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4. A structural member is subjected to combined loading so that the stress as shown in...
4. A structural member is subjected to combined loading so that the stress as shown in...
4. A structural member is subjected to combined loading so that the stress as shown in Fig. P4 occurs at a critical point. The tensile yield strength of the material is 300 MPa. What will be the safety factor according to maximum shearing stress theory? (a) 2.98. (b) 2.58, (c) 1.58, (d) 2.08, (e) none of above 120 50 30 50 80 20 MPa 30 20 10 Fig. P4
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a...
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d= 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. B 450 mm (a) Determine the maximum tensile stress 0 [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point...
P B Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to...
P B Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force Pat a collar B. The tank has an inner diameter (d = 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. (a) Determine the maximum tensile stress o [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point a. (b)...
Part 1 Correct Consider a point in a structural member that is subjected to plane stress....
Part 1 Correct Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
A ground steel shaft with a shoulder fillet has dimensions: D= 30 mm, d=25 mm and...
A ground steel shaft with a shoulder fillet has dimensions: D= 30 mm, d=25 mm and r= 2 mm. It is subjected to a combined nominal loading of 40 to 190 MPa bending stress and torsional stress of 20 to 70 MPa, which are in phase. Find the safety factor for infinite life if ultimate tensile strength is 965 MPa, state all assumptions.
Combined loading A rod with the diameter of 20 mm is subjected to a force P...
Combined loading A rod with the diameter of 20 mm is subjected to a force P - 1800 N, as shown in the figure. The rod is fixed to the wall at Point C.L.- 50 mm and L-200 mm. Determine the magnitude of the shear stress MPa at Point Blocated on the surface of the rod on the designated positive z axis (rounding to two decimal places).
Q1. [15 Marks] The stress field in a thin flat structural member can be described by...
Q1. [15 Marks] The stress field in a thin flat structural member can be described by the following equations: Ox 20x + 30xy2 + 20y Oy = 30x2 – 50xy + 20 Txy = 20x – 100y? 02 = Txz = Tyz = 0 where (x, y, z) are in metres and the stress components are in MPa. a) Determine the body forces required to support the structural member in equilibrium; [2 marks] b) Draw a 2D stress element at...
(A) 8 mm 100 mm Problem 1 (20 pts): Stress Concentrations Consider the flat bar with...
(A) 8 mm 100 mm Problem 1 (20 pts): Stress Concentrations Consider the flat bar with shoulder joints shown in Fig. A which is subjected to a tensile force P = 58 kN. The bar is made of Aluminum 6061 having maximum tensile strength Omax = 290 MPa. NOTE: plots of stress concentration factors for different types of loading can be found on page 6. (a) Determine the radius r [mm] for the fillets. (b) An identical flat bar shown...
Q2. The state of stress on the surface of part of an engineering component is shown...
Q2. The state of stress on the surface of part of an engineering component is shown in Fig. 22. 94 MPa 51 MPa 25° 63 MPa Fig. Q2 - The State of Stress on the Surface of an Engineering Component (a) Using graph paper construct a Mohr's Stress Circle for the element and hence determine the magnitudes of the principal stresses and orientations of the principal planes. Clearly label these features on your diagram and sketch the state of stress...
Calculate the modulus of resilience for the material having the stress-strain behavior shown in the Animated...
Calculate the modulus of resilience for the material having the
stress-strain behavior shown in the Animated Figure 6.12.
Tensile strength 450 MPa (65,000 psi) Strain 0 Stress 0 MPA Stress 0 psi 500 70 Strain0 Stress 0 MPA Stress 0 psi 60 400 103 ps 50 MPa 40 Yield strength 250 MPa (36,000 psi) 300 40 0 200 30 200 30 20 100 20 10 100 10 0.10 0.20 0.30 0.40 Strain
4. A structural member is subjected to combined loading so that the stress as shown in Fig. P4 occurs at a critical point. The tensile yield strength of the material is 300 MPa. What will be the safety factor according to maximum shearing stress theory? (a) 2.98. (b) 2.58, (c) 1.58, (d) 2.08, (e) none of above 120 50 30 50 80 20 MPa 30 20 10 Fig. P4
P Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force P at a collar B. The tank has an inner diameter (d= 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. B 450 mm (a) Determine the maximum tensile stress 0 [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point...
P B Problem 3 (30 pts): Combined Loading A pressurized cylindrical air tank is subjected to a force Pat a collar B. The tank has an inner diameter (d = 160 mm) with wall thickness (t = 6 mm). The gage pressure inside the tank is p = 5 MPa and the applied force is P=9.5 kN. (a) Determine the maximum tensile stress o [MPa], maximum compressive stress oc [MPa] and maximum shear stress Tmax [MPa] at point a. (b)...
Part 1 Correct Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
A ground steel shaft with a shoulder fillet has dimensions: D= 30 mm, d=25 mm and r= 2 mm. It is subjected to a combined nominal loading of 40 to 190 MPa bending stress and torsional stress of 20 to 70 MPa, which are in phase. Find the safety factor for infinite life if ultimate tensile strength is 965 MPa, state all assumptions.
Combined loading A rod with the diameter of 20 mm is subjected to a force P - 1800 N, as shown in the figure. The rod is fixed to the wall at Point C.L.- 50 mm and L-200 mm. Determine the magnitude of the shear stress MPa at Point Blocated on the surface of the rod on the designated positive z axis (rounding to two decimal places).
Q1. [15 Marks] The stress field in a thin flat structural member can be described by the following equations: Ox 20x + 30xy2 + 20y Oy = 30x2 – 50xy + 20 Txy = 20x – 100y? 02 = Txz = Tyz = 0 where (x, y, z) are in metres and the stress components are in MPa. a) Determine the body forces required to support the structural member in equilibrium; [2 marks] b) Draw a 2D stress element at...
(A) 8 mm 100 mm Problem 1 (20 pts): Stress Concentrations Consider the flat bar with shoulder joints shown in Fig. A which is subjected to a tensile force P = 58 kN. The bar is made of Aluminum 6061 having maximum tensile strength Omax = 290 MPa. NOTE: plots of stress concentration factors for different types of loading can be found on page 6. (a) Determine the radius r [mm] for the fillets. (b) An identical flat bar shown...
Q2. The state of stress on the surface of part of an engineering component is shown in Fig. 22. 94 MPa 51 MPa 25° 63 MPa Fig. Q2 - The State of Stress on the Surface of an Engineering Component (a) Using graph paper construct a Mohr's Stress Circle for the element and hence determine the magnitudes of the principal stresses and orientations of the principal planes. Clearly label these features on your diagram and sketch the state of stress...
Calculate the modulus of resilience for the material having the
stress-strain behavior shown in the Animated Figure 6.12.
Tensile strength 450 MPa (65,000 psi) Strain 0 Stress 0 MPA Stress 0 psi 500 70 Strain0 Stress 0 MPA Stress 0 psi 60 400 103 ps 50 MPa 40 Yield strength 250 MPa (36,000 psi) 300 40 0 200 30 200 30 20 100 20 10 100 10 0.10 0.20 0.30 0.40 Strain
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