Crossing Length of X Shape given Left or Right Angle Calculator

✖Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.ⓘ Bar Thickness of X Shape [t_Bar]			+10% -10%
✖The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.ⓘ Left and Right Angle of X Shape [∠_Left/Right]			+10% -10%

✖The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.ⓘ Crossing Length of X Shape given Left or Right Angle [l_Crossing]

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Crossing Length of X Shape given Left or Right Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape)
l_Crossing = t_Bar*sin(∠_Left/Right/2)/sin(∠_Left/Right)
This formula uses 1 Functions, 3 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)

Variables Used

Crossing Length of X Shape - (Measured in Meter) - The Crossing Length of X Shape is defined as the length of the side of the rhombus formed by the intersection of planes in the X shape.
Bar Thickness of X Shape - (Measured in Meter) - Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.
Left and Right Angle of X Shape - (Measured in Radian) - The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

STEP 1: Convert Input(s) to Base Unit

Bar Thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required
Left and Right Angle of X Shape: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Crossing = t_Bar*sin(∠_Left/Right/2)/sin(∠_Left/Right) --> 2*sin(2.3561944901919/2)/sin(2.3561944901919)

Evaluating ... ...

l_Crossing = 2.61312592975135

STEP 3: Convert Result to Output's Unit

2.61312592975135 Meter --> No Conversion Required

FINAL ANSWER

2.61312592975135 ≈ 2.613126 Meter <-- Crossing Length of X Shape

(Calculation completed in 00.004 seconds)

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Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

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< Crossing Length of X Shape Calculators

Crossing Length of X Shape given Left or Right Angle

LaTeX Go Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape)

Crossing Length of X Shape given Perimeter

LaTeX Go Crossing Length of X Shape = Bar Thickness of X Shape+Bar Length of X Shape-Perimeter of X Shape/4

Crossing Length of X Shape given Bottom or Top Angle

LaTeX Go Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2)

Crossing Length of X Shape given Inner and Outer Arm Lengths

LaTeX Go Crossing Length of X Shape = Outer Arm Length of X Shape-Inner Arm Length of X Shape

Crossing Length of X Shape given Left or Right Angle Formula

LaTeX Go

Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape)
l_Crossing = t_Bar*sin(∠_Left/Right/2)/sin(∠_Left/Right)

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.

How to Calculate Crossing Length of X Shape given Left or Right Angle?

Crossing Length of X Shape given Left or Right Angle calculator uses Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape) to calculate the Crossing Length of X Shape, The Crossing Length of X Shape given Left or Right Angle formula is defined as the length of the side of the rhombus formed by the intersection of planes in an X Shape, calculated using the left or right angle of the X Shape. Crossing Length of X Shape is denoted by l_Crossing symbol.

How to calculate Crossing Length of X Shape given Left or Right Angle using this online calculator? To use this online calculator for Crossing Length of X Shape given Left or Right Angle, enter Bar Thickness of X Shape (t_Bar) & Left and Right Angle of X Shape (∠_Left/Right) and hit the calculate button. Here is how the Crossing Length of X Shape given Left or Right Angle calculation can be explained with given input values -> 2.613126 = 2*sin(2.3561944901919/2)/sin(2.3561944901919).

FAQ

What is Crossing Length of X Shape given Left or Right Angle?

The Crossing Length of X Shape given Left or Right Angle formula is defined as the length of the side of the rhombus formed by the intersection of planes in an X Shape, calculated using the left or right angle of the X Shape and is represented as l_Crossing = t_Bar*sin(∠_Left/Right/2)/sin(∠_Left/Right) or Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape). Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape & The Left and Right Angle of x Shape is the right and left angles of the X Shape, formed due to the intersection of two parallelogram-shaped bars.

How to calculate Crossing Length of X Shape given Left or Right Angle?

The Crossing Length of X Shape given Left or Right Angle formula is defined as the length of the side of the rhombus formed by the intersection of planes in an X Shape, calculated using the left or right angle of the X Shape is calculated using Crossing Length of X Shape = Bar Thickness of X Shape*sin(Left and Right Angle of X Shape/2)/sin(Left and Right Angle of X Shape). To calculate Crossing Length of X Shape given Left or Right Angle, you need Bar Thickness of X Shape (t_Bar) & Left and Right Angle of X Shape (∠_Left/Right). With our tool, you need to enter the respective value for Bar Thickness of X Shape & Left and Right Angle of X Shape 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 of X Shape?

In this formula, Crossing Length of X Shape uses Bar Thickness of X Shape & Left and Right Angle of X Shape. We can use 3 other way(s) to calculate the same, which is/are as follows -

Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2)
Crossing Length of X Shape = Outer Arm Length of X Shape-Inner Arm Length of X Shape
Crossing Length of X Shape = Bar Thickness of X Shape+Bar Length of X Shape-Perimeter of X Shape/4

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