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Pressure at AC Formula

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Pressure at AC is the normal force per unit area on face AC. Check FAQs

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

f₁ - Pressure at AC?F - Compressive Force?φ - Oblique Angle?A_op - Cross-Sectional Area for Obliique Plane?

Pressure at AC Example

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Here is how the Pressure at AC equation looks like with Values.

Here is how the Pressure at AC equation looks like with Units.

Here is how the Pressure at AC equation looks like.

975.4896 = (\frac{7000 \cdot \sin (45)}{12.25 \cdot \tan (\frac{45}{2})})

975.4896N/m² = (\frac{7000N \cdot \sin (45°)}{12.25m² \cdot \tan (\frac{45°}{2})})

975.4896 = (\frac{7000 \cdot \sin (45)}{12.25 \cdot \tan (\frac{45}{2})})

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Pressure at AC Solution

Follow our step by step solution on how to calculate Pressure at AC?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f 1 = (\frac{7000N \cdot \sin (45°)}{12.25m² \cdot \tan (\frac{45°}{2})})

Next Step Convert Units

∴

f 1 = (\frac{7000N \cdot \sin (0.7854rad)}{12.25m² \cdot \tan (\frac{0.7854rad}{2})})

Next Step Prepare to Evaluate

∴

f 1 = (\frac{7000 \cdot \sin (0.7854)}{12.25 \cdot \tan (\frac{0.7854}{2})})

Next Step Evaluate

∴

f 1 = 975.489589249515Pa

Next Step Convert to Output's Unit

∴

f 1 = 975.489589249515N/m²

LAST Step Rounding Answer

∴

f 1 = 975.4896N/m²

Pressure at AC Formula Elements

Variables

Functions

Pressure at AC

Pressure at AC is the normal force per unit area on face AC.

Symbol: f₁

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Pressure at AC

Compressive Force

Compressive force acting on the timber member.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Compressive Force

Oblique Angle

Oblique Angle made by the line of action of force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Oblique Angle

Cross-Sectional Area for Obliique Plane

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.

Symbol: A_op

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area for Obliique Plane

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)

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.

Syntax: tan(Angle)

Other formulas in Compression on Oblique Plane category

Go Allowable Compressive Stress Inclined to Grain

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

Go Pressure at BC

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

How to Evaluate Pressure at AC?

Pressure at AC evaluator uses Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))) to evaluate 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 evaluate Pressure at AC using this online evaluator? To use this online evaluator for Pressure at AC, enter Compressive Force (F), Oblique Angle (φ) & Cross-Sectional Area for Obliique Plane (A_op) and hit the calculate button.

FAQs on Pressure at AC

What is the formula to find Pressure at AC?

The formula of Pressure at AC is expressed as Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))). Here is an example- 975.4896 = ((7000*sin(0.785398163397301))/(12.25*tan(0.785398163397301/2))).

How to calculate Pressure at AC?

With Compressive Force (F), Oblique Angle (φ) & Cross-Sectional Area for Obliique Plane (A_op) we can find Pressure at AC using the formula - Pressure at AC = ((Compressive Force*sin(Oblique Angle))/(Cross-Sectional Area for Obliique Plane*tan(Oblique Angle/2))). This formula also uses Sine (sin), Tangent (tan) function(s).

Can the Pressure at AC be negative?

No, the Pressure at AC, measured in Pressure cannot be negative.

Which unit is used to measure Pressure at AC?

Pressure at AC is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Pressure at AC can be measured.

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Pressure at AC Formula

Pressure at AC Example

Pressure at AC Solution

Pressure at AC Formula Elements

Other formulas in Compression on Oblique Plane category

How to Evaluate Pressure at AC?

FAQs on Pressure at AC

Variable Name