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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The squared and grounded ends of a safety valve with 7.5 coils. The coils measure 105 mm in diameter on the outside and 17 mm wire diameter. It measures 210 mm in free length. 82 Gpa is the modulus of rigidity. Calculate the initial compression length of the wire required to maintain a boiler pressure of 1.35 Mpa on a 30 mm diameter valve seat. (Draw the diagram)
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= 69
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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- 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)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_forwardPlease answer the problem. Provide a free body diagram. Show the full, complete and clear solution.arrow_forward
- Consider the steel pressure vessel shown in Figure 1, intended to withstand an internal pressure of 40 MPa. The vessel has an outer diameter of 300 mm, an overall length of 500 mm and a wall thickness of 30 mm. There is a 30 mm fillet radius where the interior wall surface joins the end caps, as shown in the section view in Figure 1. The vessel is made of ASTM A27 steel. Use ANSYS Workbench to simulate this component and comment on its suitability for production given the loading conditions detailed above, assuming plastic deformation is not permitted.arrow_forwardDESIGN 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_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 cylindrical boiler with an inside diameter of 2.5 m and a wall thickness of 40 mm is made of a steel alloy that has a yield stress of 340 MPa. The internal pressure is 1.5 MPa. 1. Calculate the tangential stress in the cylinder in MPa. 2. Calculate the longitudinal stress in the cylinder in MPa. 3. Calculate the allowable pressure in MPa if a factor of safety of 2.0 with respect to yield is required. Kindly answer all numbers with complete solution. Needed ASAParrow_forwardAsaparrow_forwardCalculate the maximum working pressure (in MPa) of a fire tube boiler constructed using 8-mm thick steel plates with an ultimate tensile strength of 380 MPa. The boiler has a shape of a cylinder 2.85 m in dimeter with hemispherical ends. The longitudinal joints have an efficiency of 95%. A factor of safety equal to 5 was used in its design.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_forwardBe quick pleasearrow_forward
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