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

The moment of inertia of a rectangular beam can be calculated using the formula I = bh³/12 with given dimensions for base width and height. To find the moment of inertia in inches^4, the dimensions need to be converted from millimeters to inches before applying the formula.

Step-by-step explanation:

The moment of inertia of a rectangular beam can be calculated using the formula: I = bh³/12, where I represents the moment of inertia, b represents the base width, and h represents the height.

In this case, the base width of the beam is given as 100 mm and the height is 350 mm.

To find the moment of inertia in inches4, we need to convert the given dimensions from millimeters to inches. Since 1 inch is equal to 25.4 millimeters, the base width becomes 100/25.4 inches and the height becomes 350/25.4 inches. Plugging these values into the formula, we get:

I = (100/25.4) x (350/25.4)³/12

Simplifying further, we can calculate the value of I.

Answer 2

`I=848.56\ inches^4`

Step-by-step explanation:

Given that

Moment of inertia of rectangular beam I

`I=(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=(bh^3)/(12)`

`I=(3.9* 13.77^3)/(12)\ inches^4`

`I=848.56\ inches^4`

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