Question
A beam with a square cross-section of linch x 1inch is cantilevered at one end, and...
A beam with a square cross-section of linch x 1inch is cantilevered at one end, and subjected to a force that fluctuates from F = 120lbf (downward) to F = -600lbf (upward) at its tip. The length of beam is L = 25 inches. The selected steel material has mechanical properties as shown in the following S-N fatigue diagram. Hint: neglect any stress concentration at the support end. (a) (4 points) Calculate the midrange stress om and alternating stress Og at point A and point B of the beam. (b) (6 points) Estimate the fatigue life of material at point A and point B of the beam using the modified Goodman criterion, and find which point will fail earlier. 25" A B Sut (N = 1) = 125 S; (N = 103) = 90 Fatigue strength, Sp.kpsi S (N = 106) = 50 10 10 10 10 10 10 10 Number of stress cycles, N
Answers
25" 1 ㅋ 1 ↑ boosuff (20 lbf 120 lbf Stron Croased due to ( 120 x 25 ) JA (0.5) 18000. PS CA Ctensi 6 wa 6 OBE 18000 PS ( Compsosi ro You Goo Ibf. The Stroo due to JA (600xar) X(05) 90000 PSI Compour) B2 * 90ooo psi (tensice) JAI18000 psi man min 9oooo psi mean : Tmax t min - 36000 PS man - Timin ma 54000 psi. B Than 90000 psi. 12000 psi. 26000 psi. q of 18000 Ta 54000psTour Ta 514000 psi Ss (N=1000) 90 kpsi Tas 54 to kps e Se (N=106) - 50kp to? NE? Pago 1000000 4 - HO (10) Jatigue Yout both A & B = 900 100 cycles point ť Cill fail has Earlier the PH Lensice the ( point B has, Tmi Compressive
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