Lecture 3 - Statics
Type Lecture
Date @September 21, 2023
Reviewed
What is our Goal?
Statics - Equilibrium
Vectors
Reactions
Equivalent Systems (Moment vs. Force Couples)
Free Body Diagram
Examples
Structural Engineers
What is the purpose again?
Make sure it is:
Strong Enough
Stiff Enough
Stable
Is it Strong enough in:
Axial (Compression C/Tension T)
Shear (V)
Bending (Moment M)
Torsion (Tor)
Lecture 3 - Statics 1
, Statics
The branch of mechanics that is concerned with the analysis of loads (force and torque,
or “moment”) on physical systems in STATIC EQUILIBRIUM, that is in a state where the
relative positions of subsystems do not vary over time, or where components and
structures are at a constant velocity.
They stay still. (The object in its overall position in space)
If it stays still EVERY PART OF IT STAYS STILL (Ignore deflection)
So, we can figure out what it takes to stay still (even if we pretend chop it up into bits)
Force
Newton’s Second Law: Force is the product of mass and acceleration
F = m(kg) ∗ a(m/s2 )
Force has magnitude and direction and is represented by a vector. The common unit of
force (F) is a kN (kilonewton) which is 1000 N. 1 N (Newton) is equal to 1 kg m/s²
A vector does not have to be a force, it is any value that shows direction and
magnitude.
Adding Vectors
Lecture 3 - Statics 2
, Vectors can be added graphically by
connecting vectors from tip to tail. The
sum of all the vectors is the vector from
the first tail to the final tip.
Breaking Up Vectors
Force vectors can be broken up into
components. It’s convenient to break up
force vectors into components parallel to
the Principal Axis.
Breaking Up Vectors - Quantifying
Pythagorean Theorem Sine Cosine Tangent
Lecture 3 - Statics 3
Type Lecture
Date @September 21, 2023
Reviewed
What is our Goal?
Statics - Equilibrium
Vectors
Reactions
Equivalent Systems (Moment vs. Force Couples)
Free Body Diagram
Examples
Structural Engineers
What is the purpose again?
Make sure it is:
Strong Enough
Stiff Enough
Stable
Is it Strong enough in:
Axial (Compression C/Tension T)
Shear (V)
Bending (Moment M)
Torsion (Tor)
Lecture 3 - Statics 1
, Statics
The branch of mechanics that is concerned with the analysis of loads (force and torque,
or “moment”) on physical systems in STATIC EQUILIBRIUM, that is in a state where the
relative positions of subsystems do not vary over time, or where components and
structures are at a constant velocity.
They stay still. (The object in its overall position in space)
If it stays still EVERY PART OF IT STAYS STILL (Ignore deflection)
So, we can figure out what it takes to stay still (even if we pretend chop it up into bits)
Force
Newton’s Second Law: Force is the product of mass and acceleration
F = m(kg) ∗ a(m/s2 )
Force has magnitude and direction and is represented by a vector. The common unit of
force (F) is a kN (kilonewton) which is 1000 N. 1 N (Newton) is equal to 1 kg m/s²
A vector does not have to be a force, it is any value that shows direction and
magnitude.
Adding Vectors
Lecture 3 - Statics 2
, Vectors can be added graphically by
connecting vectors from tip to tail. The
sum of all the vectors is the vector from
the first tail to the final tip.
Breaking Up Vectors
Force vectors can be broken up into
components. It’s convenient to break up
force vectors into components parallel to
the Principal Axis.
Breaking Up Vectors - Quantifying
Pythagorean Theorem Sine Cosine Tangent
Lecture 3 - Statics 3
