Other Engineering Answers

Q10. A steel rail is 12 m long and is laid at a temperature of 18 degrees * C . The maximum temperature expected is 40^ C.

i Estimate the minimum gap between two rails to be left so that the temperature stresses do not develop.

iii. If the stress developed is 20N / m * m ^ 2 what is the gap provided between the rails?

Take E = 2 * 10 ^ 5 * N / m * m ^ 2 and alpha=12*10^ -6 /^ C .

ii. Calculate the temperature stresses developed in the rails, if:

b. If a 1.5 mm gap is provided for expansion.

a. No expansion joint is provided.

Suppose that f(x) is differentiable for all values of x such that f(a) = a. f(-a)=-a and [ƒ/"(x)| all x. Show that f(0) = 0.

After the semester ends, you want to go to a road trip to Kent in Connecticut. You want to find a route with the shortest distance to arrive there. Depending on the route you may pass through five towns (A, B, C, D, E). Table below shows the mileage between two cities through the road that directly connects two towns without any intervening towns. The dash shows that there is no road directly connecting these two towns.

The roads are not one-way.

Mileage

Town

A

B

C

D

E

Kent (Destination)

West Haven (Origin)

20

30

25

-

-

-

A

5

-

35

-

-

B

10

27.5

20

-

C

-

25

-

D

5

30

E

40

Draw the network for this problem where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.

Use the Dijkstra algorithm to find the shortest path.

Formulate and solve a spreadsheet model for this problem.

You are a supervisor assigning people to different jobs. Every person must perform at least one job and can perform at most three jobs. Job 1 requires two people. Every job must be done. Anyone doing job 5 cannot do job 2 or 3. The table below provides the cost of assigning each individual to each job.

Person/Job

1

2

3

4

5

1

12

8

5

8

9

2

10

7

3

10

6

3

7

4

5

8

7

Create an IP to optimize this problem.

Solve your model using MS Excel or CPLEX.

Design a hill climbing algorithm to find the solution of your model (write all of the steps). Show two steps of your model.

Steam enters a turbine that works in a reliable state with a mass flux of 6,400 kg/h.  The turbine creates an output power of 1000 kW.at the pressure input of 60 bars and a temperature of 400 °C and a speed of 10 m/s.At the pressure output is 0.1 bar and the quality factor is 90% and the speed is 50 m/s. Calculate the heat transfer song between the turbine and the environment in kilowatts

What is the Molar concentration of a solution of 10.5 g of glucose (C6H12O6) is dissolved in enough water to make 20.0 mL of solution

Explain set (with 2-set) associative mapping cache. Consider a 4-way set associative mapped cache of size 64 KB with block size 512 bytes. The size of main memory is 256 KB. Find:a) Number of bits in tag b) Tag directory size

Consider page reference string of 1 2 3 0 5 0 1 2 1 4 5 0 7 1 2

Using the first in first out (FIFO) page replacement algorithm, draw THREE

(3) page frames (3 pages can be in memory at a time during the process) for the

above-mentioned page reference string. b Calculate the hit rate and fault rate

for your answer.

A virtual memory has a page size of 2K(words). There are eight pages

and four blocks. The associative memory page table contains the following

entries:

Page Block

0 3

2 1

5 2

6 0

Make a list of all virtual addresses (In decimal) that will cause a page

fault if used by the CPU.

Draw the architectural block diagram of ARM and explain data flow

referring each unit.