Introduction

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MECH 234 & 235
Engineering Mechanics:
STATICS
Prof. G. Milano, PE
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239-Colton Hall
973-596-5930
[email protected]
Office Hours
4:00 - 5:00 M,W
It’s on the web:
 Course
Outline
 General Information
 Examples
 Homework Solutions
 Tutoring Schedule
STATICS
The study of force systems
in equilibrium;
i.e., balanced force systems.
STATICS
F = 0
(forces)
all forces add up to zero
 the system is balanced
STATICS
M = 0
(moments)
moments add up to zero
 the system is balanced
DYNAMICS
 F = ma
forces do not equal zero
 the system is unbalanced
DYNAMICS
 T = J
moments do not equal zero
 the system is unbalanced
Forces are Vectors
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length = magnitude
angle = orientation
arrowhead = direction
Forces are Vectors
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rectangular coordinates
polar coordinates
3 units vertical
Rectangular Coordinates
F = 4i + 3j
4 units horizontal
3 units vertical
Rectangular Coordinates
F = 4i + 3j
4 units horizontal
Vertical axis
Polar Coordinates
F = 5  36°
 = 36°
Horizontal axis
Y comp. = 5 sin 36°
Polar Coordinates
F = 5  36°
 = 36°
X component = 5 cos 36°
Force Vector
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F = 5  36°
F = 5 cos 36° i + 5 sin 36° j
F =
4i + 3j
5 = length = magnitude
36° = angle = orientation
Force Vectors
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graphical solutions
add vectors head to tail
analytical solutions
add like components
Let’s get to work ...
Let’s look at some examples
from the book and on the web.
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