Unit Stress in Extreme Fiber of Concrete Calculator

✖Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.ⓘ Bending Moment of Considered Section [B_M]			+10% -10%
✖Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.ⓘ Distance from Compression Fiber to NA [K_d]			+10% -10%
✖Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia of Beam [I_A]			+10% -10%

✖Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.ⓘ Unit Stress in Extreme Fiber of Concrete [f_{fiber concrete}]

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Formula

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Unit Stress in Extreme Fiber of Concrete

Formula

`"f"_{"fiber concrete"} = "B"_{"M"}*"K"_{"d"}/"I"_{"A"}`

Example

`"49.599MPa"="49.5kN*m"*"100.2mm"/"10E7mm⁴"`

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Unit Stress in Extreme Fiber of Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam
f_{fiber concrete} = B_M*K_d/I_A
This formula uses 4 Variables

Variables Used

Unit Stress in Fiber of Concrete - (Measured in Pascal) - Unit Stress in Fiber of Concrete is the total force acting in the unit area of the body.
Bending Moment of Considered Section - (Measured in Newton Meter) - Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section.
Distance from Compression Fiber to NA - (Measured in Meter) - Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis.
Moment of Inertia of Beam - (Measured in Meter⁴) - Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.

STEP 1: Convert Input(s) to Base Unit

Bending Moment of Considered Section: 49.5 Kilonewton Meter --> 49500 Newton Meter (Check conversion here)
Distance from Compression Fiber to NA: 100.2 Millimeter --> 0.1002 Meter (Check conversion here)
Moment of Inertia of Beam: 100000000 Millimeter⁴ --> 0.0001 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_{fiber concrete} = B_M*K_d/I_A --> 49500*0.1002/0.0001

Evaluating ... ...

f_{fiber concrete} = 49599000

STEP 3: Convert Result to Output's Unit

49599000 Pascal -->49.599 Megapascal (Check conversion here)

FINAL ANSWER

49.599 Megapascal <-- Unit Stress in Fiber of Concrete

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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NSS College of Engineering (NSSCE), Palakkad

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< 9 Check for Stress in Beams Calculators

Moment of Inertia of Transformed Beam Section

Go Moment of Inertia Transformed Beam = (0.5*Beam Width*(Distance from Compression Fiber to NA^2))+2*(Modular Ratio for Elastic Shortening-1)*Area of Compression Reinforcement*(Distance Neutral to Compressive Reinforcing Steel^2)+Modular Ratio for Elastic Shortening*(Distance Neutral to Tensile Reinforcing Steel^2)*Area of Tension Reinforcement

Distance from Neutral Axis to Compressive Reinforcing Steel

Go Distance Neutral to Compressive Reinforcing Steel = Unit Stress in Compressive Reinforcing Steel*Moment of Inertia of Beam/(2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Compressive Reinforcing Steel

Go Unit Stress in Compressive Reinforcing Steel = 2*Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Compressive Reinforcing Steel/Moment of Inertia of Beam

Distance from Neutral Axis to Tensile Reinforcing Steel

Go Distance Neutral to Tensile Reinforcing Steel = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section)

Unit Stress in Tensile Reinforcing Steel

Go Unit Stress in Tensile Reinforcing Steel = Elasticity Ratio of Steel to Concrete*Bending Moment of Considered Section*Distance Neutral to Tensile Reinforcing Steel/Moment of Inertia of Beam

Total Bending Moment given Unit Stress in Tensile Reinforcing Steel

Go Bending Moment = Unit Stress in Tensile Reinforcing Steel*Moment of Inertia of Beam/(Elasticity Ratio of Steel to Concrete*Distance Neutral to Tensile Reinforcing Steel)

Total Bending Moment given Unit Stress in Extreme Fiber of Concrete

Go Bending Moment of Considered Section = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Distance from Compression Fiber to NA

Distance from Neutral Axis to Face of Concrete

Go Distance from Compression Fiber to NA = Unit Stress in Fiber of Concrete*Moment of Inertia of Beam/Bending Moment of Considered Section

Unit Stress in Extreme Fiber of Concrete

Go Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam

Unit Stress in Extreme Fiber of Concrete Formula

Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam
f_{fiber concrete} = B_M*K_d/I_A

Define Concrete?

Concrete, in construction, structural material consisting of a hard, chemically inert particulate substance, known as aggregate (usually sand and gravel), that is bonded together by cement and water. concrete. Construction workers pouring concrete.

How to Calculate Unit Stress in Extreme Fiber of Concrete?

Unit Stress in Extreme Fiber of Concrete calculator uses Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam to calculate the Unit Stress in Fiber of Concrete, The Unit Stress in Extreme Fiber of Concrete formula is defined as the total force acting on a unit area of the body. Unit Stress in Fiber of Concrete is denoted by f_{fiber concrete} symbol.

How to calculate Unit Stress in Extreme Fiber of Concrete using this online calculator? To use this online calculator for Unit Stress in Extreme Fiber of Concrete, enter Bending Moment of Considered Section (B_M), Distance from Compression Fiber to NA (K_d) & Moment of Inertia of Beam (I_A) and hit the calculate button. Here is how the Unit Stress in Extreme Fiber of Concrete calculation can be explained with given input values -> 5E-5 = 49500*0.1002/0.0001.

FAQ

What is Unit Stress in Extreme Fiber of Concrete?

The Unit Stress in Extreme Fiber of Concrete formula is defined as the total force acting on a unit area of the body and is represented as f_{fiber concrete} = B_M*K_d/I_A or Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam. Bending Moment of Considered Section is defined as the sum of moment of all forces acting on one side of the beam or section, Distance from Compression Fiber to NA is the distance from the extreme compression fiber or surface to the neutral axis & Moment of Inertia of Beam is a moment about the centroidal axis without considering mass.

How to calculate Unit Stress in Extreme Fiber of Concrete?

The Unit Stress in Extreme Fiber of Concrete formula is defined as the total force acting on a unit area of the body is calculated using Unit Stress in Fiber of Concrete = Bending Moment of Considered Section*Distance from Compression Fiber to NA/Moment of Inertia of Beam. To calculate Unit Stress in Extreme Fiber of Concrete, you need Bending Moment of Considered Section (B_M), Distance from Compression Fiber to NA (K_d) & Moment of Inertia of Beam (I_A). With our tool, you need to enter the respective value for Bending Moment of Considered Section, Distance from Compression Fiber to NA & Moment of Inertia of Beam 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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