173_Mechanics Homework Mechanics of Materials Solution

173_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 2.C4 2.C4 Bar AB has a length L and is made of two different materials of given cross-sectional area, modulus of elasticity, and yield strength. The bar is subjected as shown to a load P which is gradually increased from zero until the deformation of the bar has reached a maximum value 8m and then decreased back to zero. (0) Write a computer program that. for each of 25 values of 6," equally spaced over a range extending from 0 to a value equal to 120% of the deformation causing both materials to yield. can be used to determine the max- imum value P," of the load. the maximum normal stress in each material, the permanent deformation 5!, of the bar, and the residual stress in each material. (b) Use this program to solve Probs. 2.109, 2.l l l. and 2.] I2. SOLUTION NOTE: THE FOLLOWING ASSUMES-(6}); <(a‘Y)2 DISPLACEMENT INCREMENT . {M = 0.05'(<rY)ZL;E2 Di5PLACEMENTS AT YIELD/N6.- 6; = (a), L/E, 55 = (0;)? L/Ez FOR EAcH DISPLAC EMENT Pm = m“, +‘(a’m/L) A261 07 1(0} )’ 0—7. =(WYiz Pm = A. 0‘, + A2 or; - PERMANENT DEFORMMm/vs RESlDUAL. STRESSej ____.___________J_—.. 5mm: OF FMS? (Etasm) SEGMENT stops: = (ms, +£11.52 )/L JP: 6m Jan/stops) (Unit-es : G: “(Elfin/“SLOPE” )rc = 0—2 «(Elfin/(l. 51095)) CONTINUED ! 'l l 4. LL] f— l | l" "" "Tl ...
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