Cone Layout Development by Marking and Calculation Method with Practical Example
Full Cone is a very common shape in fabrication industry as it is most frequently used shape in fabrication so it is very necessary that every fabrication engineer or professionals in fabrication field must have knowledge of Cone layout Development if you have detailed knowledge of cone fabrication it is very useful to you while working in fabrication daily activities. So, in this post, we are covering all the Points related to Full Cone Layout Development so that you can learn in-depth and used this method in daily fabrication activity.
We are going to explain this Cone layout in both Geometrical and Numerical Methods and at the end of learning this method, we have taken one practical Example of Full Cone Fabrication Layout Development to understand the use of this method for layout Development. We had also provided you example solution checking method using our Fabrication Calculator tool so that you can verify your calculation with some tested tools and make you confident in the fabrication layout. You can practice this method by taking more examples yourself and verify your answer by our tools and become an expert in Full Cone Fabrication Layout Development.
Geometrical Method or Marking Method for Full Cone Layout
Geometrical Method of Full Cone Fabrication Layout Development is also called Graphical Method of Full Cone Layout Development, in this layout, Method layout markings are developed using direct measuring of the Geometrical shape of Full Cone. This Method is Basic Method for fabrication Layout but it required much time to draw the Geometry of actual size and it also has limitation for Bigger Sizes to avoid this limitation you have to use computerized tool Such as Auto Cad Software and to the developed layout using this software also required skilled manpower to generate layout it cost us more in terms of extra skilled manpower and extra time for drawing layout. If the fabrication layout shape is complex then it is not economical. Now, we will move towards learning Full Cone Fabrication Layout Development using Geometrical Method in Step by Step process.
We recommend you that always use mean dimensions for Fabrication layout development it gives more Accuracy of fabrication Layout Marking Compared to Outside or Inside Dimensions.
Step 1: Draw Elevation View & Plan View for Full Cone Shape.
Step 2: Divide Top View Circle of Cone in equal no. of Parts.
Step 3: Measure Slant Height of the Cone in elevation view.
Step 4: Draw Development Circle with Radius as Slant Height.
Step 5: Measure Dividing Distance (L) From the Top view of Divided Circle.
Step 6: Mark the Development Circle with Dividing Distance (L) in to equal no of parts in top view.
Step 7: Trim the remaining part to get layout of the Full Cone.
In this way we can generate fabrication layout of Full Cone using Geometrical Method or Graphical Method of Fabrication Layout Development.
Numerical Method or Calculation Method for Full Cone Layout
Numerical Method for Full Cone layout Development is a very faster and time-saving method for layouting, you can calculate the values of layout dimension by solving manually on a scientific calculator or you can use any computerized tool for solving such as MS Excel or any other tool for Calculates Values in a faster way.
Now we will move towards learning Numerical Method for Full Cone fabrication layout development in this Method We are Discussing Two Cases for Layout Development.
Case 1: Cone Angle and Cone Diameter Given
Step 1: Define Generalized Diagram of Full Cone Layout Development.
Step 2: Define Variables for Full Cone Layout.
Let,
D = Base Mean Diameter of Cone.
α = Cone Angle
β = Cone Included Angle.
R = Development Radius.
Θ = Development Angle.
X = Cone Cord Length.
Step 3: Calculate Development Radius R of Full Cone.
If α is given then,
R = ( D/2 ) / Cos (α)
If β is given then,
R = ( D/2 ) / Sin (β/2)
Step 4: Calculate Development Angle Θ.
Θ = ( (D/2) / R ) x 360
Step 4: Calculate Cone Cord Length X
X = 2 x R x Sin (Θ/2)
Step 5: Development of Cone Layout.
In this way we can develop fabrication Layout when we had problem like case-1 where Cone angle and Cone Diameter is Given. Now we will see Case-2 type problem of fabrication layout Development.
Case 2: Cone Diameter and Cone Height Given
Step 1: Define Generalized Diagram for Full Cone Layout Development.
Step 2: Define Variables for Full Cone Layout
Let,
D = Base Mean Diameter of Cone.
H = Cone Height.
R = Development Radius.
Θ = Development Angle.
X = Cone Cord Length.
Step 3: Calculate Development Radius R.
R = √ ( H2 + (D/2)2 )
or
α = Tan-1 ( H / (D/2) )
R = ( D/2 ) / Cos (α)
Step 4: Calculate Development Angle Θ.
Θ = ( (D/2) / R ) x 360
Step 5: Calculate Cone Cord Length X.
X = 2 x R x Sin (Θ/2)
Step 6: Development of Cone Layout.
So, by using Numerical Formulae you can generate fabrication Layout Development of Full Cone in a very faster and efficient way.
In the above Two Methods, we learn How to Layout Full Cone Using Geometrical and Numerical Methods, now we will see one Practical Example Solution Using Numerical Method so that we can understand in better layouting by practicing it Practically.
Practical Example Solution by Numerical Method or Calculation Method
Example: Generate Fabrication Layout Development Markings of Full Cone for Following Sizes:
Solution:
Step 1: Note Down the Given Data of the Example.
Given Data:
D = 500
H = 750.
Step 2: Calculate Development Radius R
R = √ ( H2 + (D/2)2 )
R = √ ( 7502 + (500/2)2 )
R = √ ( 562500 + (62500) )
R = 790.56 mm.
Step 3: Calculate Development Angle Θ.
Θ = ( (D/2) / R ) x 360
Θ = ( (500/2) / 790.56 ) x 360
Θ = 113.84 Degree.
Step 4: Calculate Cone Cord Length X.
X = 2 x R x Sin (Θ/2)
X = 2 x 790.56 x Sin (113.84 / 2)
X = 1324.84 mm.
Step 4: Mark Development Layout Using Above Dimensions.
This is Final Fabrication Layout Markings of Full Cone for Given Example solved by using Numerical Method. You have practice this method to become master in this type of layout and after practicing you will have confidence in your layouts and in the latter part after becoming expert you reduce your work by using the method with the help of computerizes numerical tools, for increase your accuracy and save the time of calculations.
Now we will see this example Solution checking process so that you can be assured about your calculation and verify your result with some standard tested reference.
Example Solution Checking for Full Cone Layout using Fabrication Calculator
We are providing this example solution Checking Method to you so that you can easily verify your calculated values with some standard tested tool so that become more confident while layouting and easily practice using this method till you become an expert in layouting by Numerical method. We had already tested is Tool with advanced Computer Tool so that you can trust this tool and become more accurate in calculating values.
Now we will see the example solution checking Method, First You have to Download our Mobile Application from Our Website or Google play store or Apple App Store.
Download Links for Our Fabrication Calculator App :
Fabrication Calculator App from Our Website.
Fabrication Calculator App from Google Play Store.
Fabrication Calculator App from Apple App Store.
Solution Checking Process: Download above Mobile Application to your mobile check example Result Values with App results in Value. Follow below Steps of Checking Solution of Full Cone Layouts we had also added Screen Shots for Better Understanding of this Checking Methods.
Step 1: Select Full Cone Option from Application Home Screen as shown in the below image for step 1.
Step 2: Enter Input data of Cone Diameter as 500 mm and Cone Height as 750 mm in the input Fields and Press Calculate Button as shown in the below image of step 2.
Step 3: Check Result Values with your Calculated Values if your calculated values Match with this Result Page Value then you are correct if your values are not matching with result page values then recheck your calculation and Find out Correct values for Accurate Result. Refer to step 4.
In such a way that You can check your Result by using this Fabrication Calculator App, you can also check using any methods you known. We are using this method we had already tested the result of this app so we are testing our result using this application.
Now, we learn all Cone Layout development process using all methods, similarly if you want to learn fabrication layout development of all fabrication shapes in detailed then you can join our 70 days Video Course on Fabrication Layout Development Click here to Know Course Details.
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If you want to learn fabrication layout or flat pattern layout development of various fabrication shapes by your own then you can buy our book “Master in Fabrication Layout Development “ or Click here to learn about our books.
We hope you learn all methods of cone layout development in all aspects.
