Pressure at AC Calculator

✖Compressive force acting on the timber member.ⓘ Compressive Force [F]			+10% -10%
✖Oblique Angle made by the line of action of force.ⓘ Oblique Angle [φ]			+10% -10%
✖Cross-Sectional Area for Obliique Plane is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area for Obliique Plane [A_op]			+10% -10%

✖Pressure at AC is the normal force per unit area on face AC.ⓘ Pressure at AC [f₁]

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Formula

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Pressure at AC

Formula

`"f"_{"1"} = (("F"*sin("φ"))/("A"_{"op"}*tan("φ"/2)))`

Example

`"975.4896N/m²"=(("7000N"*sin("45°"))/("12.25m²"*tan("45°"/2)))`

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Pressure at AC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2)))
f₁ = ((F*sin(φ))/(A_op*tan(φ/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)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Pressure at AC - (Measured in Pascal) - Pressure at AC is the normal force per unit area on face AC.
Compressive Force - (Measured in Newton) - Compressive force acting on the timber member.
Oblique Angle - (Measured in Radian) - Oblique Angle made by the line of action of force.
Cross-Sectional Area for Obliique Plane - (Measured in Square Meter) - Cross-Sectional Area for Obliique Plane is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Compressive Force: 7000 Newton --> 7000 Newton No Conversion Required
Oblique Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Cross-Sectional Area for Obliique Plane: 12.25 Square Meter --> 12.25 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f₁ = ((F*sin(φ))/(A_op*tan(φ/2))) --> ((7000*sin(0.785398163397301))/(12.25*tan(0.785398163397301/2)))

Evaluating ... ...

f₁ = 975.489589249515

STEP 3: Convert Result to Output's Unit

975.489589249515 Pascal -->975.489589249515 Newton per Square Meter (Check conversion here)

FINAL ANSWER

975.489589249515 ≈ 975.4896 Newton per Square Meter <-- Pressure at AC

(Calculation completed in 00.004 seconds)

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Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ 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)

Pressure at AC Formula

Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2)))
f₁ = ((F*sin(φ))/(A_op*tan(φ/2)))

What is Pressure?

Pressure is defined as the physical force exerted on an object. The force applied is perpendicular to the surface of objects per unit area.

How to Calculate Pressure at AC?

Pressure at AC calculator uses Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))) to calculate the Pressure at AC, The Pressure at AC formula is defined as net normal force per unit area of face AC which can be calculated by compressive force, area and oblique angle. Pressure at AC is denoted by f₁ symbol.

How to calculate Pressure at AC using this online calculator? To use this online calculator for Pressure at AC, enter Compressive Force (F), Oblique Angle (φ) & Cross-Sectional Area for Obliique Plane (A_op) and hit the calculate button. Here is how the Pressure at AC calculation can be explained with given input values -> 975.4896 = ((7000*sin(0.785398163397301))/(12.25*tan(0.785398163397301/2))).

FAQ

What is Pressure at AC?

The Pressure at AC formula is defined as net normal force per unit area of face AC which can be calculated by compressive force, area and oblique angle and is represented as f₁ = ((F*sin(φ))/(A_op*tan(φ/2))) or Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))). Compressive force acting on the timber member, Oblique Angle made by the line of action of force & Cross-Sectional Area for Obliique Plane is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Pressure at AC?

The Pressure at AC formula is defined as net normal force per unit area of face AC which can be calculated by compressive force, area and oblique angle is calculated using Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))). To calculate Pressure at AC, you need Compressive Force (F), Oblique Angle (φ) & Cross-Sectional Area for Obliique Plane (A_op). With our tool, you need to enter the respective value for Compressive Force, Oblique Angle & Cross-Sectional Area for Obliique Plane 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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