Average Stress for Parabolic Tendons Calculator

✖Stress at End is the stress in concrete at the ends of the member.ⓘ Stress at End [f_c1]			+10% -10%
✖Stress at Midspan refers to the stress in concrete due to tenons in the midspan of the member.ⓘ Stress at Midspan [f_c2]			+10% -10%

✖Average Stress is the stress when parabolic tendons are used in prestressed section caused due to stress in concrete at end and mid span.ⓘ Average Stress for Parabolic Tendons [f_c,avg]

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Average Stress for Parabolic Tendons Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End)
f_c,avg = f_c1+2/3*(f_c2-f_c1)
This formula uses 3 Variables

Variables Used

Average Stress - (Measured in Pascal) - Average Stress is the stress when parabolic tendons are used in prestressed section caused due to stress in concrete at end and mid span.
Stress at End - (Measured in Pascal) - Stress at End is the stress in concrete at the ends of the member.
Stress at Midspan - (Measured in Pascal) - Stress at Midspan refers to the stress in concrete due to tenons in the midspan of the member.

STEP 1: Convert Input(s) to Base Unit

Stress at End: 10.006 Megapascal --> 10006000 Pascal (Check conversion here)
Stress at Midspan: 10.3 Megapascal --> 10300000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c,avg = f_c1+2/3*(f_c2-f_c1) --> 10006000+2/3*(10300000-10006000)

Evaluating ... ...

f_c,avg = 10202000

STEP 3: Convert Result to Output's Unit

10202000 Pascal -->10.202 Megapascal (Check conversion here)

FINAL ANSWER

10.202 Megapascal <-- Average Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Elastic Shortening » Post Tensioned Members » Average Stress for Parabolic Tendons

Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Post Tensioned Members Calculators

Prestress Drop given Stress in concrete at Same Level due to Prestressing Force

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete

Area of Concrete Section given Prestress Drop

LaTeX Go Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)

Prestress Drop given Modular Ratio

LaTeX Go Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section

Prestress Drop

LaTeX Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain

Average Stress for Parabolic Tendons Formula

LaTeX Go

Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End)
f_c,avg = f_c1+2/3*(f_c2-f_c1)

How the Loss of Stress in Bending Members are found?

The calculation of loss for tendons stretched sequentially, is similar to post-tensioned
axial members. For curved profiles, the eccentricity of the CGS and hence, the stress in
concrete at the level of CGS vary along the length. An average stress in concrete can
be considered.

How to Calculate Average Stress for Parabolic Tendons?

Average Stress for Parabolic Tendons calculator uses Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End) to calculate the Average Stress, The Average Stress for Parabolic Tendons is defined as the equation for finding the average stress in the concrete when parabolic tendons are used in the member. The stresses are considered at both ends and midspan of the member. Average Stress is denoted by f_c,avg symbol.

How to calculate Average Stress for Parabolic Tendons using this online calculator? To use this online calculator for Average Stress for Parabolic Tendons, enter Stress at End (f_c1) & Stress at Midspan (f_c2) and hit the calculate button. Here is how the Average Stress for Parabolic Tendons calculation can be explained with given input values -> 1E-5 = 10006000+2/3*(10300000-10006000).

FAQ

What is Average Stress for Parabolic Tendons?

The Average Stress for Parabolic Tendons is defined as the equation for finding the average stress in the concrete when parabolic tendons are used in the member. The stresses are considered at both ends and midspan of the member and is represented as f_c,avg = f_c1+2/3*(f_c2-f_c1) or Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End). Stress at End is the stress in concrete at the ends of the member & Stress at Midspan refers to the stress in concrete due to tenons in the midspan of the member.

How to calculate Average Stress for Parabolic Tendons?

The Average Stress for Parabolic Tendons is defined as the equation for finding the average stress in the concrete when parabolic tendons are used in the member. The stresses are considered at both ends and midspan of the member is calculated using Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End). To calculate Average Stress for Parabolic Tendons, you need Stress at End (f_c1) & Stress at Midspan (f_c2). With our tool, you need to enter the respective value for Stress at End & Stress at Midspan 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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