Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle Calculator

✖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 [l_Crossing]			+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%

✖Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.ⓘ Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle [t_Bar]

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Formula

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Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle

Formula

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

Example

`"2.296101m"=2*"3m"*sin("45°"/2)`

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Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Crossing Length of X Shape: 3 Meter --> 3 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

t_Bar = 2*l_Crossing*sin(∠_Bottom/Top/2) --> 2*3*sin(0.785398163397301/2)

Evaluating ... ...

t_Bar = 2.29610059419013

STEP 3: Convert Result to Output's Unit

2.29610059419013 Meter --> No Conversion Required

FINAL ANSWER

2.29610059419013 ≈ 2.296101 Meter <-- Bar Thickness of X Shape

(Calculation completed in 00.004 seconds)

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Created by Devendar Kachhwaha

Indian Institute of technology (IIT-BHU), Varanasi

Devendar Kachhwaha has created this Calculator and 10+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< 2 Bar Thickness of X Shape Calculators

Bar Thickness of X Shape given Perimeter and Arm Lengths

Go Bar Thickness of X Shape = Perimeter of X Shape/4-Inner Arm Length of X Shape-Outer Arm Length of X Shape

Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle

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

Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle Formula

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

Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle calculator uses Bar Thickness of X Shape = 2*Crossing Length of X Shape*sin(Bottom and Top Angle of X Shape/2) to calculate the Bar Thickness of X Shape, Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle formula is defined as the thickness of the parallelogram bar used in the X Shape, calculated using its crossing length and bottom or top angle. Bar Thickness of X Shape is denoted by t_Bar symbol.

How to calculate Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle using this online calculator? To use this online calculator for Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle, enter Crossing Length of X Shape (l_Crossing) & Bottom and Top Angle of X Shape (∠_Bottom/Top) and hit the calculate button. Here is how the Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle calculation can be explained with given input values -> 2.296101 = 2*3*sin(0.785398163397301/2).

FAQ

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

Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle formula is defined as the thickness of the parallelogram bar used in the X Shape, calculated using its crossing length and bottom or top angle and is represented as t_Bar = 2*l_Crossing*sin(∠_Bottom/Top/2) or Bar Thickness of X Shape = 2*Crossing Length of X Shape*sin(Bottom and Top Angle of X Shape/2). 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 & 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 Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle?

Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle formula is defined as the thickness of the parallelogram bar used in the X Shape, calculated using its crossing length and bottom or top angle is calculated using Bar Thickness of X Shape = 2*Crossing Length of X Shape*sin(Bottom and Top Angle of X Shape/2). To calculate Bar Thickness of X Shape given Crossing Length and Bottom or Top Angle, you need Crossing Length of X Shape (l_Crossing) & Bottom and Top Angle of X Shape (∠_Bottom/Top). With our tool, you need to enter the respective value for Crossing Length 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 Bar Thickness of X Shape?

In this formula, Bar Thickness of X Shape uses Crossing Length of X Shape & Bottom and Top Angle of X Shape. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bar Thickness of X Shape = Perimeter of X Shape/4-Inner Arm Length of X Shape-Outer Arm Length of X Shape

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