Batch size given Non-productive time in turning Solution

STEP 0: Pre-Calculation Summary
Formula Used
Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations)))
Nb = (tsa+Nt*tsb)/((NPT-tln-(tpt*n0)))
This formula uses 8 Variables
Variables Used
Batch Size - Batch Size is the count of similar kinds of products to be manufactured.
Basic Setup Time - (Measured in Second) - Basic Setup Time is the basic time required to load/unload the workpiece and position the tool for production for one component.
Number of Tools Used - The Number of Tools Used is the total number of tools used for manufacturing a batch of products.
Setup Time per Tool - (Measured in Second) - Setup time per tool is defined as the amount of time taken in setting up the tool while maching.
Non-Productive Time - (Measured in Second) - Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process.
Loading and Unloading Time - (Measured in Second) - Loading and Unloading time is the time required to load/unload the workpiece before the start of machine operation.
Tool Positioning Time per Operation - (Measured in Second) - Tool Positioning Time per Operation is defined as the time taken in changing the tool before the start of operation.
Number of Operations - The Number of Operations is defined as the total number of operations done in a batch.
STEP 1: Convert Input(s) to Base Unit
Basic Setup Time: 20.5 Minute --> 1230 Second (Check conversion here)
Number of Tools Used: 2 --> No Conversion Required
Setup Time per Tool: 10 Minute --> 600 Second (Check conversion here)
Non-Productive Time: 20 Minute --> 1200 Second (Check conversion here)
Loading and Unloading Time: 0.5 Minute --> 30 Second (Check conversion here)
Tool Positioning Time per Operation: 1.5 Minute --> 90 Second (Check conversion here)
Number of Operations: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nb = (tsa+Nt*tsb)/((NPT-tln-(tpt*n0))) --> (1230+2*600)/((1200-30-(90*4)))
Evaluating ... ...
Nb = 3
STEP 3: Convert Result to Output's Unit
3 --> No Conversion Required
FINAL ANSWER
3 <-- Batch Size
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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10+ Turning Calculators

Batch size given Non-productive time in turning
Go Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations)))
Tool positioning time per operation given Non-productive time in turning
Go Tool Positioning Time per Operation = (Non-Productive Time-((Basic Setup Time+Number of Tools Used*Setup Time per Tool)/Batch Size)-Loading and Unloading Time)/Number of Operations
Loading and unloading time given Non-productive time in turning
Go Loading and Unloading Time = Non-Productive Time-((Basic Setup Time+Number of Tools Used*Setup Time per Tool)/Batch Size)-(Tool Positioning Time per Operation*Number of Operations)
Set-up Time per tool terms of Non-productive time in turning
Go Setup Time per Tool = ((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))*Batch Size-Basic Setup Time)/Number of Tools Used
Number of operations given Non-productive time in turning
Go Number of Operations = (Non-Productive Time-((Basic Setup Time+Number of Tools Used*Setup Time per Tool)/Batch Size)-Loading and Unloading Time)/Tool Positioning Time per Operation
Basic setup time given Non-productive time in turning
Go Basic Setup Time = (Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))*Batch Size-(Number of Tools Used*Setup Time per Tool)
Number of tools given Non-productive time in turning
Go Number of Tools Used = ((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))*Batch Size-Basic Setup Time)/Setup Time per Tool
Non-productive time in turning
Go Non-Productive Time = ((Basic Setup Time+Number of Tools Used*Setup Time per Tool)/Batch Size)+Loading and Unloading Time+(Tool Positioning Time per Operation*Number of Operations)
Diameter of turned parts given Length-to-diameter Ratio
Go Diameter of Workpiece = (1.67/Length to Diameter Ratio)^(1/0.68)
Length-to-diameter Ratio given diameter of turned parts
Go Length to Diameter Ratio = 1.67/(Diameter of Workpiece^0.68)

Batch size given Non-productive time in turning Formula

Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations)))
Nb = (tsa+Nt*tsb)/((NPT-tln-(tpt*n0)))

What is the difference between turning and facing operations?

In the turning operation, the tool generally reduces the diameter of the cylindrical workpiece, which can be done by cutting into the part for some depth and move the tool parallel to the axis of the part. While facing operation reduces the length of the piece, the tool is moved perpendicular to the axis of the part.

How to Calculate Batch size given Non-productive time in turning?

Batch size given Non-productive time in turning calculator uses Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))) to calculate the Batch Size, The Batch size given Non-productive time in turning is the count of similar kinds of products to be manufactured. Batch Size is denoted by Nb symbol.

How to calculate Batch size given Non-productive time in turning using this online calculator? To use this online calculator for Batch size given Non-productive time in turning, enter Basic Setup Time (tsa), Number of Tools Used (Nt), Setup Time per Tool (tsb), Non-Productive Time (NPT), Loading and Unloading Time (tln), Tool Positioning Time per Operation (tpt) & Number of Operations (n0) and hit the calculate button. Here is how the Batch size given Non-productive time in turning calculation can be explained with given input values -> 3 = (1230+2*600)/((1200-30-(90*4))).

FAQ

What is Batch size given Non-productive time in turning?
The Batch size given Non-productive time in turning is the count of similar kinds of products to be manufactured and is represented as Nb = (tsa+Nt*tsb)/((NPT-tln-(tpt*n0))) or Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))). Basic Setup Time is the basic time required to load/unload the workpiece and position the tool for production for one component, The Number of Tools Used is the total number of tools used for manufacturing a batch of products, Setup time per tool is defined as the amount of time taken in setting up the tool while maching, Non-Productive Time is the total time wasted in setting up the machine or workpiece for a particular process, Loading and Unloading time is the time required to load/unload the workpiece before the start of machine operation, Tool Positioning Time per Operation is defined as the time taken in changing the tool before the start of operation & The Number of Operations is defined as the total number of operations done in a batch.
How to calculate Batch size given Non-productive time in turning?
The Batch size given Non-productive time in turning is the count of similar kinds of products to be manufactured is calculated using Batch Size = (Basic Setup Time+Number of Tools Used*Setup Time per Tool)/((Non-Productive Time-Loading and Unloading Time-(Tool Positioning Time per Operation*Number of Operations))). To calculate Batch size given Non-productive time in turning, you need Basic Setup Time (tsa), Number of Tools Used (Nt), Setup Time per Tool (tsb), Non-Productive Time (NPT), Loading and Unloading Time (tln), Tool Positioning Time per Operation (tpt) & Number of Operations (n0). With our tool, you need to enter the respective value for Basic Setup Time, Number of Tools Used, Setup Time per Tool, Non-Productive Time, Loading and Unloading Time, Tool Positioning Time per Operation & Number of Operations 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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