Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 20, Problem 20.9P
A spherical steel tank,
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Cylinder Heads
A steam boiler, d meter in diameter and L m in length, is made of hard steel,
generates steam at a gauge pressure of p N/mm?. Assuming the efficiency of the
riveted joints as e %. It is closed at both ends by flat cover plates which are
made of Mild steel and freely supported.
1. Determine the wall thickness of the cylinder if the ultimate tensile stress = A
MPa and factor of safety = B.
2. Calculate the minimum thickness necessary of the cover plates with uniformly
distributed load, if the the yield point stress is C MPa and factor of safety of F.
3. Also find the increase in internal diameter, the increase in length and the
increase in volume. Take E = 200 kN/mm² and u = 0.3.
d
A
В
C
F
e
1.18 1.65 5.76 336
5.4
476
2.6
73
Given:
A spherical tank 15 mm thick has an internal pressure of 5 MPa. The joint efficiency is 96% and the stress is limited to 46.88 MPa. Find the maximum diameter of the vessel (mm).
Choices:
540mm
450 mm
405mm
504 mm
(Answer seems to be 540mm ,But which formula Should used? since efficiency given)
A 50 inches diameter storage tank is used to store air at an internal pressure of 625 psi with a FS = 4.5 based on ultimate strength. If the welded joints have a joint strength efficiency of 80% and the steel used to create the tank hasan equivalent strength similar to C1118,a. find a suitable plate thickness of the tank. Compare the stresses for both diametral section and longitudinal sectionb. Using the thickness solved in (a), determine the pressure to cause actual failure to the vessel
Chapter 20 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 20 - Prob. 20.1PCh. 20 - Calculate the tensile stresses developed...Ch. 20 - Calculate the internal water pressure that will...Ch. 20 - Calculate the wall thickness required for a 1.25...Ch. 20 - A spherical gas container, 52 ft in diameter, is...Ch. 20 - Calculate the tensile stresses (circumferential...Ch. 20 - 20.7 A gas is to be stored in a spherical steel...Ch. 20 - 20.8 The longitudinal joint in an -ft-diameter...Ch. 20 - A spherical steel tank, 15 m in diameter, is to...Ch. 20 - 20.10 A closed cylindrical tank for an air...
Ch. 20 - Prob. 20.11PCh. 20 - For the following computer problems, any...Ch. 20 - For the following computer problems, any...Ch. 20 - Calculate the circumferential and longitudinal...Ch. 20 - 20.16 A welded aluminum alloy cylindrical pressure...Ch. 20 - Prob. 20.17SPCh. 20 - 20.18 A spherical tank is to hold of gas at a...Ch. 20 - 20.19 A closed cylindrical air-compressor tank is ...Ch. 20 - 20.20 A cast-iron pipe, ft in diameter, is...Ch. 20 - 20.21 A steel pipe located in a hydroelectric...Ch. 20 - 20.22 Calculate the tensile stresses...Ch. 20 - 20.23 A -ft-diameter steel pipe is made...Ch. 20 - 20.24 Rework Problem, changing the joint...Ch. 20 - 20.25 A piece of -in-diameter pipe of -in, wall...Ch. 20 - 20.26 A vertical cylindrical steel tank, open at...
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- A steam boiler, d meter in diameter and L m in length, is made of hard steel, generates steam at a gauge pressure of p N/mm2 . Assuming the efficiency of the riveted joints as e %. It is closed at both ends by flat cover plates which are made of Mild steel and freely supported. 1. Determine the wall thickness of the cylinder if the ultimate tensile stress = A MPa and factor of safety = B. 2. Calculate the minimum thickness necessary of the cover plates with uniformly distributed load, if the the yield point stress is C MPa and factor of safety of F. 3. Also find the increase in internal diameter, the increase in length and the increase in volume. Take E = 200 kN/mm2 and u = 0.3. d= 1.1 L= 1.54 ; p= 5.68 ; A= 328 B= 4.6 ; C= 494 ; F = 3 e= 69arrow_forwardCalculate the minimum wall thickness for a cylindrical vessel that is to carry a gas at a pressure of 10 MPa. The diameter of the vessel is 0.6 m and the hoop stress is 83 MPa and the longitudinal stress is 40 MPa.arrow_forwardAn aluminium rod 20 mm in diameter is screwed at the ends and passes through a 25 mm bore steel tube 3 mm thick. Rigid washers and nuts are the fitted to the screwed ends of the aluminium rod and the whole system heated to 140°C, when the nuts on the rod are lightly tightened to take up any slack. Calculate the stress in the rod and tube when the assembly has cooled to 20°C. (EsT = 200 GPa; EAL = 70 GPa; açT = 12 x 10-6 /°C; a, = 23 x 10-6 /°C)arrow_forward
- DESIGN Situation No. 1 – A pressure vessel 360 mm in diameter it to be fabricated from steel plates. The vessel is to carry an internal pressure of 6 MPa. 1. What is the required thickness of the plate if the vessel is to be cylindrical and the allowable steel stress is 120 MPa. 2. What is the required thickness of the plate if the vessel is to be spherical and the allowable steel stress is 120 MPa. 3. If the vessel to be fabricated is cylindrical using 12 mm thick steel plate, what is the maximum internal pressure that the vessel can carry if the allowable steel stress is 60 MPa.arrow_forwardAsaparrow_forwardCalculate the axial stress in a tube that is stretched by a tensile axial force of 4500 N if the tube has an outer diameter of 25 mm and an inner diameter of 20 mm.arrow_forward
- . A steel boiler 2.5 m in diameter has a wall thickness of 25 mm. The internal pressure is 1.6 MPa. Calculate the factor of safety if the maximum permissible stress for it is 250 MPa?arrow_forwardAn AISI 1050 HR solid tube of 20mm diameter is acted by force F1 = IkN, and force F2 of 2kN. The tube is welded to a larger round base by 3mm fillet weldment, the base is connected to the ground base (shown in gray color) by means of four bolts M8x1.25mm (property class of 4.8)). The bolts are evenly distributed at 20mm away from the center of the tube. R=100 F1 120 120. F2 R=100 D =20 120 R=3 D =60 40 Dimensions are in mm Perform the following the following: 1- Find the state of stress for the most critical point on the assembly and build the mohr's circle. Solve question 1arrow_forwardDesign a double riveted butt joint with two cover plates for the longitudinal seam of a boiler shell 2 m in diameter subjected to a steam pressure of 1 N/mm². Assume joint efficiency as 80%, allowable tensile stress in the plate 70 MPa; compressive stress 140 MPa; and shear stress in the rivet 56 MPa.arrow_forward
- A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 4.5 MPa.Calculate the transverse stress in steel.arrow_forwardA steam boiler, 1.2 meter in diameter, generates steam at a gauge pressure of 0.7 N/mm2. Assuming the efficiency of the riveted joints as 75%, find the thickness of the shell. Given that ultimate tensile stress = 385 MPa and factor of safety = 5arrow_forwardQuo 2.11. Design the longitudinal and circumferential joint for a boiler whose diameteris 2.4 meter and is subjected to a pressure of 1 N/mm?. The longitudiral joint is a triple riveted butt joint with an efficiency of about 85% and the circumferentialjoint is a double riveted lap joint with an efficiency of nbout 70 %. The pitch in the outer rows of the rivets is to be double than in the inner rows and the width of the cover plate is unequal. The allowable stresses are: 0,=7 MPa, r = 56 MPa and o̟ = 120 MPa. Asgume that the resistance of rivets in double shear is 1.875 times that of single shear. Draw the complete joint.arrow_forward
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