Empirical Formula for Secant Modulus using ACI Code Provisions Calculator

✖Unit Weight of Material also known as specific weight is the weight per unit volume.ⓘ Unit Weight of Material [w_m]			+10% -10%
✖Cylinder Strength is the characteristic strength of concrete which is tested on a cylinder having 30cm height and 15cm diameter.ⓘ Cylinder Strength [f_c']			+10% -10%

✖Secant Modulus is one of several methods used to calculate modulus of elasticity, which is a measurement of a material's elasticity.ⓘ Empirical Formula for Secant Modulus using ACI Code Provisions [E_c]

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Empirical Formula for Secant Modulus using ACI Code Provisions

Formula

`"E"_{"c"} = "w"_{"m"}^1.5*33*sqrt("f"_{"c'"})`

Example

`"9690.047MPa"=("5.1kN/m³")^1.5*33*sqrt("0.65MPa")`

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Empirical Formula for Secant Modulus using ACI Code Provisions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength)
E_c = w_m^1.5*33*sqrt(f_c')
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Secant Modulus - (Measured in Pascal) - Secant Modulus is one of several methods used to calculate modulus of elasticity, which is a measurement of a material's elasticity.
Unit Weight of Material - (Measured in Newton per Cubic Meter) - Unit Weight of Material also known as specific weight is the weight per unit volume.
Cylinder Strength - (Measured in Pascal) - Cylinder Strength is the characteristic strength of concrete which is tested on a cylinder having 30cm height and 15cm diameter.

STEP 1: Convert Input(s) to Base Unit

Unit Weight of Material: 5.1 Kilonewton per Cubic Meter --> 5100 Newton per Cubic Meter (Check conversion here)
Cylinder Strength: 0.65 Megapascal --> 650000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_c = w_m^1.5*33*sqrt(f_c') --> 5100^1.5*33*sqrt(650000)

Evaluating ... ...

E_c = 9690046973.57035

STEP 3: Convert Result to Output's Unit

9690046973.57035 Pascal -->9690.04697357035 Megapascal (Check conversion here)

FINAL ANSWER

9690.04697357035 ≈ 9690.047 Megapascal <-- Secant Modulus

(Calculation completed in 00.004 seconds)

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Empirical Formula for Secant Modulus using ACI Code Provisions

Go Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength)

Total Strain given Creep Coefficient

Go Total Strain = Instantaneous Strain*Creep Coefficient

Creep Coefficient in European Code

Go Creep Coefficient = Total Strain/Instantaneous Strain

Instantaneous Strain given Cc

Go Instantaneous Strain = Total Strain/Creep Coefficient

Total Strain

Go Total Strain = Instantaneous Strain+Creep Strain

Empirical Formula for Secant Modulus Proposed by Jensen

Go Secant Modulus = (6*10^6)/(1+(2000/Cylinder Strength))

Empirical Formula for Secant Modulus Proposed by Hognestad in ACI Code

Go Secant Modulus = 1800000+(460*Cylinder Strength)

Empirical Formula for Secant Modulus using ACI Code Provisions Formula

Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength)
E_c = w_m^1.5*33*sqrt(f_c')

What is Secant Modulus?

Secant Modulus is one of several methods used to calculate modulus of elasticity, which is a measurement of a material's elasticity. Calculating secant modulus involves using two points on a stress-strain curve to calculate the slope of the stress/strain. When using this method, the first point is always zero and the second is always a non-zero value.

How to Calculate Empirical Formula for Secant Modulus using ACI Code Provisions?

Empirical Formula for Secant Modulus using ACI Code Provisions calculator uses Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength) to calculate the Secant Modulus, The Empirical Formula for Secant Modulus using ACI Code Provisions is defined as the formula used for finding secant modulus for reinforced concrete according to ACI code. Secant Modulus is denoted by E_c symbol.

How to calculate Empirical Formula for Secant Modulus using ACI Code Provisions using this online calculator? To use this online calculator for Empirical Formula for Secant Modulus using ACI Code Provisions, enter Unit Weight of Material (w_m) & Cylinder Strength (f_c') and hit the calculate button. Here is how the Empirical Formula for Secant Modulus using ACI Code Provisions calculation can be explained with given input values -> 0.009406 = 5100^1.5*33*sqrt(650000).

FAQ

What is Empirical Formula for Secant Modulus using ACI Code Provisions?

The Empirical Formula for Secant Modulus using ACI Code Provisions is defined as the formula used for finding secant modulus for reinforced concrete according to ACI code and is represented as E_c = w_m^1.5*33*sqrt(f_c') or Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength). Unit Weight of Material also known as specific weight is the weight per unit volume & Cylinder Strength is the characteristic strength of concrete which is tested on a cylinder having 30cm height and 15cm diameter.

How to calculate Empirical Formula for Secant Modulus using ACI Code Provisions?

The Empirical Formula for Secant Modulus using ACI Code Provisions is defined as the formula used for finding secant modulus for reinforced concrete according to ACI code is calculated using Secant Modulus = Unit Weight of Material^1.5*33*sqrt(Cylinder Strength). To calculate Empirical Formula for Secant Modulus using ACI Code Provisions, you need Unit Weight of Material (w_m) & Cylinder Strength (f_c'). With our tool, you need to enter the respective value for Unit Weight of Material & Cylinder Strength 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 Secant Modulus?

In this formula, Secant Modulus uses Unit Weight of Material & Cylinder Strength. We can use 2 other way(s) to calculate the same, which is/are as follows -

Secant Modulus = (6*10^6)/(1+(2000/Cylinder Strength))
Secant Modulus = 1800000+(460*Cylinder Strength)

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