What kind of connection is this?
Roller
What are the units of a moment?
N*m, Lb*ft, Kips*in..... etc
2x Bonus: What fundamental units do all of these have in common?
What is the equation to calculate a centroid? You may consult you notes.
True or false: the structures we will see in the scope of this class will typically have two pinned connections
False! Most examples in this class will have a roller and pin or a fixed connection.
2x Bonus: explain why two pinned connections are problematic for the equations we have at our disposal.
What is the line of action?
An imaginary line that extends in both directions from a vector.
2x Bonus: Why is this important to the concept of moments?
A centroid is analogous to...
The center of mass of an object
2x bonus: why is this in the distributed load section?
A pinned connection is defined by...
resisting forces in the x, y, (and sometimes z) direction without resisting moments
What is a lever arm?
The distance from the point of rotation to force.
If a shape is symmetrical, what can you say about the location of the centroid without any additional information?
The centroid will exist on the line of symmetry
A rocker connection is analogous to what kind of connection?
A roller! Both supply one reaction.
Imagine you have a pivot point at x=0 along a pole. There is a force applied upwards at x=-10 with a magnitude of 2 newtons. You may place an upward force at x=5. What should the magnitude of this force be to create equilibrium?
4 Newtons
Where would I place a point load to model this distributed load?
x=6m
2x Bonus: Calculate the magnitude of that point load given that the load is 6N/m at B and 0N/m at A
What kind of connection is shown at A? What reactions do you need to calculate for it?
A fixed connection! It has reactions in the x, y, and z directions as well as moments in all directions.
M=F*D and M=F*d*Cos(Theta)
How are these two equations related?
The first equation implies that the force is acting at a 0-degree angle
If q is in units of N/m and L is in m. What is the location and magnitude of the analogous point load?
location: q/2