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Allowable Compressive Stress Inclined to Grain Formula

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Allowable Compressive Stress Inclined to Grain is the minimum compressive stress that a timber member can sustain when inclined to grain. Check FAQs

N = \frac{P \cdot Q}{P \cdot ({\sin (θ)}^{2}) + Q \cdot ({\cos (θ)}^{2})}

N - Allowable Compressive Stress Inclined to Grain?P - Allowable Compressive Stress Parallel to Grain?Q - Allowable Compressive Stress Normal to Grain?θ - Angle between Stress and Grain?

Allowable Compressive Stress Inclined to Grain Example

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Here is how the Allowable Compressive Stress Inclined to Grain equation looks like with Values.

Here is how the Allowable Compressive Stress Inclined to Grain equation looks like with Units.

Here is how the Allowable Compressive Stress Inclined to Grain equation looks like.

2 = \frac{10 \cdot 2}{10 \cdot ({\sin (90)}^{2}) + 2 \cdot ({\cos (90)}^{2})}

2N = \frac{10N \cdot 2N}{10N \cdot ({\sin (90°)}^{2}) + 2N \cdot ({\cos (90°)}^{2})}

2 = \frac{10 \cdot 2}{10 \cdot ({\sin (90)}^{2}) + 2 \cdot ({\cos (90)}^{2})}

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Allowable Compressive Stress Inclined to Grain Solution

Follow our step by step solution on how to calculate Allowable Compressive Stress Inclined to Grain?

FIRST Step Consider the formula

N = \frac{P \cdot Q}{P \cdot ({\sin (θ)}^{2}) + Q \cdot ({\cos (θ)}^{2})}

Next Step Substitute values of Variables

∴

N = \frac{10N \cdot 2N}{10N \cdot ({\sin (90°)}^{2}) + 2N \cdot ({\cos (90°)}^{2})}

Next Step Convert Units

∴

N = \frac{10N \cdot 2N}{10N \cdot ({\sin (1.5708rad)}^{2}) + 2N \cdot ({\cos (1.5708rad)}^{2})}

Next Step Prepare to Evaluate

∴

N = \frac{10 \cdot 2}{10 \cdot ({\sin (1.5708)}^{2}) + 2 \cdot ({\cos (1.5708)}^{2})}

LAST Step Evaluate

∴

N = 2N

Allowable Compressive Stress Inclined to Grain Formula Elements

Variables

Functions

Allowable Compressive Stress Inclined to Grain

Allowable Compressive Stress Inclined to Grain is the minimum compressive stress that a timber member can sustain when inclined to grain.

Symbol: N

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Allowable Compressive Stress Inclined to Grain

Allowable Compressive Stress Parallel to Grain

Allowable Compressive Stress Parallel to Grain is the minimum compressive stress that a timber member can sustain when parallel to grain.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Allowable Compressive Stress Parallel to Grain

Allowable Compressive Stress Normal to Grain

Allowable Compressive Stress Normal to Grain is the minimum compressive stress that a timber member can sustain when normal to grain.

Symbol: Q

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Allowable Compressive Stress Normal to Grain

Angle between Stress and Grain

Angle between stress and grain is the angle between direction of stress N and direction of grain.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle between Stress and Grain

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Compression on Oblique Plane category

Go Pressure at AC

f 1 = (\frac{F \cdot \sin (φ)}{A op \cdot \tan (\frac{φ}{2})})

Go Pressure at BC

f 2 = (\frac{F \cdot \sin (φ) \cdot \tan (\frac{φ}{2})}{A op})

How to Evaluate Allowable Compressive Stress Inclined to Grain?

Allowable Compressive Stress Inclined to Grain evaluator uses Allowable Compressive Stress Inclined to Grain = (Allowable Compressive Stress Parallel to Grain*Allowable Compressive Stress Normal to Grain)/(Allowable Compressive Stress Parallel to Grain*(sin(Angle between Stress and Grain)^2)+Allowable Compressive Stress Normal to Grain*(cos(Angle between Stress and Grain)^2)) to evaluate the Allowable Compressive Stress Inclined to Grain, The Allowable Compressive Stress Inclined to Grain formula calculates the maximum compressive stress allowed when angle between the direction of stress N and direction of grain is known. Allowable Compressive Stress Inclined to Grain is denoted by N symbol.

How to evaluate Allowable Compressive Stress Inclined to Grain using this online evaluator? To use this online evaluator for Allowable Compressive Stress Inclined to Grain, enter Allowable Compressive Stress Parallel to Grain (P), Allowable Compressive Stress Normal to Grain (Q) & Angle between Stress and Grain (θ) and hit the calculate button.

FAQs on Allowable Compressive Stress Inclined to Grain

What is the formula to find Allowable Compressive Stress Inclined to Grain?

The formula of Allowable Compressive Stress Inclined to Grain is expressed as Allowable Compressive Stress Inclined to Grain = (Allowable Compressive Stress Parallel to Grain*Allowable Compressive Stress Normal to Grain)/(Allowable Compressive Stress Parallel to Grain*(sin(Angle between Stress and Grain)^2)+Allowable Compressive Stress Normal to Grain*(cos(Angle between Stress and Grain)^2)). Here is an example- 2 = (10*2)/(10*(sin(1.5707963267946)^2)+2*(cos(1.5707963267946)^2)).

How to calculate Allowable Compressive Stress Inclined to Grain?

With Allowable Compressive Stress Parallel to Grain (P), Allowable Compressive Stress Normal to Grain (Q) & Angle between Stress and Grain (θ) we can find Allowable Compressive Stress Inclined to Grain using the formula - Allowable Compressive Stress Inclined to Grain = (Allowable Compressive Stress Parallel to Grain*Allowable Compressive Stress Normal to Grain)/(Allowable Compressive Stress Parallel to Grain*(sin(Angle between Stress and Grain)^2)+Allowable Compressive Stress Normal to Grain*(cos(Angle between Stress and Grain)^2)). This formula also uses Sine (sin), Cosine (cos) function(s).

Can the Allowable Compressive Stress Inclined to Grain be negative?

No, the Allowable Compressive Stress Inclined to Grain, measured in Force cannot be negative.

Which unit is used to measure Allowable Compressive Stress Inclined to Grain?

Allowable Compressive Stress Inclined to Grain is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Allowable Compressive Stress Inclined to Grain can be measured.

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Allowable Compressive Stress Inclined to Grain Formula

Allowable Compressive Stress Inclined to Grain Example

Allowable Compressive Stress Inclined to Grain Solution

Allowable Compressive Stress Inclined to Grain Formula Elements

Other formulas in Compression on Oblique Plane category

How to Evaluate Allowable Compressive Stress Inclined to Grain?

FAQs on Allowable Compressive Stress Inclined to Grain

Variable Name