Question

(20 points) Moment of inertia describes an objects ability to resist bending. The moment of inertia for a rectangular beam is represented by the formula I=bh3/12 where: I → moment of interia b → base width h → height If the beam's base width is 100 mm and the height is 350 mm, what is the beam's moment of inertia in inches4?

Answer 1

Answer:

$I=848.56\ inches^4$

Explanation:

Given that

Moment of inertia of rectangular beam I

$I=\dfrac{bh^3}{12}$

Given that

b= 100 mm

h=350 mm

We know that

1 mm = 0.039 inches

So

b= 0.039 x 100 inces

b=3.9

h=0.039 x 350

h=13.77 inches

So

$I=\dfrac{bh^3}{12}$

$I=\dfrac{3.9\times 13.77^3}{12}\ inches^4$

$I=848.56\ inches^4$

So moment of inertia is $I=848.56\ inches^4$