Question

Estimate horizontal and vertical tail sizes fo r a twin-turboprop regional transport with wing area of 40 m2, aspect ratio of 10, taper ratio of 0.5, leading-edge sweep of 5 deg, and tail moment arms both equal to 10 m.

Answer 1

Answer: 0.2m sqr

Explanation:

A well behaved aircraft basically have a value of volume in horizontal and vertical area.

Volume in horizontal area (Vh) = 0.6

Volume in vertical area (Vv) = 0.05

Having known this, consider the relationship to find the vertical and horizontal tail sizes.

Vertical tail area (Sv)

Horizontal tail area (Sh)

Vh= (Sh × I) / S

Where,

I = moment

S= wing area

Sh= Horizontal tail area

Vh= Volume in horizontal area

0.6= Sh × 10/40

24= 10Sh

Sh= 24/10

Sh= 2.4 msqr

Horizontal tail area= 2.4m sqr

From the information above, we can calculate the vertical tail area.

Vertical tail area is calculated thus below:

Vv= (Sv× I) / S

Where

Vv= Volume in vertical area

Sv= Vertical tail area

I= Moment

S= Wing area

Therefore

Sv= (Vv × S) /I

Sv= (0.05×40)/10

Sv= 0.2msqr

In conclusion, the vertical tail size is 0.2msqr

Answer 2

Answer:

The horizontal tail size is 2.4 m² and the vertical tail size is 0.2 m².

Explanation:

The value of volume in vertical and horizontal is:

Vh = 0.6

Vv = 0.05

The expression to find the horizontal and vertical tail sizes is equal to:

$V_{h} =\frac{S_{h}I }{S}$

Where Sh = horizontal tail area

S = wing area

I = moment

Clearing Sh:

$S_{h} =\frac{V_{h }S}{I} =\frac{0.6*40}{10} =2.4m^{2}$

The vertical tail sizes is:

$S_{v} =\frac{0.05*40}{10} =0.2m^{2}$