Inner Arm Length of X Shape given Bottom or Top Angle Calculator

✖Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape.ⓘ Bar Length of X Shape [l_Bar]			+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 [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 Inner Arm Length of X Shape is the length of the inner arm of the X Shape.ⓘ Inner Arm Length of X Shape given Bottom or Top Angle [l_{Inner Arm}]

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Inner Arm Length of X Shape given Bottom or Top Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2))
l_{Inner Arm} = l_Bar/2-t_Bar/(2*cos(pi/2-∠_Bottom/Top/2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Inner Arm Length of X Shape - (Measured in Meter) - The Inner Arm Length of X Shape is the length of the inner arm of the X Shape.
Bar Length of X Shape - (Measured in Meter) - Bar Length of X Shape is defined as the length of one bar out of two bars of 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 Length of X Shape: 20 Meter --> 20 Meter No Conversion Required
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_{Inner Arm} = l_Bar/2-t_Bar/(2*cos(pi/2-∠_Bottom/Top/2)) --> 20/2-2/(2*cos(pi/2-0.785398163397301/2))

Evaluating ... ...

l_{Inner Arm} = 7.38687407024678

STEP 3: Convert Result to Output's Unit

7.38687407024678 Meter --> No Conversion Required

FINAL ANSWER

7.38687407024678 ≈ 7.386874 Meter <-- Inner Arm Length of X Shape

(Calculation completed in 00.020 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!

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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< Inner Arm Length of X Shape Calculators

Inner Arm Length of X Shape given Bottom or Top Angle

LaTeX Go Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2))

Inner Arm Length of X Shape given Perimeter

LaTeX Go Inner Arm Length of X Shape = Perimeter of X Shape/4-Bar Thickness of X Shape-Bar Length of X Shape/2

Inner Arm Length of X Shape given Outer Arm Length and Crossing Length

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

Inner Arm Length of X Shape given Crossing Length

LaTeX Go Inner Arm Length of X Shape = Bar Length of X Shape/2-Crossing Length of X Shape

Inner Arm Length of X Shape given Bottom or Top Angle Formula

LaTeX Go

Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2))
l_{Inner Arm} = l_Bar/2-t_Bar/(2*cos(pi/2-∠_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.

How to Calculate Inner Arm Length of X Shape given Bottom or Top Angle?

Inner Arm Length of X Shape given Bottom or Top Angle calculator uses Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)) to calculate the Inner Arm Length of X Shape, The Inner Arm Length of X Shape given Bottom or Top Angle formula is defined as the length of the arm of the X Shape from the inner side, i.e. the smaller arm, calculated using the bottom or top angle of X Shape. Inner Arm Length of X Shape is denoted by l_{Inner Arm} symbol.

How to calculate Inner Arm Length of X Shape given Bottom or Top Angle using this online calculator? To use this online calculator for Inner Arm Length of X Shape given Bottom or Top Angle, enter Bar Length of X Shape (l_Bar), 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 Inner Arm Length of X Shape given Bottom or Top Angle calculation can be explained with given input values -> 7.386874 = 20/2-2/(2*cos(pi/2-0.785398163397301/2)).

FAQ

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

The Inner Arm Length of X Shape given Bottom or Top Angle formula is defined as the length of the arm of the X Shape from the inner side, i.e. the smaller arm, calculated using the bottom or top angle of X Shape and is represented as l_{Inner Arm} = l_Bar/2-t_Bar/(2*cos(pi/2-∠_Bottom/Top/2)) or Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)). Bar Length of X Shape is defined as the length of one bar out of two bars of X Shape, 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 Inner Arm Length of X Shape given Bottom or Top Angle?

The Inner Arm Length of X Shape given Bottom or Top Angle formula is defined as the length of the arm of the X Shape from the inner side, i.e. the smaller arm, calculated using the bottom or top angle of X Shape is calculated using Inner Arm Length of X Shape = Bar Length of X Shape/2-Bar Thickness of X Shape/(2*cos(pi/2-Bottom and Top Angle of X Shape/2)). To calculate Inner Arm Length of X Shape given Bottom or Top Angle, you need Bar Length of X Shape (l_Bar), 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 Length of X Shape, 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 Inner Arm Length of X Shape?

In this formula, Inner Arm Length of X Shape uses Bar Length of X Shape, 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 -

Inner Arm Length of X Shape = Bar Length of X Shape/2-Crossing Length of X Shape
Inner Arm Length of X Shape = Perimeter of X Shape/4-Bar Thickness of X Shape-Bar Length of X Shape/2
Inner Arm Length of X Shape = Outer Arm Length of X Shape-Crossing Length of X Shape

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