Crossing Length of X Shape given Bottom or Top 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 Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.ⓘ Bottom and Top Angle of X Shape [∠_Bottom/Top]			+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 Bottom or Top Angle [l_Crossing]

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Formula

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Crossing Length of X Shape given Bottom or Top Angle

Formula

`"l"_{"Crossing"} = "t"_{"Bar"}/2*cosec("∠"_{"Bottom/Top"}/2)`

Example

`"2.613126m"="2m"/2*cosec("45°"/2)`

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Crossing Length of X Shape given Bottom or Top Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2)
l_Crossing = t_Bar/2*cosec(∠_Bottom/Top/2)
This formula uses 2 Functions, 3 Variables

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(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.
Bottom and Top Angle of X Shape - (Measured in Radian) - The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.

STEP 1: Convert Input(s) to Base Unit

Bar Thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required
Bottom and Top Angle of X Shape: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Crossing = t_Bar/2*cosec(∠_Bottom/Top/2) --> 2/2*cosec(0.785398163397301/2)

Evaluating ... ...

l_Crossing = 2.61312592975322

STEP 3: Convert Result to Output's Unit

2.61312592975322 Meter --> No Conversion Required

FINAL ANSWER

2.61312592975322 ≈ 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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< 4 Crossing Length of X Shape Calculators

Crossing Length of X Shape given Left or Right Angle

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

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

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

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

Crossing Length of X Shape given Bottom or Top Angle Formula

Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2)
l_Crossing = t_Bar/2*cosec(∠_Bottom/Top/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 Bottom or Top Angle?

Crossing Length of X Shape given Bottom or Top Angle calculator uses Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2) to calculate the Crossing Length of X Shape, The Crossing Length of X Shape given Bottom or Top 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 bottom or top 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 Bottom or Top Angle using this online calculator? To use this online calculator for Crossing Length of X Shape given Bottom or Top Angle, enter Bar Thickness of X Shape (t_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top) and hit the calculate button. Here is how the Crossing Length of X Shape given Bottom or Top Angle calculation can be explained with given input values -> 2.613126 = 2/2*cosec(0.785398163397301/2).

FAQ

What is Crossing Length of X Shape given Bottom or Top Angle?

The Crossing Length of X Shape given Bottom or Top 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 bottom or top angle of the X Shape and is represented as l_Crossing = t_Bar/2*cosec(∠_Bottom/Top/2) or Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2). Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape & The Bottom and Top Angle of X Shape are the bottom-most and top-most angles of the X-Shape formed due to the intersection of two bars forming the X-Shape.

How to calculate Crossing Length of X Shape given Bottom or Top Angle?

The Crossing Length of X Shape given Bottom or Top 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 bottom or top angle of the X Shape is calculated using Crossing Length of X Shape = Bar Thickness of X Shape/2*cosec(Bottom and Top Angle of X Shape/2). To calculate Crossing Length of X Shape given Bottom or Top Angle, you need Bar Thickness of X Shape (t_Bar) & Bottom and Top Angle of X Shape (∠_Bottom/Top). With our tool, you need to enter the respective value for Bar Thickness of X Shape & Bottom and Top 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 & Bottom and Top 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 = 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
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)

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