Compression Force for Prestressed Section Calculator

✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel [As]			+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.ⓘ Prestressed Young's Modulus [E_p]			+10% -10%
✖Strain is simply the measure of how much an object is stretched or deformed.ⓘ Strain [ε]			+10% -10%

✖Total Compression on Concrete is the total compressive force acting on the section.ⓘ Compression Force for Prestressed Section [C_c]

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Formula

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Compression Force for Prestressed Section

Formula

`"C"_{"c"} = "As"*"E"_{"p"}*"ε"`

Example

`"767.6768N"= "20.2mm²"*"38kg/cm³"*"1.0001"`

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Download Crack Width and Deflection of Prestress Concrete Members Formulas PDF

Compression Force for Prestressed Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain
C_c = As*E_p*ε
This formula uses 4 Variables

Variables Used

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.
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.
Strain - Strain is simply the measure of how much an object is stretched or deformed.

STEP 1: Convert Input(s) to Base Unit

Area of Prestressing Steel: 20.2 Square Millimeter --> 2.02E-05 Square Meter (Check conversion here)
Prestressed Young's Modulus: 38 Kilogram per Cubic Centimeter --> 38000000 Kilogram per Cubic Meter (Check conversion here)
Strain: 1.0001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_c = As*E_p*ε --> 2.02E-05*38000000*1.0001

Evaluating ... ...

C_c = 767.67676

STEP 3: Convert Result to Output's Unit

767.67676 Newton --> No Conversion Required

FINAL ANSWER

767.67676 ≈ 767.6768 Newton <-- Total Compression on Concrete

(Calculation completed in 00.004 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)

Compression Force for Prestressed Section Formula

Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain
C_c = As*E_p*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.
Young's measures the stiffness of an elastic material, and it is defined as the ratio of stress to strain. Rocks with low Young's modulus tend to be ductile and rocks with high Young's modulus tend to be brittle.

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 Compression Force for Prestressed Section?

Compression Force for Prestressed Section calculator uses Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain to calculate the Total Compression on Concrete, The Compression Force for Prestressed Section is defined as force applied to induce initial stress, enhancing structural strength and load-bearing capacity. Total Compression on Concrete is denoted by C_c symbol.

How to calculate Compression Force for Prestressed Section using this online calculator? To use this online calculator for Compression Force for Prestressed Section, enter Area of Prestressing Steel (As), Prestressed Young's Modulus (E_p) & Strain (ε) and hit the calculate button. Here is how the Compression Force for Prestressed Section calculation can be explained with given input values -> 760.076 = 2.02E-05*38000000*1.0001.

FAQ

What is Compression Force for Prestressed Section?

The Compression Force for Prestressed Section is defined as force applied to induce initial stress, enhancing structural strength and load-bearing capacity and is represented as C_c = As*E_p*ε or Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain. Area of Prestressing Steel is the total cross sectional area of tendons, Prestressed Young's Modulus is in essence the stiffness of a material or how easily it is bended or stretched in prestressed members & Strain is simply the measure of how much an object is stretched or deformed.

How to calculate Compression Force for Prestressed Section?

The Compression Force for Prestressed Section is defined as force applied to induce initial stress, enhancing structural strength and load-bearing capacity is calculated using Total Compression on Concrete = Area of Prestressing Steel*Prestressed Young's Modulus*Strain. To calculate Compression Force for Prestressed Section, you need Area of Prestressing Steel (As), Prestressed Young's Modulus (E_p) & Strain (ε). With our tool, you need to enter the respective value for Area of Prestressing Steel, Prestressed Young's Modulus & 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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