Maximum Bending Stress for Load Applied to Narrow Member Face 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%
✖Slenderness ratio, or simply slenderness is an aspect ratio, the quotient between the height and the width of a building.ⓘ Slenderness Ratio [R_B]			+10% -10%

✖Maximum bending stress for load on narrow face is the maximum bending stress (design value) on a section where the load is applied to a narrow face.ⓘ Maximum Bending Stress for Load Applied to Narrow Member Face [F_bE]

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Formula

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Maximum Bending Stress for Load Applied to Narrow Member Face

Formula

`"F"_{"bE"} = ("K"_{"cE"}*"E'")/(("R"_{"B"})^2)`

Example

`"0.125048psi"=("0.7"*"50psi")/(("16.73")^2)`

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Maximum Bending Stress for Load Applied to Narrow Member Face Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^2)
F_bE = (K_cE*E')/((R_B)^2)
This formula uses 4 Variables

Variables Used

Maximum Bending Stress for Load on Narrow Face - (Measured in Pound Per Square Inch) - Maximum bending stress for load on narrow face is the maximum bending stress (design value) on a section where the load is applied to a narrow face.
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.
Slenderness Ratio - Slenderness ratio, or simply slenderness is an aspect ratio, the quotient between the height and the width of a building.

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
Slenderness Ratio: 16.73 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_bE = (K_cE*E')/((R_B)^2) --> (0.7*50)/((16.73)^2)

Evaluating ... ...

F_bE = 0.125047830795279

STEP 3: Convert Result to Output's Unit

862.174443362626 Pascal -->0.125047830795279 Pound Per Square Inch (Check conversion here)

FINAL ANSWER

0.125047830795279 ≈ 0.125048 Pound Per Square Inch <-- Maximum Bending Stress for Load on Narrow Face

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Timber Engineering » Bending and Axial » Bending and Axial Compression » Maximum Bending Stress for Load Applied to Narrow Member Face

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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 Bending Stress for Load Applied to Narrow Member Face Formula

Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^2)
F_bE = (K_cE*E')/((R_B)^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 Bending Stress for Load Applied to Narrow Member Face?

Maximum Bending Stress for Load Applied to Narrow Member Face calculator uses Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^2) to calculate the Maximum Bending Stress for Load on Narrow Face, The Maximum Bending Stress for Load Applied to Narrow Member Face formula is defined as the maximum limit of stress that the timber section can survive when the load is applied at the narrow face of section. Maximum Bending Stress for Load on Narrow Face is denoted by F_bE symbol.

How to calculate Maximum Bending Stress for Load Applied to Narrow Member Face using this online calculator? To use this online calculator for Maximum Bending Stress for Load Applied to Narrow Member Face, enter Euler Buckling Constant (K_cE), Adjusted Modulus of Elasticity (E') & Slenderness Ratio (R_B) and hit the calculate button. Here is how the Maximum Bending Stress for Load Applied to Narrow Member Face calculation can be explained with given input values -> 1.8E-5 = (0.7*344737.864655216)/((16.73)^2).

FAQ

What is Maximum Bending Stress for Load Applied to Narrow Member Face?

The Maximum Bending Stress for Load Applied to Narrow Member Face formula is defined as the maximum limit of stress that the timber section can survive when the load is applied at the narrow face of section and is represented as F_bE = (K_cE*E')/((R_B)^2) or Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^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 & Slenderness ratio, or simply slenderness is an aspect ratio, the quotient between the height and the width of a building.

How to calculate Maximum Bending Stress for Load Applied to Narrow Member Face?

The Maximum Bending Stress for Load Applied to Narrow Member Face formula is defined as the maximum limit of stress that the timber section can survive when the load is applied at the narrow face of section is calculated using Maximum Bending Stress for Load on Narrow Face = (Euler Buckling Constant*Adjusted Modulus of Elasticity)/((Slenderness Ratio)^2). To calculate Maximum Bending Stress for Load Applied to Narrow Member Face, you need Euler Buckling Constant (K_cE), Adjusted Modulus of Elasticity (E') & Slenderness Ratio (R_B). With our tool, you need to enter the respective value for Euler Buckling Constant, Adjusted Modulus of Elasticity & Slenderness Ratio 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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