Statics Formula Sheet

This video tutorial covers key concepts in a first-year statics course, including static equilibrium, reaction forces, trusses, centroids, second moment of area, distributed loads, and shear forces. It explains the principles of static equilibrium, different types of support reactions, methods to find internal forces in trusses, and how to calculate centroids and the second moment of area. The tutorial also discusses distributed loads and their impact on shear forces and bending moments in beams.

What is the condition for a body to be in static equilibrium?

• The sum of forces is greater than zero.

• The sum of moments is less than zero.

• The sum of forces and moments is zero.

• The sum of forces is equal to the sum of moments.

Which type of support allows rotation but prevents movement?

• Cantilevered support

• Fixed support

• Roller support

• Pin support

In the method of joints, which equation is primarily used to find internal forces?

• Sum of energies equals zero

• Sum of displacements equals zero

• Sum of forces equals zero

• Sum of moments equals zero

What is a centroid in the context of geometry?

• The point of maximum area

• The geometric center of a shape

• The point of minimum area

• The center of mass

How is the second moment of area about the X-axis calculated using the parallel axis theorem?

• IX = IX bar * ADX squared

• IX = IX bar - ADX squared

• IX = IX bar / ADX squared

• IX = IX bar + ADX squared

What does the Greek letter Omega represent in the context of distributed loads?

• Force per unit length

• Force per unit time

• Force per unit area

• Force per unit volume

What is the convention for the direction of internal shear force V in a beam?

• Always facing left

• Always facing upwards

• Always facing downwards

• Always facing right