If the difference between the future amount after 6 periods and the present amou
ID: 459805 • Letter: I
Question
If the difference between the future amount after 6 periods and the present amount was 600 and the future amount was 2600, what is the simple interest rate per period stated as percentage? 1. A choice faces an engineer for bolt type fasteners to hold a large diameter blind flange (a flat plate at the end of a pipe) that is being designed for a custom application in a refinery. Bolt type A has a tensile load rating of 18,000 pounds. Bolt B has a tensile load rating of 24,000 pounds. The blind flange will be bolted to a pipe with an inner diameter of 36 inches that is subject to gauge pressure loads of 225 pounds per square inch. The safety factor applied in the selection of materials for use in the refinery is 2.25. Safety factor is applied by multiplying the load calculated by the factor to get the design to load. When selecting discrete load carrying elements such as bolts, the conservative safety approach is to round up any fractional values of the discrete count of elements identified as needed. In some design circumstances, the geometry of placement is such that the number of needed discrete elements is rounded up to an even or odd number to provide symmetry which helps guide installation and processing. In this situation, symmetry is not a consideration. a. Based on the load and safety factor, how many type A bolts would be required? b. Based on the load and safety factor, how many type B bolts would be required? c. What is the total cost of using type A bolts if the bolt cost 21.50 each and hole fabrication cost is 32.00 for each hole for bolts to be placed? d. What is the total cost of using type B bolts if the bolt cost 23.50 each and hole fabrication cost is 34.00 for each hole for bolts to be placed? e. Based on the economics of using A and B bolts, which bolt is the most economical to use? f. Missing from the consideration so far is the cost of labor and inspection for installing the bolts. If each bolt requires a worker 7.5 minutes to install and inspect and a worker makes 44.00 per hour, what is the labor cost for installing each bolt?
Explanation / Answer
a. 29
b. 22
c. 1551.5
d. 1265
followingtable explains the answer
sr
parameter
bolt A
bbolt B
Remark
1
tensile load
18000
24000
given
2
safety factor
2.25
2.25
given
3
Gauge pressure load / sq inch
225
225
given
4
Flange inner dia (inch)
36
36
given
5
Flange load area (sq. inch)
1017.36
1017.36
Flange area= / 4 * D²
6
Load on flange
228906
228906
3*5
7
Load on flange with safety factor
515038.5
515038.5
8*12
8
Number of bolts required
29
22
7 by 1
9
bolt cost
21.5
23.5
given
10
Total bolt cost
623.5
517
8*9
11
1 hole fabrication cost
32
34
given
12
Total hole fabrication cost
928
748
8*11
13
Total cost
1551.5
1265
10+12
sr
parameter
bolt A
bbolt B
Remark
1
tensile load
18000
24000
given
2
safety factor
2.25
2.25
given
3
Gauge pressure load / sq inch
225
225
given
4
Flange inner dia (inch)
36
36
given
5
Flange load area (sq. inch)
1017.36
1017.36
Flange area= / 4 * D²
6
Load on flange
228906
228906
3*5
7
Load on flange with safety factor
515038.5
515038.5
8*12
8
Number of bolts required
29
22
7 by 1
9
bolt cost
21.5
23.5
given
10
Total bolt cost
623.5
517
8*9
11
1 hole fabrication cost
32
34
given
12
Total hole fabrication cost
928
748
8*11
13
Total cost
1551.5
1265
10+12
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