Question

A cylinder contains 480 cm3 of loose dry sand which weighs 820 g. Under a static load of 200 kPa the volume is reduced 1%, and then by vibration it is reduced 10% of the original volume. Assume the solid density of sand grains is 2.65 Mg/m3 . Compute the void ratio, porosity, dry density, and total density corresponding to each of the following cases:__________.(a) Loose sand. (b) Under static load. (c) Vibrated and loaded sand.

Answer 1

a.

b.

c.

Step-by-step explanation:

a. void ratio is provided by the formula:
`e = (V_(p) )/(V_(s) )`

where ,
`V_(p)` = volume of voids

`V_(s)` = volume of solid grains

for loose sand, the void space =
`(480)/(480)`

= 1

b. void ratio after static load = 0.1/(480)/ (480)

= 0.1

c. void ratio after vibration = [480- ( 0.1 * 480) ]/ 480

= 0.9