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Unformatted text preview: Name: Session: 2 A nonprismatic bar ABC made up of segments AB (length 2 L , cross-sectional area 2 A ) and BC (length L , cross-sectional A ) is fixed at end A and free at end C (see figure). The modulus of elasticity and the coefficient of thermal expansion of the bar are E and , respectively. A small gap s exists between the end of the bar and an elastic spring of spring constant k . If bar ABC (not the spring) is subjected to temperature increase T , determine the following: (a) Find the temperature increase T c so that the gap is closed. (b) Write an expression for the reaction forces R A and R D if T > T c . (c) If the yielding stress of the material of the bar is y , determine the maximum allowable value of the temperature increase for a factor of safety of 2 with respect to yielding. 2 L s A B C k L D Solution: (a) ( ) s L L T c = + 2 L s T c 3 = (b) FBD EQM = = = R R R F D A x Compatibility s s BC AB = + + ( ) ( ) ( ) ( ) D A R R k...
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This note was uploaded on 09/18/2011 for the course EM 319 taught by Professor Staff during the Spring '11 term at Oklahoma State.
- Spring '11