Civil and Environmental Engineering Answers

cylindrical sample of soil is isotropically compressed under drained condition with a vertical stress of 100 kPa and a radial stress of 100 kPa. Subsequently, the axial stress was held constant and the radial stress was increased to 300 kPa under an un-drained condition.

(a) Calculate the initial mean effective stress and deviatoric stress. Create a graph with the x-axis as p, p’ and the y-axis as q (p, q space). Plot these values in (p,q) space

(b) Calculate the increase in mean total stress and deviatoric stress.

(c) Plot the total and effective stress paths (assume the soil is a linear, isotropic, elastic material).

(d) Determine the slopes of the total and effective stress paths and the maximum excess pore water pressure for each space.

i.e. If S={1,2,3,4,5,6,7,8,9}, and A={2,4,7,9}, B={1,3,5,7,9}, C={2,3,4,5} and D={1,6,7} Determine the probabilities for the following:

a) A u B

b) B u C'

c) (B ∩ C') u B d) A ∩ C ∩ D

prove answers with a diagram

a card game uses 40 unique cards with 5 suits (diamonds, hearts, clubs, spades and thunder. Each suit is numbered from 1 to 8. to play the game, a player must hold 8 cards which may be sorted anyway the player choose. a) How many 8-card hands are possible? b) How many 8-card hands consisting of 1 diamonds, 2 hearts, 3 clubs, 1 spades and 1 thunder are possible? c) How many 8-card hands consisting of no thunder are possible?

A cylindrical post 6.28 inches in diameter is surmounted by a part of a sphere 5.16 inches in radius, as shown in the figure. Find the surface and the volume of the part of the sphere used.

The railroad cut shown in the figure has sides inclined at 45 degrees to the horizontal. the base of the cuts is a horizontal rectangle and the ends are vertical. the depth of the cut at each of the points A, B, C, D is indicated in the figure. Find the cost of the making the cut at 1 dollars per cube yard

A cylindrical post 6.28 in. in diameter is surmounted by a part of a sphere 5.16 in. in radius, as shown in the figure. Find the surface and the volume of the part of the sphere used.

Four grapefruit (considered spheres) 6

 in. in diameter and place in a square box whose inside base dimensions are 12

 in. in the space between the first four grapefruit a fifth of the same diameter is placed. How deep must the box be so that the top will just touch the fifth grapefruit? 

A beam of length 12 m has overhanging of 3 m on left and right leaving the span between the supports of 6 m. It carries UDL of 8 KN/m over the entire length and a concentrated load of 10 KN at the right extreme end. Draw SF and BM diagrams and find the point of contra flexure point.                     

A factory's pressure tank rests on the upper base of a vertical pipe whose inside diameter is 1 1/2 ft. and whose length is 40 ft. The tank is a vertical cylinder surmounted by a cone, and it has a hemispherical base. If the altitudes of the cylinder and the cone are respectively 6 ft. and 3 ft. and if all three parts of the tank have an inside diameter of 6 ft. find the volume of the water in the tank and pipe when full. 

the volume of water is 1338000km³. the run off from the river is 44.7km³/year and that from the groundwater is 2.2 km³/year. the precipitation on the ocean is 1270mm/year.( the ocean area is 361300km²). estimate the residence time of water molecules in the ocean