Introduction to Engineering - Area and Volume Calculations

These flashcards cover key terms and definitions related to area and volume calculations in engineering.

Trapezoidal Rule

A method to approximate the planar areas of an irregular shape by dividing the total area into small trapezoids of equal height and summing them up.

Area Moment of Inertia

Also known as the second moment of area, it provides information on how difficult it is to bend a shape.

Volume of a Cylinder

V = πR²h, where R is the radius and h is the height.

Volume of a Sphere

V = (4/3)πR³, where R is the radius.

Area of a Circle

A = πR², where R is the radius.

Area of a Rectangle

A = b × h, where b is the base and h is the height.

Volume of a Right Circular Cone

V = (1/3)πR²h, where R is the radius of the base and h is the height.

Volume of a Section of a Cone

V = (1/3)πh(R₁² + R₂² + R₁R₂), where R₁ and R₂ are the radii at the two bases.

Area of a Trapezoid

A = (a + b)h/2, where a and b are the lengths of the parallel sides and h is the height.

Volume of a Section of a Sphere

V = (1/3)πh(3a² + 3b² + h²), where a and b are the radii of the sphere segment.