Lecture notes for theme 2 of Statics. Contains all calculations for the theme so you can pay attention to explanations in lectures in stead of scrambling to write down notes because they aren't released. I made these notes during my first year of Mechanical engineering at the University of Pretoria...
Moment M of a force about point P is a vector
Magnitude
direction
rotational sense
IF
d 5
Rotational sense
coplanar forces all forces lie on same plane
clockwise moment axis to planeandlieson A
p
anticlockwise
MO rXF r FITZ rXFI TXFz
crossproduct between 2 vectors
AxB ABSINO
Mo rxF
FxFy Fz
Fyfe rafy I Irsefz rz.fr j rxfy ryf.scE
, FxF rFSino ID
M Fasino
1
resultant moment
MR 0
Fixed ITS Fs
FxF Fx FitFz
, SWK 122 Statics
Theme 2
Lecture Unit 2.1
Question 1
1.1 Hibbeler edition 15 Problem F4.3 page 140.
(a) Calculate the moment arm of the
60 kN force about point O.
(b) Calculate the moment of the 60 kN
force about point O.
(Recall that moments are vectors,
hence you have to specify the direc-
tion of the moment as well.) k
100 N
3 5
1.2 Hibbeler edition 15 Problem F4.1 page 140. c
4
(a) Calculate the moment arm of the OA 2m
100 N force about point O. O
α
(b) Calculate the moment of the 100 N
force about point O. 5m
1.3 Hibbeler edition 15 Problem F4.4 page 141. 50 N
100 mm
60o
Neglect the thickness of the member and
B
(a) calculate the moment arm of the 50 N
force about point O.
OB µ
(b) calculate the moment of the 50 N
m
45o
m
O
0
force about point O.
20
100 mm
d
n
1
, Pricipal of moments
1.1 a d 4 360545 1 5.121m Mo Foxy Fyxx
b
ME 8 5.1217 307.13KNM t anticlockwise
1.29 OA 1272 1512 Eg
sky 50
M ruxxtf.NU10015112
a 4 im
ÑÉ 1003 5
Ñm clockwise
M Fd 100714.67 460Nm clockwise
1.3a
or MEETYITY.to
i o.zcos4s to.n
501056010.25in45
a
11.25NM
9 100 100 20010545
314.42MM
D 200sinus
141.42MM
OB a b
369.551813
M dF 50110.2249
11.24 NM
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