Problem 1. Consider a double-edge-notched plate made of AISI4130 steel (u = 817 MPa) is subjected...

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Problem 1. Consider a double-edge-notched plate made of AISI4130 steel (u = 817 MPa) is subjected to an axial force P, as in Figure 1b. w = 38.10 mm, w = 57.15 mm, p = 8.06 mm, t = 5.0 mm. Answer the following questions: Assume the fatigue limit for smooth member is de = 0.50u, what completely reversed force amplitude Pa can be applied to the notched member for 106 cycles? K K 3.0 2.6 2.2 1.8 1.4 1.0 3.0 2.6 2.2 1.8 1.4 1.0 0 0 dow W 0.1 W/W=2 1.5 Ft 0.2 0.3 d/w 1.2 1.1 P 1.02 (c) S P (W d)t 0.4 0.5 0.6 W2 W P P P Wt S= 3.0 2.6 2.2 1.8 1.4 1.0 3.0 2.6 0 2.2 1.8 1.4 1.05 (b) + 1.1 W1 0.05 1.05 1.1, 1.02 1.5 1.2 W2 P W/W=2.0 0.1 0.15 p/W 1.5 W2 W/W=3 S= 0.2 Wt W S= P 0.25 6M W2t 1.0 0.05 0.1 0.15 0.2 0.25 0.3 0 p/W 0.05 0.1 0.15 0.2 0.25 p/W Figure 1 Elastic stress concentration factors for notched plates M 0.3 0.3 Problem 1. Consider a double-edge-notched plate made of AISI4130 steel (u = 817 MPa) is subjected to an axial force P, as in Figure 1b. w = 38.10 mm, w = 57.15 mm, p = 8.06 mm, t = 5.0 mm. Answer the following questions: Assume the fatigue limit for smooth member is de = 0.50u, what completely reversed force amplitude Pa can be applied to the notched member for 106 cycles? K K 3.0 2.6 2.2 1.8 1.4 1.0 3.0 2.6 2.2 1.8 1.4 1.0 0 0 dow W 0.1 W/W=2 1.5 Ft 0.2 0.3 d/w 1.2 1.1 P 1.02 (c) S P (W d)t 0.4 0.5 0.6 W2 W P P P Wt S= 3.0 2.6 2.2 1.8 1.4 1.0 3.0 2.6 0 2.2 1.8 1.4 1.05 (b) + 1.1 W1 0.05 1.05 1.1, 1.02 1.5 1.2 W2 P W/W=2.0 0.1 0.15 p/W 1.5 W2 W/W=3 S= 0.2 Wt W S= P 0.25 6M W2t 1.0 0.05 0.1 0.15 0.2 0.25 0.3 0 p/W 0.05 0.1 0.15 0.2 0.25 p/W Figure 1 Elastic stress concentration factors for notched plates M 0.3 0.3