Pressure at BC 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 BC is the normal force per unit area on face BC.ⓘ Pressure at BC [f₂]

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Formula

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Pressure at BC

Formula

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

Example

`"167.3676N/m²"=(("7000N"*sin("45°")*tan("45°"/2))/"12.25m²")`

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Pressure at BC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure at BC = ((Compressive Force*sin(Oblique Angle)*tan(Oblique Angle/2))/Cross-Sectional Area for Obliique Plane)
f₂ = ((F*sin(φ)*tan(φ/2))/A_op)
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 BC - (Measured in Pascal) - Pressure at BC is the normal force per unit area on face BC.
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

f₂ = ((F*sin(φ)*tan(φ/2))/A_op) --> ((7000*sin(0.785398163397301)*tan(0.785398163397301/2))/12.25)

Evaluating ... ...

f₂ = 167.367553607628

STEP 3: Convert Result to Output's Unit

167.367553607628 Pascal -->167.367553607628 Newton per Square Meter (Check conversion here)

FINAL ANSWER

167.367553607628 ≈ 167.3676 Newton per Square Meter <-- Pressure at BC

(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 BC Formula

Pressure at BC = ((Compressive Force*sin(Oblique Angle)*tan(Oblique Angle/2))/Cross-Sectional Area for Obliique Plane)
f₂ = ((F*sin(φ)*tan(φ/2))/A_op)

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 BC?

Pressure at BC calculator uses Pressure at BC = ((Compressive Force*sin(Oblique Angle)*tan(Oblique Angle/2))/Cross-Sectional Area for Obliique Plane) to calculate the Pressure at BC, The Pressure at BC formula is defined as net normal force per unit area of face BC which can be calculated by compressive force, area and oblique angle. Pressure at BC is denoted by f₂ symbol.

How to calculate Pressure at BC using this online calculator? To use this online calculator for Pressure at BC, 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 BC calculation can be explained with given input values -> 167.3676 = ((7000*sin(0.785398163397301)*tan(0.785398163397301/2))/12.25).

FAQ

What is Pressure at BC?

The Pressure at BC formula is defined as net normal force per unit area of face BC which can be calculated by compressive force, area and oblique angle and is represented as f₂ = ((F*sin(φ)*tan(φ/2))/A_op) or Pressure at BC = ((Compressive Force*sin(Oblique Angle)*tan(Oblique Angle/2))/Cross-Sectional Area for Obliique Plane). 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 BC?

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