Allowable Compressive Stress Inclined to Grain Calculator

✖Allowable Compressive Stress Parallel to Grain is the minimum compressive stress that a timber member can sustain when parallel to grain.ⓘ Allowable Compressive Stress Parallel to Grain [P]			+10% -10%
✖Allowable Compressive Stress Normal to Grain is the minimum compressive stress that a timber member can sustain when normal to grain.ⓘ Allowable Compressive Stress Normal to Grain [Q]			+10% -10%
✖Angle between stress and grain is the angle between direction of stress N and direction of grain.ⓘ Angle between Stress and Grain [θ]			+10% -10%

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

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Formula

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Allowable Compressive Stress Inclined to Grain

Formula

`"N" = ("P"*"Q")/("P"*(sin("θ")^2)+"Q"*(cos("θ")^2))`

Example

`"2N"=("10N"*"2N")/("10N"*(sin("90°")^2)+"2N"*(cos("90°")^2))`

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Allowable Compressive Stress Inclined to Grain Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
N = (P*Q)/(P*(sin(θ)^2)+Q*(cos(θ)^2))
This formula uses 2 Functions, 4 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Allowable Compressive Stress Inclined to Grain - (Measured in Newton) - Allowable Compressive Stress Inclined to Grain is the minimum compressive stress that a timber member can sustain when inclined to grain.
Allowable Compressive Stress Parallel to Grain - (Measured in Newton) - Allowable Compressive Stress Parallel to Grain is the minimum compressive stress that a timber member can sustain when parallel to grain.
Allowable Compressive Stress Normal to Grain - (Measured in Newton) - Allowable Compressive Stress Normal to Grain is the minimum compressive stress that a timber member can sustain when normal to grain.
Angle between Stress and Grain - (Measured in Radian) - Angle between stress and grain is the angle between direction of stress N and direction of grain.

STEP 1: Convert Input(s) to Base Unit

Allowable Compressive Stress Parallel to Grain: 10 Newton --> 10 Newton No Conversion Required
Allowable Compressive Stress Normal to Grain: 2 Newton --> 2 Newton No Conversion Required
Angle between Stress and Grain: 90 Degree --> 1.5707963267946 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (P*Q)/(P*(sin(θ)^2)+Q*(cos(θ)^2)) --> (10*2)/(10*(sin(1.5707963267946)^2)+2*(cos(1.5707963267946)^2))

Evaluating ... ...

N = 2

STEP 3: Convert Result to Output's Unit

2 Newton --> No Conversion Required

FINAL ANSWER

2 Newton <-- Allowable Compressive Stress Inclined to Grain

(Calculation completed in 00.004 seconds)

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Credits

Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 3 Compression on Oblique Plane Calculators

Allowable Compressive Stress Inclined to Grain

Go 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))

Pressure at AC

Go Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2)))

Pressure at BC

Go Pressure at BC = ((Compressive Force*sin(Oblique Angle)*tan(Oblique Angle/2))/Cross-Sectional Area for Obliique Plane)

Allowable Compressive Stress Inclined to Grain Formula

How do you calculate Allowable Compressive Stress?

Divide the yield strength by the factor of safety to calculate the allowable stress. For example: allowable stress of A36 steel = 36,000 psi / 4.0 = 9,000 pounds per square inch.

How to Calculate Allowable Compressive Stress Inclined to Grain?

Allowable Compressive Stress Inclined to Grain calculator 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 calculate 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 calculate Allowable Compressive Stress Inclined to Grain using this online calculator? To use this online calculator 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. Here is how the Allowable Compressive Stress Inclined to Grain calculation can be explained with given input values -> 2 = (10*2)/(10*(sin(1.5707963267946)^2)+2*(cos(1.5707963267946)^2)).

FAQ

What is 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 and is represented as N = (P*Q)/(P*(sin(θ)^2)+Q*(cos(θ)^2)) or 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)). Allowable Compressive Stress Parallel to Grain is the minimum compressive stress that a timber member can sustain when parallel to grain, Allowable Compressive Stress Normal to Grain is the minimum compressive stress that a timber member can sustain when normal to grain & Angle between stress and grain is the angle between direction of stress N and direction of grain.

How to calculate 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 is calculated using 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 calculate Allowable Compressive Stress Inclined to Grain, you need Allowable Compressive Stress Parallel to Grain (P), Allowable Compressive Stress Normal to Grain (Q) & Angle between Stress and Grain (θ). With our tool, you need to enter the respective value for Allowable Compressive Stress Parallel to Grain, Allowable Compressive Stress Normal to Grain & Angle between Stress and Grain 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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