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Size Factor for Adjustment in Design Value for Bending Formula

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Size Factor is the factors that takes non-homogeneity of wood into account. Check FAQs

C F = {(\frac{12}{d})}^{\frac{1}{9}}

C_F - Size Factor?d - Depth of Cross Section?

Size Factor for Adjustment in Design Value for Bending Example

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Here is how the Size Factor for Adjustment in Design Value for Bending equation looks like with Values.

Here is how the Size Factor for Adjustment in Design Value for Bending equation looks like with Units.

Here is how the Size Factor for Adjustment in Design Value for Bending equation looks like.

1.0479 = {(\frac{12}{200})}^{\frac{1}{9}}

1.0479 = {(\frac{12}{200mm})}^{\frac{1}{9}}

1.0479 = {(\frac{12}{200})}^{\frac{1}{9}}

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Size Factor for Adjustment in Design Value for Bending Solution

Follow our step by step solution on how to calculate Size Factor for Adjustment in Design Value for Bending?

FIRST Step Consider the formula

C F = {(\frac{12}{d})}^{\frac{1}{9}}

Next Step Substitute values of Variables

∴

C F = {(\frac{12}{200mm})}^{\frac{1}{9}}

Next Step Convert Units

∴

C F = {(\frac{12}{7.874in})}^{\frac{1}{9}}

Next Step Prepare to Evaluate

∴

C F = {(\frac{12}{7.874})}^{\frac{1}{9}}

Next Step Evaluate

∴

C F = 1.04792852699503

LAST Step Rounding Answer

∴

C F = 1.0479

Size Factor for Adjustment in Design Value for Bending Formula Elements

Variables

Size Factor

Size Factor is the factors that takes non-homogeneity of wood into account.

Symbol: C_F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Size Factor

Depth of Cross Section

Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cross Section

Other formulas in Radial Stresses and Curvature Factor category

Go Radial Stress Induced by Bending Moment in Member

σ r = 3 \cdot \frac{M' b}{2 \cdot R \cdot w \cdot d}

Go Bending Moment given Radial Stress in Member

M' b = \frac{2 \cdot σ r \cdot R \cdot w \cdot d}{3}

Go Radius of Curvature given Radial Stress in Member

R = \frac{3 \cdot M' b}{2 \cdot σ r \cdot w \cdot d}

Go Cross Section Width given Radial Stress in Member

w = \frac{3 \cdot M' b}{2 \cdot σ r \cdot R \cdot d}

How to Evaluate Size Factor for Adjustment in Design Value for Bending?

Size Factor for Adjustment in Design Value for Bending evaluator uses Size Factor = (12/Depth of Cross Section)^(1/9) to evaluate the Size Factor, The Size Factor for Adjustment in Design Value for Bending formula is defined as the factors that takes non-homogeneity of wood into account. Size Factor is denoted by C_F symbol.

How to evaluate Size Factor for Adjustment in Design Value for Bending using this online evaluator? To use this online evaluator for Size Factor for Adjustment in Design Value for Bending, enter Depth of Cross Section (d) and hit the calculate button.

FAQs on Size Factor for Adjustment in Design Value for Bending

What is the formula to find Size Factor for Adjustment in Design Value for Bending?

The formula of Size Factor for Adjustment in Design Value for Bending is expressed as Size Factor = (12/Depth of Cross Section)^(1/9). Here is an example- 1.047929 = (12/0.2)^(1/9).

How to calculate Size Factor for Adjustment in Design Value for Bending?

With Depth of Cross Section (d) we can find Size Factor for Adjustment in Design Value for Bending using the formula - Size Factor = (12/Depth of Cross Section)^(1/9).

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