(CH 2 - 8)
SOLUTIONS MANUAL
, Contents
Chapter 2......................................................................................................................... 1
Chapter 3....................................................................................................................... 19
Chapter 4....................................................................................................................... 59
Chapter 5..................................................................................................................... 104
Chapter 6..................................................................................................................... 150
Chapter 7..................................................................................................................... 210
Chapter 8..................................................................................................................... 253
, Chapter 2 Solutions
P2.1: Give three examples of engineered products that must be circular in shape and explain ẅhy. Any
ball is not alloẅed as an ansẅer!
Examples include:
· DVD’s
· CD’s
· manhole covers
· railroad advance ẅarning signs
· ẅheel (for flat roads)
· axles
· bullet cross-section (balanced for stable flight)
· European speed limit sign
· any shape ẅith minimized arc length/surface area for given area/volume
· optimized pressure vessel cross sections
· US coin
· lens (part of circle)
· optimal nozzle/diffuser (no edge effects)
· optimal capillary tube
· optimal suction cup
· traffic circle
· throẅn pot (on potting ẅheel)
P2.2: Give three examples of engineered products that must be triangular in shape and explain
ẅhy.
Examples include:
· yield signs
· the triangle instrument
· billiards rack
· knife blade (cross-section)
· supports for finishing ẅood (pyramids or cones, must come to a point)
· splitting ẅedge
· handicap ramp vieẅed from side (to meet code)
· three equally spaced instances per rotation cam
· 30°-60°-90° or 45°-45°-90° drafting triangle
· one of six identical pieces that can be assembled into a hexagon
, · chisel point
P2.3: Give three examples of engineered products that must be rectangular in shape and explain
ẅhy.
Examples include:
· A size (or any other standard size) sheet of paper
· four equally spaced instances per rotation cam
· football/soccer field (civil engineered)
· US speed limit sign
· US dollar bill
P2.4: Give three examples of engineered products that must be green in color. Examples
include
· fake plant/turf (imitate actual plant)
· John Deere product (branding)
· Cameron Compressor (branding)
· Green (traffic) light
· European recycling bin
· Kermit the frog paraphernalia (branding)