Statics
Chapter 3 - Equilibrium
Newtons First Law of Motion
A particle remains at rest or continues to
move with uniform velocity if there is no
unbalanced force acting on it.
Leaving out motion (in b
Beyond the Class 3.2
4/19/13
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Statics
EXAM 1 REVIEW
Resolve the force FB
into components
along the x- and uaxes. =80
80
= 2 kN
80
= 2 kN
Resolve the force FB
into components
along the x- and yaxes.
80
= 2 kN
80
= 2 kN
Determine th
Compute the force in each member of the loaded
cantilever truss by the method of joints.
Neglect any horizontal reactions at the supports and
solve for the forces in all members.
Determine the forces
2-D Equilibrium
Examples
Presented by Christine Goble
for the
Department of Mechanical
Engineering
University of Kentucky
Figures from Statics, 6th edition, by J.L.
Meriam and L.G. Kraige, John Wiley
Determine the x- and
y-coordinates of the
centroid of the shaded
area.
Determine the
distance h from
the base of a
triangle of
altitude h to the
centroid of its
area.
Determine the x- and ycoordinates
2-D Vector
Examples
Presented by Christine Goble
for the
Department of Mechanical
Engineering
University of Kentucky
Figures from Statics, 6th edition, by J.L.
Meriam and L.G. Kraige, John Wiley & Son
The force P is applied to the 90-kg crate, which is
stationary before the force is applied. Determine the
magnitude and direction of the friction force F exerted
by the horizontal surface on the crate
EM221 - Statics
Exam 2 Review
A former student of mechanic wishes to weigh himself
but has access only to a scale A with capacity limited
to 100 lb and a small 20 lb spring dynamometer B.
With the rig
EM221 - Statics
Final Exam Review
COURSE OUTCOMES
Students will be able to:
Perform necessary vector operations.
Determine moment of a force in both 2D and 3D
systems.
Determine resultants of force
Statics
Appendix A
Moments of Inertia
Recall
M y Wx
xdW
xdW
x
W
Center of Gravity
If gravity, density and
thickness constant
Q=
xdA
First Moment of Area
xdA
x
A
Centroid of an Area
First Moment of Ar
Statics
Chapter 3 Part 2
z
As part of a check on its
design, a lower A-arm is
supported by bearings
x
at A and B and
subjected to the pair of
900-N forces at C and D. The
suspension spring, not shown
Chapter 4
Structures Frames & Machines
Vector Mechanics for Engineers Statics, 8th edition, by Beer, Johnston, and Eisenberg, McGraw Hill,2007, p.285.
Determine the
magnitude of the
force supported
by
Statics
Chapter 5a
Center of Gravity
M y Wx
xdW
xdW
x
W
M x Wy
ydW
M y Wx
M y
xdW
ydW
y
z
W
zdW
W
If gravity is constant, W=mg and dW=g(dm)
xdW
x
xgdm xdm
mg
W
m
and
y
ydm
m
zdm
z
CENTER OF MASS
m
Chapter 4
Structures Trusses
Method of joints
Vector Mechanics for Engineers Statics, 8th edition, by Beer, Johnston, and Eisenberg, McGraw Hill,2007, p.285.
Newtons Third Law
The forces of action and
EM221 Statics
Chapter 5b
05_18
w
L
05_20
05_20
05_20
P_05_98
Determine the reactions at A and B for the
loaded beam.
P_05_98
P_05_98
P_05_98
P_05_98
P_05_98
P_05_105
Determine the support reactions at
2-D and 3-D Vector
Examples
Presented by Christine Goble
for the
Department of Mechanical
Engineering
University of Kentucky
Figures from Statics, 6th edition, by J.L.
Meriam and L.G. Kraige, John Wil
Determine the force supported by the roller at E.
The simple crane supports the 600-lb load.
Determine the tension T in the cable and the
magnitude of the pin reaction at O.
A small bolt cutter operat
P=12 kN
8m
The cantilever beam is supported by a fixed support at the right
end. Draw the shear and bending moment diagram for the
cantilever beam and loading shown.
3 k/ft
B
A
15 ft
Draw the shear an
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and has no credited author, instead drawin