Perform a theoretical analysis of the rectangular profiled cantilevered beam. Provide a theoretical expression (in symbolic form
) for the surface strain () as a function of the various parameters Cx, L, w , W, E. ? Assuming the metal strip is composed of nominal grade aluminum ( 10% 10 lbfin2 69 × 109 Pa, see TABLE D.9 in the text, substitute and derive a theoretical expression for ?-strain as a function of x, L, and W only, where x and I are in units of millimeters and W'is in units of grams force. Note: 1 gram force the force of gravity on a one gram mass (l g mass) x (acceleration of gravity)-0.0981 N.
1 answer:
Answer:
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Explanation:
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substitute and derive a theoretical expression for ?-strain as a function of x, L, and W only, where x and I are in units of millimeters and W'is in units of grams force. Note: 1 gram force the force of gravity on a one gram mass (l g mass) x (acceleration of gravity)-0.0981 N.
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Answer:
Among all three tools, the ceramic tool is taking the least time for the production of a batch, however, machining from the HSS tool is taking the highest time.
Explanation:
The optimum cutting speed for the minimum cost
Where,
C,n = Taylor equation parameters
=Tool changing time in minutes
=Cost per grinding per edge
= Machine and operator cost per minute
On comparing with the Taylor equation ,
Tool life,
Given that,
Cost of operator and machine time
Batch setting time = 2 hr
Part handling time: min
Part diameter:
Part length:
Feed:
Depth of cut:
For the HSS tool:
Tool cost is $20 and it can be ground and reground 15 times and the grinding= $2/grind.
So,
Tool changing time, min.
(a) From equation (i), cutting speed for the minimum cost:
m/min
(b) From equation (ii), the tool life,
min
(c) Cycle time:
where,
Machining time for one part
Number of pieces cut in one tool life
min, where
is the rpm of the spindle.
So, the number of parts produced in one tool life
Round it to the lower integer
So, the cycle time
min/pc
(d) Cost per production unit:
(e) Total time to complete the batch= Sum of setup time and production time for one batch
.
(f) The proportion of time spent actually cutting metal
Now, for the cemented carbide tool:
Cost per edge,
Tool changing time,
(a) Cutting speed for the minimum cost:
[from(i)]
(b) Tool life,
[from(ii)]
(c) Cycle time:
[ nearest lower integer]
So, the cycle time
(d) Cost per production unit:
(e) Total time to complete the batch.
(f) The proportion of time spent actually cutting metal
Similarly, for the ceramic tool:
(a) Cutting speed:
(b) Tool life,
(c) Cycle time:
So,
(d) Cost per production unit:
(e) Total time to complete the batch
.
(f) The proportion of time spent actually cutting metal