Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
The thin-walled cylindrical pressure vessel shown in Figure 6 has an internal diameter (D) of 2.5 m and a wall thickness (t) of 10 mm. In service it is to be subjected to an internal operating pressure (pi) of 4.8 MNm². During a cycle the pressure varies between zero and the operating pressure. The required fatigue life of the vessel is 3000 cycles. The design recognises the possible presence of manufacturing defects and that failure could occur by fast fracture. -TANK Figure 6 The vessel material has a fracture toughness of 100 MNm-3/2 and the fatigue crack growth is represented by the Paris-Erdogan equation, da =2.5×10-14 (AK) m cycle where AK is in MNm-3/2 dN You may assume that K₁ = 1.20√πa for the vessel defect. For a thin-walled pressure vessel, the stresses are given by, συ pD 2t pD 4t (a) Determine the critical crack length at which failure will occur. (b) Estimate the initial crack length which will just give the required life. (c) What hydraulic test pressure must the vessel be subjected to before going into service in order to ensure that the required life can be achieved?

The thin-walled cylindrical pressure vessel shown in Figure 6 has an internal diameter (D) of 2.5 m and a wall thickness (t) of 10 mm. In service it is to be subjected to an internal operating pressure (pi) of 4.8 MNm². During a cycle the pressure varies between zero and the operating pressure. The required fatigue life of the vessel is 3000 cycles. The design recognises the possible presence of manufacturing defects and that failure could occur by fast fracture. -TANK Figure 6 The vessel material has a fracture toughness of 100 MNm-3/2 and the fatigue crack growth is represented by the Paris-Erdogan equation, da =2.5×10-14 (AK) m cycle where AK is in MNm-3/2 dN You may assume that K₁ = 1.20√πa for the vessel defect. For a thin-walled pressure vessel, the stresses are given by, συ pD 2t pD 4t (a) Determine the critical crack length at which failure will occur. (b) Estimate the initial crack length which will just give the required life. (c) What hydraulic test pressure must the vessel be subjected to before going into service in order to ensure that the required life can be achieved?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
The thin-walled cylindrical pressure vessel shown in Figure 6 has an internal diameter (D) of 2.5 m and a wall thickness (t) of 10 mm. In service it is to be subjected to an internal operating pressure (pi) of 4.8 MNm². During a cycle the pressure varies between zero and the operating pressure. The required fatigue life of the vessel is 3000 cycles. The design recognises the possible presence of manufacturing defects and that failure could occur by fast fracture. -TANK Figure 6 The vessel material has a fracture toughness of 100 MNm-3/2 and the fatigue crack growth is represented by the Paris-Erdogan equation, da =2.5×10-14 (AK) m cycle where AK is in MNm-3/2 dN You may assume that K₁ = 1.20√πa for the vessel defect. For a thin-walled pressure vessel, the stresses are given by, συ pD 2t pD 4t (a) Determine the critical crack length at which failure will occur. (b) Estimate the initial crack length which will just give the required life. (c) What hydraulic test pressure must the vessel be subjected to before going into service in order to ensure that the required life can be achieved?
Transcribed Image Text:The thin-walled cylindrical pressure vessel shown in Figure 6 has an internal diameter (D) of 2.5 m and a wall thickness (t) of 10 mm. In service it is to be subjected to an internal operating pressure (pi) of 4.8 MNm². During a cycle the pressure varies between zero and the operating pressure. The required fatigue life of the vessel is 3000 cycles. The design recognises the possible presence of manufacturing defects and that failure could occur by fast fracture. -TANK Figure 6 The vessel material has a fracture toughness of 100 MNm-3/2 and the fatigue crack growth is represented by the Paris-Erdogan equation, da =2.5×10-14 (AK) m cycle where AK is in MNm-3/2 dN You may assume that K₁ = 1.20√πa for the vessel defect. For a thin-walled pressure vessel, the stresses are given by, συ pD 2t pD 4t (a) Determine the critical crack length at which failure will occur. (b) Estimate the initial crack length which will just give the required life. (c) What hydraulic test pressure must the vessel be subjected to before going into service in order to ensure that the required life can be achieved?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS