# KEPD 350. Penetrator. Thickness shell of Penetrator .pdf

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Calculating the wall thickness of the

TAURUS KEPD 350 Penetrator

With the following procedure one can calculate roughly the wall thickness of the penetrator casing

(see figure 0.1 and 0.2 ) of the TAURUS KEPD 350 High Precision Modular Stand-Off Missile

System.

Figure 0.1: Taurus Penetrator

Figure 0.2: Destroyed Taurus Penetrator after test

The following values are known:

• The mass mP of the penetrator is 386 kg, i.e. the weight of the tungsten alloy metal casing

• the penetrator is 1,500 m long

The next values are estimated:

• The penetrator is approximated in its form as shown in figure 0.3

• The length of the tip Ltip is 40 cm

• The length Lbody of the main part of the penetrator is ∼

= 1,1 m

• The density ρall of the tungsten alloy is 17,7 g/cm3 (see ”Datenblatt Wolfram-Schwermetall

(WSM)”)

• the diameter DP of the penetrator is 27 cm

With this values and the formulas for calculating the volume of a cylinder, a cone and a truncated

cone, which are as follows:

cylinder

(0.1)

Vcyl = π ·

DP

2

2

· Lbody

cone

Vcone =

(0.2)

1

·π·

3

DP

2

2

· Ltip

truncated cone

Vt,cone =

(0.3)

h·π

· R2 + R r + r 2 ,

3

the calculation of d is possible. r and R are the upper an lower radius of the truncated cone

respectively, and h is its height. Note that 2 · R is equivalent to the inner diameter of the

penetrator casing.

h

Figure 0.3: Schematic drawing of the TAURUS KEPD 350 penetrator body (not drawn to scale)

The value to find for the wall thickness d results from calculating DP − 2 · R. The to be calculated

variable is therefor R.

In the first two steps (i) the volume of the whole penetrator and (ii) the volume of tungsten alloy

is calculated. The former (i) is calculated with equation (0.1) plus (0.2), the latter (ii) according

to Vmetal = ρmallP . Subtracting the two calculated volumes from each other, the resulting value

is 0,04881 m3 , which equals the inner volume Vi of the penetrator casing. With this last value

given, the inner radius R is calculated in step three using equation (0.1) with equation (0.3)

h·π

· R2 + R r + r 2

3

and setting (somewhat arbitrarily) h = 0, 4 · Ltip and r = 0, 2 · R. The value for R is found

numerically with a target value search (Microsoft Excel). The Volume Vi and all other values

are known. The resulting value for R is approximately 11,52 cm, which yields at the end a wall

thickness d of the penetrator casing of about 2 cm. The exact value of the calculation is indeed

2,00 cm, when R is rounded up to 0,115 m or 11,5 cm.

Vi = π · R2 · Lbody +

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