Determine the dressed size area section modulus and moment o

Determine the dressed size, area, section modulus and moment of inertia of the following sections. Give values about the strong axes. a. b. c. d. 2 x 6 6x8 4x 10 8 x 16

Solution

a) The dressed size of 2x6 section is 1.5x5.5

section modulus of section = bd²/6=1.5*5.5²/6 = 7.5625

moment of inertia = bd³/12 = 1.5*5.5³/12 =20.8

b)dressed size of 6x8 is 6x8

section modulus of section = bd²/6=6*8²/6 = 64

moment of inertia = bd³/12 = 6*8³/12 = 256

c)dressed size of 4x10 is 3.5x9.25

section modulus of section = bd²/6=3.5*9.25²/6 = 49.91

moment of inertia = bd³/12 = 3.5*9.25³/12 = 230.84

d)dressed size of 8x16 is 8x16

section modulus of section = bd²/6=8*16²/6 = 341.33

moment of inertia = bd³/12 =8*16³/12 = 2730.67