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3 (a) The pipe outer diameter 85 mm and thickness 15 mm has observed the circumferential crack of length 2 mm on the surface. The pipe has developed the stresses at the vicinity of crack tip due to mixed load applied on the pipe i.e. torque 350 N-m and axial load 150 N. Determine the stress intensity factor, critical crack length. To show the status of safety of pipe, the manufacturing process induces a residual compressive stress on inside of pipe, which is of the order of 5.75 MPa. The pipe is tested for taking a hoop stress 32.5 MPa and other material properties are yield strength 250MPa and fracture toughness 40 MPa-m$^{1/2}$. (b) A large Plate of 5 mm thickness with centre crack of 30 mm length is subjected to tensile stress of 140MPa. The strain gauge is fixed at crack opening displacement to measure the steel data, the data as follows Normal strain to crack = 0.004 ; $\epsilon_y$ = 0.002; $\sigma_{ys}$ = 350MPa; $\delta_{crit}$ = 0.125mm

          3 (a) The pipe outer diameter 85 mm and thickness 15 mm has observed the circumferential crack of length 2 mm on the surface. The pipe has developed the stresses at the vicinity of crack tip due to mixed load applied on the pipe i.e. torque 350 N-m and axial load 150 N. Determine the stress intensity factor, critical crack length.
To show the status of safety of pipe, the manufacturing process induces a residual compressive stress on inside of pipe, which is of the order of 5.75 MPa. The pipe is tested for taking a hoop stress 32.5 MPa and other material properties are yield strength 250MPa and fracture toughness 40 MPa-m$^{1/2}$.
(b) A large Plate of 5 mm thickness with centre crack of 30 mm length is subjected to tensile stress of 140MPa. The strain gauge is fixed at crack opening displacement to measure the steel data, the data as follows
Normal strain to crack = 0.004 ; $\epsilon_y$ = 0.002; $\sigma_{ys}$ = 350MPa; $\delta_{crit}$ = 0.125mm

$3 (a) The pipe outer diameter 85 mm and thickness 15 mm has observed the circumferential crack of length 2 mm on the surface. The pipe has developed the stresses at the vicinity of crack tip due to mixed load applied on the pipe i.e. torque 350 N-m and axial load 150 N. Determine the stress intensity factor, critical crack length. To show the status of safety of pipe, the manufacturing process induces a residual compressive stress on inside of pipe, which is of the order of 5.75 MPa. The pipe is tested for taking a hoop stress 32.5 MPa and other material properties are yield strength 250MPa and fracture toughness 40 MPa-m^1/2. (b) A large Plate of 5 mm thickness with centre crack of 30 mm length is subjected to tensile stress of 140MPa. The strain gauge is fixed at crack opening displacement to measure the steel data, the data as follows Normal strain to crack = 0.004 ; = 0.002; σys = 350MPa; δcrit = 0.125mm$

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