Perpendicular Distance between Two Surfaces given Shear Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear)
d = l/tan(Q)
This formula uses 1 Functions, 3 Variables
Functions Used
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
Perpendicular Distance - (Measured in Meter) - The Perpendicular Distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.
Displacement of Upper Surface - (Measured in Meter) - Displacement of Upper Surface refers to the change in position of the upper layer of an elastic material when subjected to external forces, which is recoverable once the stress is removed.
Angle of Shear - (Measured in Radian) - The Angle of Shear is the angle by which a material element deforms due to applied shear stress.
STEP 1: Convert Input(s) to Base Unit
Displacement of Upper Surface: 15 Meter --> 15 Meter No Conversion Required
Angle of Shear: 82.41 Degree --> 1.43832583656826 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = l/tan(Q) --> 15/tan(1.43832583656826)
Evaluating ... ...
d = 1.99876277109706
STEP 3: Convert Result to Output's Unit
1.99876277109706 Meter --> No Conversion Required
FINAL ANSWER
1.99876277109706 1.998763 Meter <-- Perpendicular Distance
(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology (IIIT), Guwahati
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Strain Calculators

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​ LaTeX ​ Go Displacement of Upper Surface = tan(Angle of Shear)*Perpendicular Distance
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​ LaTeX ​ Go Original Volume = Change in Volume/Volumetric Strain
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Perpendicular Distance between Two Surfaces given Shear Angle Formula

​LaTeX ​Go
Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear)
d = l/tan(Q)

What is Shear Angle ?

The Shear Angle is the angle that quantifies the angular deformation of a material element subjected to shear stress. It represents the distortion from the original right angle between two initially perpendicular lines or planes within the material due to the applied shear force.

How to Calculate Perpendicular Distance between Two Surfaces given Shear Angle?

Perpendicular Distance between Two Surfaces given Shear Angle calculator uses Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear) to calculate the Perpendicular Distance, Perpendicular Distance between Two Surfaces given Shear Angle formula is defined as a measure of the shortest distance between two surfaces that are not parallel to each other, taking into account the angle of slant or tilt between them, which is essential in understanding the geometry and orientation of these surfaces in various engineering and physics applications. Perpendicular Distance is denoted by d symbol.

How to calculate Perpendicular Distance between Two Surfaces given Shear Angle using this online calculator? To use this online calculator for Perpendicular Distance between Two Surfaces given Shear Angle, enter Displacement of Upper Surface (l) & Angle of Shear (Q) and hit the calculate button. Here is how the Perpendicular Distance between Two Surfaces given Shear Angle calculation can be explained with given input values -> 1.974787 = 15/tan(1.43832583656826).

FAQ

What is Perpendicular Distance between Two Surfaces given Shear Angle?
Perpendicular Distance between Two Surfaces given Shear Angle formula is defined as a measure of the shortest distance between two surfaces that are not parallel to each other, taking into account the angle of slant or tilt between them, which is essential in understanding the geometry and orientation of these surfaces in various engineering and physics applications and is represented as d = l/tan(Q) or Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear). Displacement of Upper Surface refers to the change in position of the upper layer of an elastic material when subjected to external forces, which is recoverable once the stress is removed & The Angle of Shear is the angle by which a material element deforms due to applied shear stress.
How to calculate Perpendicular Distance between Two Surfaces given Shear Angle?
Perpendicular Distance between Two Surfaces given Shear Angle formula is defined as a measure of the shortest distance between two surfaces that are not parallel to each other, taking into account the angle of slant or tilt between them, which is essential in understanding the geometry and orientation of these surfaces in various engineering and physics applications is calculated using Perpendicular Distance = Displacement of Upper Surface/tan(Angle of Shear). To calculate Perpendicular Distance between Two Surfaces given Shear Angle, you need Displacement of Upper Surface (l) & Angle of Shear (Q). With our tool, you need to enter the respective value for Displacement of Upper Surface & Angle of Shear 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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