Civil and Environmental Engineering Answers

PART A. Homogenous Linear Differential Equations

1. (D + 3) ^ 2 * y = 0

2. (D ^ 2 - 4D + 7) * y = 0 3. (D ^ 2 + 3D) * y = 0

PART A. Homogenous Linear differential Equations

1. (D + 3) ^ 2 * y = 0

2. (D ^ 2 - 4D + 7) * y = 0

6. (D ^ 3 - 2D ^ 2 - 3D) * y = 0

7. (4D ^ 3 - 3D + 1) * y = 0

5. (D ^ 3 - 3D ^ 2 + 4) * y = 0

4. (D ^ 2 + D - 7) * y = 0

3. (D ^ 2 + 3D) * y = 0

How much energy is released by the sun in a minute? Use Einstein’s equation for special relativity.

3. Amaterial has a mass of 95 g and 68 g before and after abrasion, respectively. If the abrasive

ratio of 1.85, find the area of abrasion

Given: Four-25-mm-diameter rivets with an axial load of

T = 75 kN distributed equally as shown. The thickness of

the plates is 25 mm and width of plate is 150 mm.

find (a) the shear stress on the rivets

(b) the bearing stress between a plate and a rivet;

(c) the minimum average tensile stress in each plate.

Determine the gross area of steel needed to design

the bar force members at BC, BE, and AE.

Stress in steel is A36 = 36 ksi

Analyze all loaded structures below using the consistent deformation method. Before commencing with the calculations, identify first the respective degree of indeterminacy.

Then draw the shear and moment diagram.

The width at upstream of the channel and width at the throat are 2.5m and 1.5m.

i) calculate flow rate in the channel using continuity and specific energy principles.

ii) calculate specific energy at constriction where z = 0.122

iii)if depth at the constriction is critical depth, determine new flow rate.

For the voltaic cell, 2 Na(s) + Fe2+(aq) → 2 Na+

(aq) + Fe(s)

a) Write the two half-reactions.

b) Write the cell notation.

c) Calculate E ° for the cell.

Consider the fission reaction 1

0n + 235

92U →

89

37Rb + 3 0

-1e + 3 1

0n + 144

58Ce

How much energy in kilojoules is released per gram of Uranium- 235?