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

✖The Inner Arm Length of X Shape is the length of the inner arm of the X Shape.ⓘ Inner Arm Length of X Shape [l_{Inner Arm}]			+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 [t_Bar]			+10% -10%

✖The Width of X Shape is the measurement or extent of X Shape from side to side.ⓘ Width of X Shape given Inner Arm Length and Bottom or Top Angle [w]

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

STEP 0: Pre-Calculation Summary

Formula Used

Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape)
w = (2*l_{Inner Arm}*sin(∠_Bottom/Top/2))+(2*t_Bar)
This formula uses 1 Functions, 4 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

Width of X Shape - (Measured in Meter) - The Width of X Shape is the measurement or extent of X Shape from side to side.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inner Arm Length of X Shape: 7 Meter --> 7 Meter No Conversion Required
Bottom and Top Angle of X Shape: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Bar Thickness of X Shape: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (2*l_{Inner Arm}*sin(∠_Bottom/Top/2))+(2*t_Bar) --> (2*7*sin(0.785398163397301/2))+(2*2)

Evaluating ... ...

w = 9.3575680531103

STEP 3: Convert Result to Output's Unit

9.3575680531103 Meter --> No Conversion Required

FINAL ANSWER

9.3575680531103 ≈ 9.357568 Meter <-- Width 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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< Width of X Shape Calculators

Width of X Shape given Inner Arm Length and Bottom or Top Angle

LaTeX Go Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape)

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

LaTeX Go

Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape)
w = (2*l_{Inner Arm}*sin(∠_Bottom/Top/2))+(2*t_Bar)

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 Width of X Shape given Inner Arm Length and Bottom or Top Angle?

Width of X Shape given Inner Arm Length and Bottom or Top Angle calculator uses Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape) to calculate the Width of X Shape, The Width of X Shape given Inner Arm Length and Bottom or Top Angle is defined as the measurement or extent of X Shape from side to side, calculated using its inner arm length and bottom or top angle. Width of X Shape is denoted by w symbol.

How to calculate Width of X Shape given Inner Arm Length and Bottom or Top Angle using this online calculator? To use this online calculator for Width of X Shape given Inner Arm Length and Bottom or Top Angle, enter Inner Arm Length of X Shape (l_{Inner Arm}), Bottom and Top Angle of X Shape (∠_Bottom/Top) & Bar Thickness of X Shape (t_Bar) and hit the calculate button. Here is how the Width of X Shape given Inner Arm Length and Bottom or Top Angle calculation can be explained with given input values -> 9.357568 = (2*7*sin(0.785398163397301/2))+(2*2).

FAQ

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

The Width of X Shape given Inner Arm Length and Bottom or Top Angle is defined as the measurement or extent of X Shape from side to side, calculated using its inner arm length and bottom or top angle and is represented as w = (2*l_{Inner Arm}*sin(∠_Bottom/Top/2))+(2*t_Bar) or Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape). The Inner Arm Length of X Shape is the length of the inner arm of 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 & Bar Thickness of X Shape is defined as the thickness of one of the bars of X Shape.

How to calculate Width of X Shape given Inner Arm Length and Bottom or Top Angle?

The Width of X Shape given Inner Arm Length and Bottom or Top Angle is defined as the measurement or extent of X Shape from side to side, calculated using its inner arm length and bottom or top angle is calculated using Width of X Shape = (2*Inner Arm Length of X Shape*sin(Bottom and Top Angle of X Shape/2))+(2*Bar Thickness of X Shape). To calculate Width of X Shape given Inner Arm Length and Bottom or Top Angle, you need Inner Arm Length of X Shape (l_{Inner Arm}), Bottom and Top Angle of X Shape (∠_Bottom/Top) & Bar Thickness of X Shape (t_Bar). With our tool, you need to enter the respective value for Inner Arm Length of X Shape, Bottom and Top Angle of X Shape & Bar Thickness of X Shape and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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