3. The state of stress at a point in a continuum body is given by X 1.5 0 1.0 0 00 [a] 1.5 0 MPa where X is a non-zero value but has not been determined. If the body is made up of a brittle material that fractures along the plane of maximum principal stress and the critical tensile stress at which fracture occurs is 5 MPa, (a) what is the maximum value of X that the body can sustain without fracture? (b) if X were to reach the critical value, what would be the orientation of the fracture plane? Show the stress state on a properly oriented element.

Answer should be in MPa

A particular body is in plane stress where the normal and shear stresses vary with position according to the following continuous functions: 2x – y², 0yy = 10z,0xy 5x + 10y (values in N/m2) Oxx What body forces per unit volume (N/m³) are needed to keep the body in static equilibrium? O fx = 12, fy = 5 %D fx = 5, fy = 2 O fx = 10, fy = 0 O none needed

640 480 160 0.002 0,004 0.006 0.008 0.010 Strain (mm/mm) A tensile test specimen of Aluminum alloy having a gauge length of 280 mm was tested to fracture. Stress and strain data obtained during the test are shown in the attached Figure. **Answers are approximate - do your best to read the graph. Determine: (a) the modulus of elasticity in GPa (4sigs). Enter this value into D2L answer box. (b) the proportional limit in MPa (3sigs). (c) the ultimate strength in MPa (3sigs). (d) Ductility of material based on percent elongation. (3sigs) Your Answer: Stress (MPa)

A tensile test specimen of stainless steel alloy having a diameter of 0.495 in. and a gage length of 2.00 in. was tested to fracture. Stress and strain data obtained during the test are shown. Determine the true fracture stress if the final diameter of the specimen at the location of the fracture was 0.350 in. Stress (ksi) 120 Upper scale Lower scale H 0.0 0.020 0.040 0.060 0.080 0.100 0.120 0.0 0.002 0.004 0.006 0.008 0.010 0.012 Strain (in./in.) 90 60 30 0- 300 ksi O 126 ksi EA O 237 ksi O 202 ksi O 261 ksi

Determine the percentage of ductility of a metal alloy having the following tensile stress-strain diagram. Tensile stress-strain diagram 450 400 350 300 250 200 150 100 NO 50 0.05 0.1 0.15 0.2 0.25 0.3 0 35 0.4 Strain 300 EN Stress (Mpa)

A body is subjected to multiple applied forces and moments. The force present on a 10m area with a planar normal in the k direction (x-direction) can be descríbed by 4i + 3j+ 2k (Newtons). Which of the following describes the mean stress on the 10 m2 area? 5 MPa tangential plus 2 MPa normal 5 MPa tangential 2 MPa normal 5 MPa normal

Hello, the stress and cycles required for this question is Stress 1 = 420MPa at 7 cycles, Stress 2 = 360MPa at 65 cycles and Stress 3 = 130MPa at 325 cycles. Use the first three cycles (which shows how many cycles at that stress level to failure) to calculate when the specimen will fail if it underwent test of 7 cycles at 420MPa, then undergoes 360MPa for 65 cycles and finally 130MPa at 325 cycles. Will the specimen fail? Please show calculations of failure

Can someone please help me to correctly solve all the following parts of this question. Thank you!

the material had a tensile stress of 67.7 ksi then was unloaded. the original length of the specimen was 5.0 inches. show the line on the diagram you would expect the material to follow as the load was released. estimate the length of the specimen after all load was removed.