HCF of three numbers

Design Range given Range Increment Calculator

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Preliminary Design Conceptual Design

✖Harmonic Range is point that the aircraft is most structurally efficient in terms of payload carriage, and represents the maximum range for the maximum payload.ⓘ Harmonic Range [R_H]			+10% -10%
✖Range Increment of Aircraft refers to the increase in the aircraft's range, typically resulting from modifications or improvements to its design, propulsion system, or operational parameters.ⓘ Range Increment of Aircraft [ΔR]			+10% -10%

✖Design Range RD is the distance achievable when taking off with the maximum take-off weight.ⓘ Design Range given Range Increment [R_D]

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Formula

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Design Range given Range Increment

Formula

R D = R H - ΔR

Example

52 km = 123 km - 71 km

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Design Range given Range Increment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Design Range = Harmonic Range-Range Increment of Aircraft
R_D = R_H-ΔR
This formula uses 3 Variables

Variables Used

Design Range - (Measured in Meter) - Design Range RD is the distance achievable when taking off with the maximum take-off weight.
Harmonic Range - (Measured in Meter) - Harmonic Range is point that the aircraft is most structurally efficient in terms of payload carriage, and represents the maximum range for the maximum payload.
Range Increment of Aircraft - (Measured in Meter) - Range Increment of Aircraft refers to the increase in the aircraft's range, typically resulting from modifications or improvements to its design, propulsion system, or operational parameters.

STEP 1: Convert Input(s) to Base Unit

Harmonic Range: 123 Kilometer --> 123000 Meter (Check conversion here)
Range Increment of Aircraft: 71 Kilometer --> 71000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_D = R_H-ΔR --> 123000-71000

Evaluating ... ...

R_D = 52000

STEP 3: Convert Result to Output's Unit

52000 Meter -->52 Kilometer (Check conversion here)

FINAL ANSWER

52 Kilometer <-- Design Range

(Calculation completed in 00.020 seconds)

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Created by Himanshu Sharma

National Institute of Technology, Hamirpur (NITH), Himachal Pradesh

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< Preliminary Design Calculators

Optimum Range for Jet Aircraft in Cruising Phase

Go Range of Aircraft = (Velocity at Maximum Lift to Drag Ratio*Maximum Lift-to-Drag Ratio of Aircraft)/Power Specific Fuel Consumption*ln(Weight of Aircraft at Beginning of Cruise Phase/Weight of Aircraft at End of Cruise Phase)

Preliminary Take Off Weight Built-up for Manned Aircraft

Go Desired Takeoff Weight = Payload Carried+Operating Empty Weight+Fuel Weight to be Carried+Crew Weight

Preliminary Take off Weight Built-Up for Manned Aircraft given Fuel and Empty Weight Fraction

Go Desired Takeoff Weight = (Payload Carried+Crew Weight)/(1-Fuel Fraction-Empty Weight Fraction)

Fuel Fraction

Go Fuel Fraction = Fuel Weight to be Carried/Desired Takeoff Weight

Design Range given Range Increment Formula

Design Range = Harmonic Range-Range Increment of Aircraft
R_D = R_H-ΔR

What is design range?

The design range is the distance covered by an aircraft with maximum take off weight and design payload.

How to Calculate Design Range given Range Increment?

Design Range given Range Increment calculator uses Design Range = Harmonic Range-Range Increment of Aircraft to calculate the Design Range, Design Range given Range Increment refers to the maximum distance it can travel on a single fuel load under specific conditions, to calculate the design range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed. Design Range is denoted by R_D symbol.

How to calculate Design Range given Range Increment using this online calculator? To use this online calculator for Design Range given Range Increment, enter Harmonic Range (R_H) & Range Increment of Aircraft (ΔR) and hit the calculate button. Here is how the Design Range given Range Increment calculation can be explained with given input values -> 0.052 = 123000-71000.

FAQ

What is Design Range given Range Increment?

Design Range given Range Increment refers to the maximum distance it can travel on a single fuel load under specific conditions, to calculate the design range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed and is represented as R_D = R_H-ΔR or Design Range = Harmonic Range-Range Increment of Aircraft. Harmonic Range is point that the aircraft is most structurally efficient in terms of payload carriage, and represents the maximum range for the maximum payload & Range Increment of Aircraft refers to the increase in the aircraft's range, typically resulting from modifications or improvements to its design, propulsion system, or operational parameters.

How to calculate Design Range given Range Increment?

Design Range given Range Increment refers to the maximum distance it can travel on a single fuel load under specific conditions, to calculate the design range given the range increment, additional information about the aircraft's fuel capacity, fuel consumption rate, and other factors is needed is calculated using Design Range = Harmonic Range-Range Increment of Aircraft. To calculate Design Range given Range Increment, you need Harmonic Range (R_H) & Range Increment of Aircraft (ΔR). With our tool, you need to enter the respective value for Harmonic Range & Range Increment of Aircraft 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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