HSD ES779 - Calculating the Centre of Gravity for the Tool+Tool-Holder Assembly

7 Operation and regulation
HSD S.p.A. © - h0106k01a.fm120718
129
Calculating the centre of gravity for the tool+tool-holder assembly
If the position of the centre of gravity of the tool+tool holder assembly is not indicated by the
manufacturer, it can be calculated approximately as follows:
1. Consider the tool as being made up of elementary parts. In the example in the following figure,
the tool is made up of two cylindrical parts (one of which is hollow) and two truncated cones.
2. Calculate the centre of gravity for each elementary part as described below.
3. Elementary formulae for calculating the centre of gravity;
Cylindrical segment (possibly hollow):
The formulae reported below make use of the following symbols:
G
X
b
V
m
d
: centre of gravity;
: absolute position of the centre of gravity;
: relative position of the centre of gravity;
: volume;
: mass;
: density (If no data is provided by the tool user, use the following general densities;
Iron: 7850 Kg/m
3
; Aluminium: 2100 Kg/m
3
).
X
h
2
: b =
: m = Vd
: V =
S(R - r ) h
2
h
b
G
r
R
2
Volume
Mass
G position