Q4) A plate 52 mm wide, 52 mm long, and 7 mm thick is loaded in tension in thedirection of the length. The plate contains a crack as shown in the figure below,with a crack length of 11.5 mm. The material is steel with Kic= 80 MPa(m)(1/2) and Sy = 950 MPa.Determine the maximum possible load (in kN) before the plate has uncontrollablecrack growth.(Beta)7.06.05.04.03.02.01.0a0.2σh/b=0.51.00.4a/b ratio0.6O.

Answered: Image /qna-images/answer/ad77348c-40c5-4e57-af5f-9cfcb929c15d.jpg

Q4) A plate 52 mm wide, 52 mm long, and 7 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below, with a crack length of 11.5 mm. The material is steel with Kc = 80 MPa (m)(1/2) and S₂ = 950 MPa. Determine the maximum possible load (in kN) before the plate has uncontrollable crack growth. (Beta) 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.2 h/b=0.5 1.0 0.4 a/b ratio 0.6 O.

Q4) A plate 52 mm wide, 52 mm long, and 7 mm thick is loaded in tension in the direction of the length. The plate contains a crack as shown in the figure below, with a crack length of 11.5 mm. The material is steel with Kc = 80 MPa (m)(1/2) and S₂ = 950 MPa. Determine the maximum possible load (in kN) before the plate has uncontrollable crack growth. (Beta) 7.0 6.0 5.0 4.0 3.0 2.0 1.0 0.2 h/b=0.5 1.0 0.4 a/b ratio 0.6 O.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

See similar textbooks

Similar questions

A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
A thin-walled cylinder of a high-strength aluminumalloy (KIC = 24 MPa √m ) has the following dimensions:length = 20 cm; outer diameter = 9 cm; inner diameter7 cm. A semicircular crack of depth a = 0.25 cm is discovered on the inner diameter and oriented along a line parallelto the cylinder axis. If the cylinder is repeatedly pressurized,how many pressure cycles could the cylinder withstandbefore failure? The pressure within the cylinder reaches75 MPa, and the material obeys a fatigue crack propagationrelation of the formda/dN = 5 x 10-39(ΔK)4where da/dN and ΔK have the units of m/cycle and Pa √m ,respectively.
Consider a steel plate with a through-thickness edge crack like the one shown in Fig. 6.21f. The plate width (W) is 75 mm, and its thickness (t) is 12.0 mm. Furthermore, the plane-strain fracture toughness and yield strength values for this material are 80 MPa m1/2 and 1200 MPa, respectively. If the application in which the plate is used is expected to cause a stress of 300 MPa along the axis perpendicular to the crack, would you expect failure to occur if the crack length a is 15 mm? Explain.
The top lid of a nuclear reactor is being held by clamping screws which are made of AISI 4340 steel tempered at 260°C. They are stressed to a maximum level of 1050 MPa during a pressurization test before starting the reactor. Find the factor of safety guarding against yielding and the factor of safety guarding against crack propagation if the initial cracks in the material have B=1.3 and a=1.2 mm
An NDT examination of a steel component reveals the presence of a 5 mm long edge crack. If plane - strain conditions prevail (KIC = 75 MPa.m0.5), what would be the residual service lifetime of the steel part if it were subjected to repeated stresses of 400 MPa? The Paris law equation for the steel has parameters of A=4X10-37 and m = 4
Q. 3. The flexural strength of a composite material reinforced with glass fibers is 45,000 psi, and the flexural modulus is 18 * 106 psi. A sample, which is 0.5 in. wide, 0.375 in. high, and 8 in. long, is supported between two rods 5 in. apart. Determine the force required to fracture the material and the deflection of the sample at fracture, assuming that no plastic deformation occurs.
Question 1: Taking the safety factor as 2 for the loading condition shown in the figure, we can calculate the maximum axial force (P) that can be applied. d=100mma) On the theory of maximum normal stressb) Maximum shear stress theoryc) Calculate according to the maximum strain energy theory.The structure is made of steel and the proportional limit is 250 MN / m2 in pressing and drawing, and 140 MN / m2 in shear. The elasticity module of the material is 200 GPa and the Poisson's ratio is 0.3. d=100mm
Some aluminum aircraft components have a KIc = 35 MPa(m)1/2. It has been determined that failure occurs at a stress of 250 MPa when the critical internal crack length is 2 mm. Will this component achieve failure at a stress of 325 MPa when the critical internal crack length is 1.1 mm?