Modulus of Elasticity of Prestressed Steel given Compression Force Calculator

✖Total Compression on Concrete is the total compressive force acting on the section.ⓘ Total Compression on Concrete [C_c]			+10% -10%
✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel [As]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members.ⓘ Modulus of Elasticity of Prestressed Steel given Compression Force [E_p]

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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)
E_p = C_c/(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

E_p = C_c/(As*ε) --> 750/(2.02E-05*1.0001)

Evaluating ... ...

E_p = 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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< Evaluation of Average Strain and Neutral Axis Depth Calculators

Height of Crack Width at Soffit given Average Strain

LaTeX 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

Strain at Selected Level given Average Strain under Tension

LaTeX 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))

Average Strain under Tension

LaTeX 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))

Couple Force of Cross Section

LaTeX Go Couple Force = 0.5*Modulus of Elasticity of Concrete*Strain in Concrete*Depth of Neutral Axis*Crack Width

Modulus of Elasticity of Prestressed Steel given Compression Force Formula

LaTeX Go

Prestressed Young's Modulus = Total Compression on Concrete/(Area of Prestressing Steel*Strain)
E_p = C_c/(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 E_p 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 (C_c), 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 E_p = C_c/(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 (C_c), 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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