Maximum Compressive Stress for Biaxial Bending Calculator

✖Euler Buckling Constant is a constant for the buckling of column. Here the constant is used for compressive loading.ⓘ Euler Buckling Constant [K_cE]			+10% -10%
✖Adjusted Modulus of Elasticity is the modulus of elasticity multiplied by adjustment factors in timber design.ⓘ Adjusted Modulus of Elasticity [E']			+10% -10%
✖Effective column length in direction d2 is the effective length of column in the direction d2(the narrow width).ⓘ Effective Column Length in Direction d2 [L_e2]			+10% -10%
✖Width of narrow face is the distance between two points along the narrow width line of timber section.ⓘ Width of Narrow Face [d₂]			+10% -10%

✖The maximum compressive stress is the maximum limit of compressive stress under uniaxial or biaxial loading.ⓘ Maximum Compressive Stress for Biaxial Bending [F_cE]

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Formula

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Maximum Compressive Stress for Biaxial Bending

Formula

`"F"_{"cE"} = (("K"_{"cE"}*"E'")/("L"_{"e2"}/"d"_{"2"})^2)`

Example

`"27.65432psi"=(("0.7"*"50psi")/("45in"/"40in")^2)`

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Maximum Compressive Stress for Biaxial Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2)
F_cE = ((K_cE*E')/(L_e2/d₂)^2)
This formula uses 5 Variables

Variables Used

Maximum Compressive Stress - (Measured in Pound Per Square Inch) - The maximum compressive stress is the maximum limit of compressive stress under uniaxial or biaxial loading.
Euler Buckling Constant - Euler Buckling Constant is a constant for the buckling of column. Here the constant is used for compressive loading.
Adjusted Modulus of Elasticity - (Measured in Pound Per Square Inch) - Adjusted Modulus of Elasticity is the modulus of elasticity multiplied by adjustment factors in timber design.
Effective Column Length in Direction d2 - (Measured in Inch) - Effective column length in direction d2 is the effective length of column in the direction d2(the narrow width).
Width of Narrow Face - (Measured in Inch) - Width of narrow face is the distance between two points along the narrow width line of timber section.

STEP 1: Convert Input(s) to Base Unit

Euler Buckling Constant: 0.7 --> No Conversion Required
Adjusted Modulus of Elasticity: 50 Pound Per Square Inch --> 50 Pound Per Square Inch No Conversion Required
Effective Column Length in Direction d2: 45 Inch --> 45 Inch No Conversion Required
Width of Narrow Face: 40 Inch --> 40 Inch No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_cE = ((K_cE*E')/(L_e2/d₂)^2) --> ((0.7*50)/(45/40)^2)

Evaluating ... ...

F_cE = 27.6543209876543

STEP 3: Convert Result to Output's Unit

190669.831315477 Pascal -->27.6543209876543 Pound Per Square Inch (Check conversion here)

FINAL ANSWER

27.6543209876543 ≈ 27.65432 Pound Per Square Inch <-- Maximum Compressive Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Timber Engineering » Bending and Axial » Bending and Axial Compression » Maximum Compressive Stress for Biaxial Bending

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 3 Bending and Axial Compression Calculators

Maximum Compressive Stress for Uniaxial Bending

Go Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Length of Column in Direction d1/Width of Wide Face)^2)

Maximum Compressive Stress for Biaxial Bending

Go Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2)

Maximum Bending Stress for Load Applied to Narrow Member Face

Go Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^2)

Maximum Compressive Stress for Biaxial Bending Formula

Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2)
F_cE = ((K_cE*E')/(L_e2/d₂)^2)

What is Euler Buckling Constant?

Euler buckling constant is the constant which is used for analyzing the timber columns. The value of the constant varies for different grades of lumber. Here,
KbE=0.438 for visually graded lumber and machine-evaluated lumber.
=0.609 for products with a coefficient of variation of 0.11 or less.

What are Visually Graded Timber?

There are different ways of determining the grade of dimension lumber. Historically, “visual” grading is performed where a person looks at all four sides of a piece of lumber and evaluates the characteristics present to determine which of several visual grades the piece belongs. This grader works on a grading chain and quickly evaluates each piece of lumber.

How to Calculate Maximum Compressive Stress for Biaxial Bending?

Maximum Compressive Stress for Biaxial Bending calculator uses Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2) to calculate the Maximum Compressive Stress, The Maximum Compressive Stress for Biaxial Bending formula is defined as the maximum compressive stress on the timber section for a biaxial loading. Maximum Compressive Stress is denoted by F_cE symbol.

How to calculate Maximum Compressive Stress for Biaxial Bending using this online calculator? To use this online calculator for Maximum Compressive Stress for Biaxial Bending, enter Euler Buckling Constant (K_cE), Adjusted Modulus of Elasticity (E'), Effective Column Length in Direction d2 (L_e2) & Width of Narrow Face (d₂) and hit the calculate button. Here is how the Maximum Compressive Stress for Biaxial Bending calculation can be explained with given input values -> 0.004011 = ((0.7*344737.864655216)/(1.14300000000457/1.01600000000406)^2).

FAQ

What is Maximum Compressive Stress for Biaxial Bending?

The Maximum Compressive Stress for Biaxial Bending formula is defined as the maximum compressive stress on the timber section for a biaxial loading and is represented as F_cE = ((K_cE*E')/(L_e2/d₂)^2) or Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2). Euler Buckling Constant is a constant for the buckling of column. Here the constant is used for compressive loading, Adjusted Modulus of Elasticity is the modulus of elasticity multiplied by adjustment factors in timber design, Effective column length in direction d2 is the effective length of column in the direction d2(the narrow width) & Width of narrow face is the distance between two points along the narrow width line of timber section.

How to calculate Maximum Compressive Stress for Biaxial Bending?

The Maximum Compressive Stress for Biaxial Bending formula is defined as the maximum compressive stress on the timber section for a biaxial loading is calculated using Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Column Length in Direction d2/Width of Narrow Face)^2). To calculate Maximum Compressive Stress for Biaxial Bending, you need Euler Buckling Constant (K_cE), Adjusted Modulus of Elasticity (E'), Effective Column Length in Direction d2 (L_e2) & Width of Narrow Face (d₂). With our tool, you need to enter the respective value for Euler Buckling Constant, Adjusted Modulus of Elasticity, Effective Column Length in Direction d2 & Width of Narrow Face 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 Maximum Compressive Stress?

In this formula, Maximum Compressive Stress uses Euler Buckling Constant, Adjusted Modulus of Elasticity, Effective Column Length in Direction d2 & Width of Narrow Face. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Compressive Stress = ((Euler Buckling Constant*Adjusted Modulus of Elasticity)/(Effective Length of Column in Direction d1/Width of Wide Face)^2)

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