Introduction to Engineering Mechanics
Introduction to Engineering Mechanics Dr. Wayne Whiteman Director of the Office of Student Services and Senior Academic Professional School of Mechanical Engineering
This course is an introduction to learning and applying the principles required to solve engineering mechanics problems.
School of Mechanical Engineering
Module 9 Learning Outcomes Make use of Varignon’s Theorem to sum moments Solve a two-dimensional (2D) moment problem
2
Recall the definition of a moment:
M A rAB F Varignon’s Theorem (Principle of Moments) The moment of any force is equal to the algebraic sum of the moments of the components of that force
IF THEN
F F1 F2 r F (r F1 ) (r F2 ) 3
VECTOR METHOD Worksheet – 2D Moment A 20 lb force is applied to the I-beam cross section as shown. Determine the moment of the force about point O. y
2 in
.
A F = 20 lb
3 4
3 in
x O
2.5 in
4
SCALAR METHOD Worksheet – 2D Moment A 20 lb force is applied to the I-beam cross section as shown. Determine the moment of the force about point O. y
2 in
.
A F = 20 lb
3 4
3 in
x O
2.5 in
5
This course is an introduction to learning and applying the principles required to solve engineering mechanics problems.
School of Mechanical Engineering
Module 9 Learning Outcomes Make use of Varignon’s Theorem to sum moments Solve a two-dimensional (2D) moment problem
2
Recall the definition of a moment:
M A rAB F Varignon’s Theorem (Principle of Moments) The moment of any force is equal to the algebraic sum of the moments of the components of that force
IF THEN
F F1 F2 r F (r F1 ) (r F2 ) 3
VECTOR METHOD Worksheet – 2D Moment A 20 lb force is applied to the I-beam cross section as shown. Determine the moment of the force about point O. y
2 in
.
A F = 20 lb
3 4
3 in
x O
2.5 in
4
SCALAR METHOD Worksheet – 2D Moment A 20 lb force is applied to the I-beam cross section as shown. Determine the moment of the force about point O. y
2 in
.
A F = 20 lb
3 4
3 in
x O
2.5 in
5
