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Area of Prestressing Steel given Transformed Area Calculator

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✖The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.ⓘ Transformed Area of Prestressed Member [A_t]			+10% -10%
✖Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.ⓘ Transformed Area of Concrete [A_T]			+10% -10%
✖The modular ratio is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.ⓘ Modular Ratio [m]			+10% -10%

✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel given Transformed Area [As]

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Area of Prestressing Steel given Transformed Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio
As = (A_t-A_T)/m
This formula uses 4 Variables

Variables Used

Area of Prestressing Steel - (Measured in Square Meter) - Area of Prestressing Steel is the total cross sectional area of tendons.
Transformed Area of Prestressed Member - (Measured in Square Meter) - The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.
Transformed Area of Concrete - (Measured in Square Meter) - Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.
Modular Ratio - The modular ratio is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

STEP 1: Convert Input(s) to Base Unit

Transformed Area of Prestressed Member: 4500.14 Square Millimeter --> 0.00450014 Square Meter (Check conversion here)
Transformed Area of Concrete: 1000 Square Millimeter --> 0.001 Square Meter (Check conversion here)
Modular Ratio: 175 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

As = (A_t-A_T)/m --> (0.00450014-0.001)/175

Evaluating ... ...

As = 2.00008E-05

STEP 3: Convert Result to Output's Unit

2.00008E-05 Square Meter -->20.0008 Square Millimeter (Check conversion here)

FINAL ANSWER

20.0008 Square Millimeter <-- Area of Prestressing Steel

(Calculation completed in 00.004 seconds)

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< General Geometric Properties Calculators

Transformed Area of Prestressed Member given Gross Area of Member

LaTeX Go Transformed Area of Prestressed Member = Gross Area of Cross-Section+(Modular Ratio-1)*Area of Prestressing Steel

Area of Concrete Section when Transformed Area is Calculated

LaTeX Go Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modular Ratio*Area of Prestressing Steel)

Area of Prestressing Steel given Transformed Area

LaTeX Go Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio

Transformed Area of Prestressed Member

LaTeX Go Transformed Area of Prestressed Member = Transformed Area of Concrete+(Modular Ratio*Area of Prestressing Steel)

Area of Prestressing Steel given Transformed Area Formula

LaTeX Go

Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio
As = (A_t-A_T)/m

What is Loss of Prestress & What are the Losses in Prestressing Concrete?

A reduction in initial pre-stress resulting from the combined effect of creep, shrinkage or elastic shortening of the concrete, relaxation of the reinforcing steel, frictional losses resulting from the curvature of the draped tendons and slippage at the anchorage.
In a prestressed concrete beam, the loss is due to the following:
1. Elastic shortening
2. Shrinkage of concrete
3. Creep of concrete
4. Frictional loss
5. Relaxation of steel
6. Anchorage take-up

What are the Classification of Prestressing Losses?

The losses are broadly classified into two groups, immediate and time-dependent.
The losses due to elastic shortening of the member, friction at the tendon-concrete interface and slip of the anchorage are the immediate losses.
The time-dependent losses occur during the service life of the prestressed member. The losses due to the shrinkage and creep of the concrete and the relaxation of the steel are time-dependent losses.

How to Calculate Area of Prestressing Steel given Transformed Area?

Area of Prestressing Steel given Transformed Area calculator uses Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio to calculate the Area of Prestressing Steel, The Area of Prestressing Steel given Transformed Area is defined as the total cross-sectional area of tendons. Area of Prestressing Steel is denoted by As symbol.

How to calculate Area of Prestressing Steel given Transformed Area using this online calculator? To use this online calculator for Area of Prestressing Steel given Transformed Area, enter Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T) & Modular Ratio (m) and hit the calculate button. Here is how the Area of Prestressing Steel given Transformed Area calculation can be explained with given input values -> 2E+7 = (0.00450014-0.001)/175.

FAQ

What is Area of Prestressing Steel given Transformed Area?

The Area of Prestressing Steel given Transformed Area is defined as the total cross-sectional area of tendons and is represented as As = (A_t-A_T)/m or Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio. The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete, Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments & The modular ratio is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

How to calculate Area of Prestressing Steel given Transformed Area?

The Area of Prestressing Steel given Transformed Area is defined as the total cross-sectional area of tendons is calculated using Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete)/Modular Ratio. To calculate Area of Prestressing Steel given Transformed Area, you need Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T) & Modular Ratio (m). With our tool, you need to enter the respective value for Transformed Area of Prestressed Member, Transformed Area of Concrete & Modular Ratio 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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