Component of Strain at Level of First Tendon due to Bending Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress
εc2 = ΔL/L
This formula uses 3 Variables
Variables Used
Strain due to Bending - Strain due to Bending is the strain in the level of tendon A due to bending action.
Change in Length Dimension - (Measured in Meter) - Change in Length Dimension is produced when a force is applied to a wire or rod parallel to its length L0, either stretching it (a tension) or compressing it.
Length of Beam in Prestress - (Measured in Meter) - Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.
STEP 1: Convert Input(s) to Base Unit
Change in Length Dimension: 0.3 Meter --> 0.3 Meter No Conversion Required
Length of Beam in Prestress: 10.2 Meter --> 10.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εc2 = ΔL/L --> 0.3/10.2
Evaluating ... ...
εc2 = 0.0294117647058824
STEP 3: Convert Result to Output's Unit
0.0294117647058824 --> No Conversion Required
FINAL ANSWER
0.0294117647058824 0.029412 <-- Strain due to Bending
(Calculation completed in 00.020 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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National Institute of Technology Karnataka (NITK), Surathkal
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13 Post-Tensioned Members Calculators

Variation of Eccentricity on Tendon A
Go Eccentricity Variation of Tendon A = Eccentricity at End for A+(4*Change in Eccentricity at A*Distance from Left End/Length of Beam in Prestress)*(1-(Distance from Left End/Length of Beam in Prestress))
Variation of Eccentricity of Tendon B
Go Eccentricity Variation of Tendon B = Eccentricity at End for B+(4*Change in Eccentricity B*Distance from Left End/Length of Beam in Prestress)*(1-(Distance from Left End/Length of Beam in Prestress))
Prestress Drop given Stress in concrete at Same Level due to Prestressing Force
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Stress in Concrete Section/Modulus of Elasticity Concrete
Prestress Drop given Strain due to Bending and Compression in Two Parabolic Tendons
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*(Strain due to Compression+Strain due to Bending)
Area of Concrete Section given Prestress Drop
Go Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop)
Average Stress for Parabolic Tendons
Go Average Stress = Stress at End+2/3*(Stress at Midspan-Stress at End)
Change in Eccentricity of Tendon A due to Parabolic Shape
Go Change in Eccentricity at A = Eccentricity at Midspan for A-Eccentricity at End for A
Stress in Concrete given Prestress Drop
Go Stress in Concrete Section = Prestress Drop/Modular Ratio for Elastic Shortening
Prestress Drop given Modular Ratio
Go Prestress Drop = Modular Ratio for Elastic Shortening*Stress in Concrete Section
Component of Strain at Level of First Tendon due to Bending
Go Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress
Change in Eccentricity of Tendon B due to Parabolic Shape
Go Change in Eccentricity B = Eccentricity at Midspan B-Eccentricity at End for B
Prestress Drop
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Change in Strain
Prestress Drop when Two parabolic Tendons are Incorporated
Go Prestress Drop = Modulus of Elasticity of Steel Reinforcement*Concrete Strain

Component of Strain at Level of First Tendon due to Bending Formula

Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress
εc2 = ΔL/L

What are the various Systems of Prestresisng?

1 Pre-tensioning: In this system the tendons are first tensioned between rigid anchors.
2 Post tensioning: In this system the concrete units are first cast by incorporating ducts on groves to house the tendons.
3 Thermo electric prestressing: In this system, the method of prestressing by heated tendons, anchored by passing electric current in the high tensile wires.
4 Chemical Prestressing: In this system, the method is made possible by the development of expanding cement (calcium-sulpho aluminates). The expansion of concrete is restrained by high tensile steel wires.

How to Calculate Component of Strain at Level of First Tendon due to Bending?

Component of Strain at Level of First Tendon due to Bending calculator uses Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress to calculate the Strain due to Bending, The Component of Strain at Level of First Tendon due to Bending is defined as the ration between change in length of the beam to original length of beam. Strain due to Bending is denoted by εc2 symbol.

How to calculate Component of Strain at Level of First Tendon due to Bending using this online calculator? To use this online calculator for Component of Strain at Level of First Tendon due to Bending, enter Change in Length Dimension (ΔL) & Length of Beam in Prestress (L) and hit the calculate button. Here is how the Component of Strain at Level of First Tendon due to Bending calculation can be explained with given input values -> 0.03 = 0.3/10.2.

FAQ

What is Component of Strain at Level of First Tendon due to Bending?
The Component of Strain at Level of First Tendon due to Bending is defined as the ration between change in length of the beam to original length of beam and is represented as εc2 = ΔL/L or Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress. Change in Length Dimension is produced when a force is applied to a wire or rod parallel to its length L0, either stretching it (a tension) or compressing it & Length of Beam in Prestress is the center to center distance between the supports or the effective length of the beam.
How to calculate Component of Strain at Level of First Tendon due to Bending?
The Component of Strain at Level of First Tendon due to Bending is defined as the ration between change in length of the beam to original length of beam is calculated using Strain due to Bending = Change in Length Dimension/Length of Beam in Prestress. To calculate Component of Strain at Level of First Tendon due to Bending, you need Change in Length Dimension (ΔL) & Length of Beam in Prestress (L). With our tool, you need to enter the respective value for Change in Length Dimension & Length of Beam in Prestress 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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