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Crossing length of X Shape given top angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crossing Length = (Thickness/2)*cosec(Top angle/2)
LCrossing = (t/2)*cosec(AngleTop/2)
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
sec - Trigonometric secant function, sec(Angle)
cosec - Trigonometric cosecant function, cosec(Angle)
Variables Used
Thickness - Thickness is the distance through an object. (Measured in Meter)
Top angle - The Top angle is the top most angle of the Geometry. (Measured in Radian)
STEP 1: Convert Input(s) to Base Unit
Thickness: 1 Meter --> 1 Meter No Conversion Required
Top angle: 0.528 Radian --> 0.528 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LCrossing = (t/2)*cosec(AngleTop/2) --> (1/2)*cosec(0.528/2)
Evaluating ... ...
LCrossing = 1.91611960440825
STEP 3: Convert Result to Output's Unit
1.91611960440825 Meter --> No Conversion Required
FINAL ANSWER
1.91611960440825 Meter <-- Crossing Length
(Calculation completed in 00.016 seconds)

10+ X Shape Calculators

Perimeter of X Shape
Perimeter = 4*(Thickness+Length-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))) Go
Inner arm length of X Shape
Inner arm length = Length/2-Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Crossing length of X Shape
Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height)) Go
Area of X Shape given crossing length
Area = (2*Length*Thickness*sin(Top angle))-(((Crossing Length)^2)*sin(Top angle)) Go
Crossing length of X Shape given top angle
Crossing Length = (Thickness/2)*cosec(Top angle/2) Go
Bottom angle of X Shape
Bottom angle = 2*atan(Width/Height) Go
Right angle of X Shape
Right angle = 2*atan(Height/Width) Go
Left angle of X Shape
Left angle = 2*atan(Height/Width) Go
Top angle of X Shape
Top angle = 2*atan(Width/Height) Go
Outer arm length of X Shape
Outer Arm Length = Length/2 Go

Crossing length of X Shape given top angle Formula

Crossing Length = (Thickness/2)*cosec(Top angle/2)
LCrossing = (t/2)*cosec(AngleTop/2)

What is X Shape?

When a parallelogram shaped bar is reflected and connected with the original bar in the center then the formed shape is known as X shape. The intersection of both bars is a rhombus of which side length is called crossing length.

How to Calculate Crossing length of X Shape given top angle?

Crossing length of X Shape given top angle calculator uses Crossing Length = (Thickness/2)*cosec(Top angle/2) to calculate the Crossing Length, The Crossing length of X Shape given top angle formula is defined as the length of side of rhombus formed by intersection of planes in X shape calculated using top angle of the X Shape. Crossing Length is denoted by LCrossing symbol.

How to calculate Crossing length of X Shape given top angle using this online calculator? To use this online calculator for Crossing length of X Shape given top angle, enter Thickness (t) & Top angle (AngleTop) and hit the calculate button. Here is how the Crossing length of X Shape given top angle calculation can be explained with given input values -> 1.91612 = (1/2)*cosec(0.528/2).

FAQ

What is Crossing length of X Shape given top angle?
The Crossing length of X Shape given top angle formula is defined as the length of side of rhombus formed by intersection of planes in X shape calculated using top angle of the X Shape and is represented as LCrossing = (t/2)*cosec(AngleTop/2) or Crossing Length = (Thickness/2)*cosec(Top angle/2). Thickness is the distance through an object & The Top angle is the top most angle of the Geometry.
How to calculate Crossing length of X Shape given top angle?
The Crossing length of X Shape given top angle formula is defined as the length of side of rhombus formed by intersection of planes in X shape calculated using top angle of the X Shape is calculated using Crossing Length = (Thickness/2)*cosec(Top angle/2). To calculate Crossing length of X Shape given top angle, you need Thickness (t) & Top angle (AngleTop). With our tool, you need to enter the respective value for Thickness & Top angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Crossing Length?
In this formula, Crossing Length uses Thickness & Top angle. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Crossing Length = Thickness*sin(pi/2-atan(Width/Height))/sin(pi-2*atan(Width/Height))
  • Crossing Length = Outer Arm Length-Inner arm length
  • Crossing Length = Thickness+Length-Perimeter/4
  • Crossing Length = Thickness*sin(pi/2-Bottom angle/2)/sin(Bottom angle)
  • Crossing Length = Thickness*sin(Right angle/2)/sin(Right angle)
  • Crossing Length = Thickness*sin(Left angle/2)/sin(Left angle)
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