive force acting on the section.
Area of Prestressing Steel - (Measured in Square Meter) - Area of Prestressing Steel is the total cross sectional area of tendons.
Strain - Strain is simply the measure of how much an object is stretched or deformed.
STEP 1: Convert Input(s) to Base Unit
Total Compression on Concrete: 750 Newton --> 750 Newton No Conversion Required
Area of Prestressing Steel: 20.2 Square Millimeter --> 2.02E-05 Square Meter (Check conversion here)
Strain: 1.0001 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ep = Cc/(As*ε) --> 750/(2.02E-05*1.0001)
Evaluating ... ...
Ep = 37125000.37125
STEP 3: Convert Result to Output's Unit
37125000.37125 Kilogram per Cubic Meter -->37.12500037125 Kilogram per Cubic Centimeter (Check conversion here)
FINAL ANSWER
37.12500037125 37.125 Kilogram per Cubic Centimeter <-- Prestressed Young's Modulus
(Calculation completed in 00.020 seconds)

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13 Evaluation of Average Strain and Neutral Axis Depth Calculators

Height of Crack Width at Soffit given Average Strain
Go Height of Crack = (((Strain at Selected Level-Average Strain)*(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Depth of Reinforcement-Depth of Neutral Axis)))/(Crack Width*(Distance from Compression to Crack Width-Depth of Neutral Axis)))+Depth of Neutral Axis
Average Strain under Tension
Go Average Strain = Strain at Selected Level-(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))
Strain at Selected Level given Average Strain under Tension
Go Strain at Selected Level = Average Strain+(Crack Width*(Height of Crack-Depth of Neutral Axis)*(Distance from Compression to Crack Width-Depth of Neutral Axis))/(3*Modulus of Elasticity of Steel Reinforcement*Area of Reinforcement*(Effective Length-Depth of Neutral Axis))
Modulus of Elasticity of Concrete given Couple Force of Cross-Section
Go Modulus of Elasticity of Concrete = Couple Force/(0.5*Strain in Concrete*Depth of Neutral Axis*Crack Width)
Depth of Neutral Axis given Couple Force of Cross Section
Go Depth of Neutral Axis = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Crack Width)
Strain given Couple Force of Cross Section
Go Strain in Concrete = Couple Force/(0.5*Modulus of Elasticity of Concrete*Depth of Neutral Axis*Crack Width)
Couple Force of Cross Section
Go Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width
Width of Section given Couple Force of Cross Section
Go Crack Width = Couple Force/(0.5*Modulus of Elasticity of Concrete*Strain*Depth of Neutral Axis)
Strain in Longitudinal Reinforcement given Tension Force
Go Strain in Longitudinal Reinforcement = Tension Force/(Area of Reinforcement*Modulus of Elasticity of Steel)
Modulus of Elasticity of Prestressed Steel given Compression Force
Go Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain)
Compression Force for Prestressed Section
Go Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain
Strain in Prestressed Steel given Tension Force
Go Strain = Tension Force/(Area of Prestressing Steel*Prestressed Young's Modulus)
Area of Prestressing Steel given Tension Force
Go Area of Prestressing Steel = Tension Force/(Prestressed Young's Modulus*Strain)

Modulus of Elasticity of Prestressed Steel given Compression Force Formula

Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain)
Ep = Cc/(As*ε)

What does Compression Force Mean?

The Compression Force (Tp) for a Prestressed Section are induced in prestressed concrete either by pretensioning or post-tensioning the steel reinforcement. In pretensioning, the steel is stretched before the concrete is placed. Compression force (or compressive force) occurs when a physical force presses inward on an object, causing it to become compacted. There can also be different results depending on the direction or position on the object that the compressive force is applied.

What are Prestressed Members?

In a prestressed concrete member, the internal stresses are introduced in a planned manner so that the stresses resulting from the superimposed loads are counteracted to the desired degree.
The principle behind prestressed concrete is that compressive stresses induced by high-strength steel tendons in a concrete member before loads are applied will balance the tensile stresses imposed in the member during service.

How to Calculate Modulus of Elasticity of Prestressed Steel given Compression Force?

Modulus of Elasticity of Prestressed Steel given Compression Force calculator uses Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain) to calculate the Prestressed Young's Modulus, The Modulus of Elasticity of Prestressed Steel given Compression Force is defined as the measure of elasticity, equal to ratio of stress acting on substance to strain produced. Prestressed Young's Modulus is denoted by Ep symbol.

How to calculate Modulus of Elasticity of Prestressed Steel given Compression Force using this online calculator? To use this online calculator for Modulus of Elasticity of Prestressed Steel given Compression Force, enter Total Compression on Concrete (Cc), Area of Prestressing Steel (As) & Strain (ε) and hit the calculate button. Here is how the Modulus of Elasticity of Prestressed Steel given Compression Force calculation can be explained with given input values -> 3.7E-5 = 750/(2.02E-05*1.0001).

FAQ

What is Modulus of Elasticity of Prestressed Steel given Compression Force?
The Modulus of Elasticity of Prestressed Steel given Compression Force is defined as the measure of elasticity, equal to ratio of stress acting on substance to strain produced and is represented as Ep = Cc/(As*ε) or Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain). Total Compression on Concrete is the total compressive force acting on the section, Area of Prestressing Steel is the total cross sectional area of tendons & Strain is simply the measure of how much an object is stretched or deformed.
How to calculate Modulus of Elasticity of Prestressed Steel given Compression Force?
The Modulus of Elasticity of Prestressed Steel given Compression Force is defined as the measure of elasticity, equal to ratio of stress acting on substance to strain produced is calculated using Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain). To calculate Modulus of Elasticity of Prestressed Steel given Compression Force, you need Total Compression on Concrete (Cc), Area of Prestressing Steel (As) & Strain (ε). With our tool, you need to enter the respective value for Total Compression on Concrete, Area of Prestressing Steel & Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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