A spherical shell 2.5 m diameter and 4 mm thick, is subjected to an internal pressure...
Homework Answers
Maximum pressure for maximum
shear stress theory = 0.448 MPa
Maximum pressure gor distortion energy theory= 0.448 MPa
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A spherical shell 2.5 m diameter and 4 mm thick, is subjected
to an internal pressure...
A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1
A shaft subjected to bending moment varying from -200 N m to +500 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
A thick-walled steel cylinder with internal diameter = 16 mm and external diameter = 24 mm is sub...
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
the hollow tube down has an outside diameter of 45 mm and an inside diameter of...
the hollow tube down has an outside diameter of 45 mm
and an inside diameter of 40 mm. the tube is made of an aluminum
alloy with a minimum yield strength of 280 MPa. the bending load is
F =1.5 kN, the axial load is P = 10kN and the twisting moment is T
= 70 N-m. Determine the factor of safety based on the stress at
point A using (a) the maximum shear stress theory and (b) the
distortion...
Answers: QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and...
Answers:
QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components...
with steps please!!! Question3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal...
with steps please!!!
Question3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results.
Question3 Design a thick-walled metallic cylinder of a...
Chapter 15, Supplemental Question 152 A 2.5-in.-diameter solid aluminum post is subjected to a horizontal force of Px = 8.8 kips, a vertical force of Py = 19.3 kips, and a concentrated torque of T = 4...
Chapter 15, Supplemental
Question 152 A 2.5-in.-diameter solid aluminum post is subjected to
a horizontal force of Px = 8.8 kips, a vertical force of Py = 19.3
kips, and a concentrated torque of T = 4.2 kip-ft, acting in the
directions shown. Assume L = 3 in. The yield strength of the
aluminum is 49 ksi, and a minimum factor of safety of FSmin = 1.67
is required by specification. Consider points H and K, and
determine whether the...
Problem 1 A thin-walled pressure vessel of mean radius R 100 mm and thickness t (R) is subjected to cyclic internal pressure p in the range -3 MPa p7 MPa. Using Soderberg's relation with maxim...
Problem 1 A thin-walled pressure vessel of mean radius R 100 mm and thickness t (R) is subjected to cyclic internal pressure p in the range -3 MPa p7 MPa. Using Soderberg's relation with maximum distortional strain energy theory, and safety factor of 2.6 determine the number of cycles to failure ift-5 mm Assume ơy(yield stress)-350 MPa, NY (Number of cycles to yield)-10, ơ (endurance stress)-290 MPa, Ne (number ofcycles associated with endurance stress)-10
Problem 1 A thin-walled pressure vessel...
Question 3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal...
Question 3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where...
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where λ-RRi. Plot in a diagram the value of η as function of λ.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+),...
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
A thick-walled steel cylinder with internal diameter = 16 mm and
external diameter = 24 mm is subjected to a gradually increasing
internal pressure P.
I. Using accurate formulation, determine the value
of P and sketch the distribution of radial, tangential and maximum
shear stresses when:
a. The material of the cylinder first commences to
yield.
b. Yielding progressed to mid-depth of the cylinder
wall (at D= 20 mm ).
c. The material of the cylinder suffers complete
collapse (fully...
the hollow tube down has an outside diameter of 45 mm
and an inside diameter of 40 mm. the tube is made of an aluminum
alloy with a minimum yield strength of 280 MPa. the bending load is
F =1.5 kN, the axial load is P = 10kN and the twisting moment is T
= 70 N-m. Determine the factor of safety based on the stress at
point A using (a) the maximum shear stress theory and (b) the
distortion...
Answers:
QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components...
with steps please!!!
Question3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results.
Question3 Design a thick-walled metallic cylinder of a...
Chapter 15, Supplemental
Question 152 A 2.5-in.-diameter solid aluminum post is subjected to
a horizontal force of Px = 8.8 kips, a vertical force of Py = 19.3
kips, and a concentrated torque of T = 4.2 kip-ft, acting in the
directions shown. Assume L = 3 in. The yield strength of the
aluminum is 49 ksi, and a minimum factor of safety of FSmin = 1.67
is required by specification. Consider points H and K, and
determine whether the...
Problem 1 A thin-walled pressure vessel of mean radius R 100 mm and thickness t (R) is subjected to cyclic internal pressure p in the range -3 MPa p7 MPa. Using Soderberg's relation with maximum distortional strain energy theory, and safety factor of 2.6 determine the number of cycles to failure ift-5 mm Assume ơy(yield stress)-350 MPa, NY (Number of cycles to yield)-10, ơ (endurance stress)-290 MPa, Ne (number ofcycles associated with endurance stress)-10
Problem 1 A thin-walled pressure vessel...
Question 3 Design a thick-walled metallic cylinder of a 200 mm internal diameter for an internal pressure of 30 MPa such as to provide a factor of safety of 3.0 against any yielding in the cylinder and a factor of safety of 4.0 against ultimate collapse. The yield stress of the material is 480 MPa Use both linear and non-linear stress distribution methods of calculation. Compare and discuss the results.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+), where λ-RRi. Plot in a diagram the value of η as function of λ.
Question 1 Show that the ratio of the maximum tangential stress to the average tangential stress ( η ) in a thick-walled elastic cylinder, subjected only to internal pressure, is (1+22) / (1+),...
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