The Bar and the arrangement shown in the diagram is a representation of a
Prob.#
"Machine Component and sub-system" used in a Control System for stopping the operation when it reaches a certain level of Temperature. As the Temperature increases, the bar (first) expands to fill the "Gap" but the Rigid Stop would prevent it from further expansion. So, the bar would be in danger of "Buckling" when it reaches a certain level of Stress.
With reference to the information provided in the table below,
I - Calculate the Force that would be generated when the Final Temperature is reached, [4 Pts.] [Hint: Visit the Sample Problem provided in the "Thermal Stresses" Article of the text!]
II- What is the Factor of Safety (FS) against Yield?, [2 pts.]
III- Calculate the Critical Buckling Load of the Bar/Column Assuming that:
Euler's (Long Column) Equation applies and
The Bar will Buckle in the Weak Direction [3 Pts.]
IV-Considering the Results obtained in steps (I) and (III), what is the Factor of Safety (FS) against Buckling? [1 pts.] Use 3 sig. Fig. in this problem.
\table[[
L
,Gap,a,E,Tinitial,T final,Sy,Section,Orientation],[11.8 inch,\table[[0.040],[inch]],
10.5x
(10^(-6))/(\deg )F
,
16.0
Mpsi
,
85.0\deg F
,
445\deg F
,\table[[
17.0