Weight Index given Minimum Design Index Calculator

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✖Minimum Design Index is a comparable quantity in conceptual design phase which considers Cost, Weight and Time period indices.ⓘ Minimum Design Index [DI_min]			+10% -10%
✖Cost index is the summation of all the contributors in cost configuration parameters. The cost configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).ⓘ Cost Index [CI]			+10% -10%
✖Cost Priority (%) is a factor which shows the priority of cost objective on a percentage scale. It is oriented according to the user's definition of priorities.ⓘ Cost Priority (%) [P_c]			+10% -10%
✖Period Index is the summation of all the contributors in period configuration parameters. The Period configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).ⓘ Period Index [TI]			+10% -10%
✖Period Priority (%) is a factor which shows the priority of Time factor of on a percentage scale. It is oriented according to the user's definition of priorities.ⓘ Period Priority (%) [P_t]			+10% -10%
✖Weight Priority (%) is a factor which shows the priority of Weight factor on a percentage scale. It is oriented according to the user's definition of priorities.ⓘ Weight Priority (%) [P_w]			+10% -10%

✖Weight index is the summation of all the contributors in weight configuration parameters. The weight configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).ⓘ Weight Index given Minimum Design Index [WI]

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Formula

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Weight Index given Minimum Design Index

Formula

`"WI" = (("DI"_{"min"}*100)-("CI"*"P"_{"c"})-("TI"*"P"_{"t"}))/"P"_{"w"}`

Example

`"50.9801"=(("160"*100)-("1327.913"*"10.11")-("95"*"19"))/"15.1"`

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Weight Index given Minimum Design Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%)
WI = ((DI_min*100)-(CI*P_c)-(TI*P_t))/P_w
This formula uses 7 Variables

Variables Used

Weight Index - Weight index is the summation of all the contributors in weight configuration parameters. The weight configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).
Minimum Design Index - Minimum Design Index is a comparable quantity in conceptual design phase which considers Cost, Weight and Time period indices.
Cost Index - Cost index is the summation of all the contributors in cost configuration parameters. The cost configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).
Cost Priority (%) - Cost Priority (%) is a factor which shows the priority of cost objective on a percentage scale. It is oriented according to the user's definition of priorities.
Period Index - Period Index is the summation of all the contributors in period configuration parameters. The Period configuration parameters are valued on the scale of 0-10 (best=10 and worst=0).
Period Priority (%) - Period Priority (%) is a factor which shows the priority of Time factor of on a percentage scale. It is oriented according to the user's definition of priorities.
Weight Priority (%) - Weight Priority (%) is a factor which shows the priority of Weight factor on a percentage scale. It is oriented according to the user's definition of priorities.

STEP 1: Convert Input(s) to Base Unit

Minimum Design Index: 160 --> No Conversion Required
Cost Index: 1327.913 --> No Conversion Required
Cost Priority (%): 10.11 --> No Conversion Required
Period Index: 95 --> No Conversion Required
Period Priority (%): 19 --> No Conversion Required
Weight Priority (%): 15.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

WI = ((DI_min*100)-(CI*P_c)-(TI*P_t))/P_w --> ((160*100)-(1327.913*10.11)-(95*19))/15.1

Evaluating ... ...

WI = 50.98010397351

STEP 3: Convert Result to Output's Unit

50.98010397351 --> No Conversion Required

FINAL ANSWER

50.98010397351 ≈ 50.9801 <-- Weight Index

(Calculation completed in 00.004 seconds)

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< 19 Design Process Calculators

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Thrust-to-Weight ratio given vertical velocity

Go Thrust-to-weight ratio = ((Vertical Airspeed/Aircraft Velocity)+((Dynamic Pressure/Wing Loading)*(Minimum Drag Coefficient))+((Lift Induced Drag Constant/Dynamic Pressure)*(Wing Loading)))

Priority of objective weight in design process given minimum design index

Go Weight Priority (%) = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Index

Priority of objective cost in design process given minimum design index

Go Cost Priority (%) = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Period Index*Period Priority (%)))/Cost Index

Priority of objective period of design given minimum design index

Go Period Priority (%) = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Cost Index*Cost Priority (%)))/Period Index

Period of Design Index given Minimum Design Index

Go Period Index = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Cost Index*Cost Priority (%)))/Period Priority (%)

Weight Index given Minimum Design Index

Go Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%)

Cost Index given Minimum Design Index

Go Cost Index = ((Minimum Design Index*100)-(Weight Index*Weight Priority (%))-(Period Index*Period Priority (%)))/Cost Priority (%)

Minimum design index

Go Minimum Design Index = ((Cost Index*Cost Priority (%))+(Weight Index*Weight Priority (%))+(Period Index*Period Priority (%)))/100

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Go Battery Weight Fraction = (Range of Aircraft/(Battery Specific Energy Capacity*3600*Efficiency*(1/[g])*Maximum Lift to Drag ratio of Aircraft))

Summation of priorities of all objectives that need to be minimized

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Range increment of aircraft

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Reserve fuel

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Fuel load

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Weight Index given Minimum Design Index Formula

Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%)
WI = ((DI_min*100)-(CI*P_c)-(TI*P_t))/P_w

What is Design Index Concept and How to derive Weight index?

At the start of Conceptual Design, the Designer defines Objective index which depends upon the parameters which influence the respective objective. Sum of all of the parameters contributing the objective factor on scale of 1-10 gives objective index. Now this objective index has its own priorities, in a conceptual design model the priorities are shown in percentage. Now how these factor influence the model is given by the product of the objective index and its priority (taken as a number (conversion from percentage)), it is the share of design index. And if the share of design index is subjected to the Cost, Weight and Design Time only, It is called Minimum Design Index. As they are common factors in all type of Aircrafts. The Weight Index can be Derived from the same as we have to modify the formula.

How to Calculate Weight Index given Minimum Design Index?

Weight Index given Minimum Design Index calculator uses Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%) to calculate the Weight Index, The Weight Index given Minimum Design Index formula elucidates the relationship between the weight index and the MDI in aircraft design and operation, it serves as a metric for evaluating the weight efficiency of aircraft configurations and operational strategies. Weight Index is denoted by WI symbol.

How to calculate Weight Index given Minimum Design Index using this online calculator? To use this online calculator for Weight Index given Minimum Design Index, enter Minimum Design Index (DI_min), Cost Index (CI), Cost Priority (%) (P_c), Period Index (TI), Period Priority (%) (P_t) & Weight Priority (%) (P_w) and hit the calculate button. Here is how the Weight Index given Minimum Design Index calculation can be explained with given input values -> 903.2417 = ((160*100)-(1327.913*10.11)-(95*19))/15.1.

FAQ

What is Weight Index given Minimum Design Index?

The Weight Index given Minimum Design Index formula elucidates the relationship between the weight index and the MDI in aircraft design and operation, it serves as a metric for evaluating the weight efficiency of aircraft configurations and operational strategies and is represented as WI = ((DI_min*100)-(CI*P_c)-(TI*P_t))/P_w or Weight Index = ((Minimum Design Index*100)-(Cost Index*Cost Priority (%))-(Period Index*Period Priority (%)))/Weight Priority (%). Minimum Design Index is a comparable quantity in conceptual design phase which considers Cost, Weight and Time period indices, Cost index is the summation of all the contributors in cost configuration parameters. The cost configuration parameters are valued on the scale of 0-10 (best=10 and worst=0), Cost Priority (%) is a factor which shows the priority of cost objective on a percentage scale. It is oriented according to the user's definition of priorities, Period Index is the summation of all the contributors in period configuration parameters. The Period configuration parameters are valued on the scale of 0-10 (best=10 and worst=0), Period Priority (%) is a factor which shows the priority of Time factor of on a percentage scale. It is oriented according to the user's definition of priorities & Weight Priority (%) is a factor which shows the priority of Weight factor on a percentage scale. It is oriented according to the user's definition of priorities.

How to calculate Weight Index given Minimum Design Index?

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