Parabola: “… is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface.” y(x) = 2 x Suspension Bridges Parabolic Antenna Optical Lenses Projectile Motion Hanging Chain = Catenary, y = Cosh(x) - 1 • Hanging Chain & Weight = Parabola, y = x2 • Hangin’ with Mr. Cooper = Awesome show from the 90s • Truss • Suspension • Beam Arch Cantilever Suspension Cablestayed Truss • Tibetan architect and engineer Thangtong Gyalpo was the first to use the “suspension bridge” idea circa 1430 Main parts: › › › › › Towers Deck Anchorage Cables Stringers y = Ax2 + Bx + C (y-k)2 = 4p(x-h) › (h, k) : Vertex of the Parabola › p| : Distance from the Vertex › p : Direction Parabola Opens › (h+p, k) when p is positive or (h, k+p) when p is negative = Focus