A spherical pressure vessel is constructed by bolting two hemispheres together along rigid flanges as shown in the sketch. The sphere has an internal diameter of 1.5 m and the plate thickness is 5 mm. Allowable tensile stresses are 45 MPa in the shell and 80 MPa in the bolts. 1. Calculate the allowable gauge pressure 2. Determine the number of bolts required if the bolt diameter is 25 mm (Note: bolt root diameter = 0.84 × nominal bolt diameter)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.4P: Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield...

See similar textbooks

Related questions

Q: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected…

Q: Tutorial Sheet Part 1 (Basics) A thin-walled pressure vessel has a diameter of 45mm, a wall…

Q: A steel tube of 200 mm external diameter is to be shrunk onto another steel tube of 60 mm internal…

A: For inner tube: Write the expressions for A and B for thick cylinder. At r=0.030,…

Q: in the figure. Also, determine the factor of safety for the tank based on Von-Misses and Tresca…

Q: A mechanism used in printing machinery consists of a helical spring which is having a wire diameter…

Q: The rectangular bar shown is connected to a support bracket with a 27 mm diameter pin. The width of…

Q: In the assembly of the bronze tube and steel bolt shown in the figure, the pitch of the bolt thread…

A: GIVEN DATA -

Q: the ratio of circumferential (hoop) stress to the longitudinal stress.

A: Circumferential (hoop) stress formula for thin Cylinder. σc = Pd2t. For longitudinal stress is,…

Q: Q3. A welded steel cylindrical drum made of a 15mm thickness plate has an internal diameter of 1.50…

Q: Calculate the tangential stress in the steel.

A: Given that , R=250mm t=20mmP=4.5MN/m2 =4.5×106N/m2

Q: A steel rod 20 mm in diameter passes centrally through a steel tube of 25 mm internal diameter and…

A: Given Compressive load on the tube = 20 kN E = 2 x…

Q: The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of…

A: Given Data The diameter of pin is:d=24mm=24×10-3 m The width of the rectangular bar is:b=70…

Q: A boiler with an outside diameter of 300 mm, length of 1000 mm and a wall thickness of 10 mm is…

Q: b) For the thin walled pressure vessel subjected to an internal pressure of 150 psi and as shown…

A: Given data: - The pressure inside vessel is P = 150 psi. The length of the vessel is L ft. The…

Q: 8. A solid steel bar of diameter d, = M mm has a hole of diameter d2 = N mm drilled through it. A…

Q: Q1. A compound bar consists of a circular rod of steel of 25 mm diameter rigidly fixéd Into a copper…

A: The given area of the circular rod is given below.

Q: 4. A ring made of 2-5 cm diameter steel bar carries a pull of 10 kN. Calculate the maximum tensile…

A: Given: The diameter of ring, d = 2.5 cm 0.025 m The load, P = 10 kN The mean radius, R = 15 cm =…

Q: 1) For the data given below, calculate the minimum value of the thickness of the object in the…

A: Given: The maximum allowed normal stress = 400 MPa The maximum allowed shear stress = 240 MPa The…

Q: PROBLEM 2. The forces shown in the figure are applied to a plate connected to a pipe with an outer…

Q: Engineer firms in many situations must verify the reliability of existing purchased designs. Your…

Q: Question 3 A steel rod 20 mm in diameter passes centrally through a steel tube of 25 mm internal…

Q: A steel rod 20 mm in diameter passes centrally through a steel tube of 25 mm internal diameter and…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of…

A: Answer: (a) The stress in the aluminum rod: 16.80 MPa. (b) The stress in the copper rod: 6.71 MPa.

Q: . Find the thickness of the flat end cover plates for a 1 N/mm2 boiler that has a diameter of 600…

Q: A cylindrical pressure vessel has an internal diameter of 2 m and is fabricated from plates 20 mm…

Q: Problem 4 A thin-walled cylindrical pressure vessel has an internal diameter of d = 2 m and a wall…

Q: The pressure vessel shown has diameter 7.8 (in) and thickness 0.164 (in) and is made of steel with…

A: Given: The diameter of the pressure vessel is d=7.8 in The thickness of the pressure vessel is…

Q: The two wooden boards shown in Figure are connected by a 0.5-in.-diameter bolt. Washers are…

Q: submersible cylinder used in research has a cylindrical pressure hull of outside diameter 3.0 m and…

Q: Design engineers in many situations must justify their selection of material. Your role in a…

A: Pressure, P = 250 psi Thickness, t = 0.25 in Diameter, d = 1 foot = 12 in a) Longitudinal stress…

Q: A ladder with a uniform cross-section has a length of 4.80-foot long. It weighs W Ib. It is arranged…

Q: A 28mm diameter round steel bar is 0.4m long. It is placed concentrically within a brass tube which…

Q: PROBLEM 2 Plates A, B and C are of the same thickness, 50mm. Pin diameter = 50mm Find the following:…

A: Given: Two plates A and B at connected to Plate C through a pin as shown in the diagram given in…

Q: 3. The figure shown is fabricated from a 20 mm steel plate. Find the max longitudinal and…

Q: Q1: A steel pipe column with outside diameter0.5 in and its wall thickness 0.25 in. supports a load…

A: The bearing stress is calculated by dividing the force that presses a structure by its area. It can…

Q: A cylindrical steel pressure vessel 200 mm radius with a thickness of 20 mm, is subjected to an…

A: Given: P = 5 MN/m2 t = 20 mm r = 200 mm

Q: The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of…

Q: A cylindrical pressure vessel is fabricated from steel plating that has wall a thickness of 10 mm…

Q: The yoke and rod connection assembly shown in the figure below is subjected to a tensile force of 5…

A: For the given universal joint it is required to determine: 2.1 tensile stress in each rod 2.2 shear…

Q: Q1 :In the following arrangement of structure (fig1) each sold bar has a 36N/m weigh If the…

Q: A cylindrical pressure vessel is fabricated from steel plating that has a wall thickness of 15 mm,…

A: Wite the expression for the longitudinal stress (axial stress)

Q: The bar ABCD in Fig. (a) consists of three cylindrical steel segments with different lengths and…

Q: 11. A steel rod of 25 mm diameter is fitted inside a brass tube of 25 mm internal diameter and 375…

Q: If the flat link shown below has an allowable tensile stress of 75 MPa, then a force P 1800 N will…

Q: Engineer firms in many situations must verify the reliability of existing purchased designs. Your…

Q: The yoke and rod connection assembly shown in the figure below is subjected to a tensile force of 5…

Q: À solid steel bar of diameter di = M mm has a hole of diameter d =N mm drilled through it. A steel…

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

100%

A spherical pressure vessel is constructed by bolting two hemispheres together along rigid flanges as shown in the sketch. The sphere has an internal diameter of 1.5 m and the plate thickness is 5 mm. Allowable tensile stresses are 45 MPa in the shell and 80 MPa in the bolts. 1. Calculate the allowable gauge pressure 2. Determine the number of bolts required if the bolt diameter is 25 mm (Note: bolt root diameter = 0.84 × nominal bolt diameter) 3. A thin copper tube, 14 mm internal diameter and 0,5 mm wall thickness has closed ends and rotates at 1200 r/min while it is subjected to an internal gauge pressure of 222 Pa. Calculate the total hoop stress in the wall of the tube if the density of copper is 8900 kg/m3.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The pressure P of the gas in the cylinder is290psi, the inside diameter D of the cylinder is 10.0 in., and the diameter dBof the bolts is 0.50 in. I f the allowable tensile stress in the bolts is 10,000 psi, find the number n of bolts needed to fasten the cover.
A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
An element on the top surface of the fuel tanker in Problem 7.2-1 is in biaxial .is in the and is subjected to stresses a, = 6250 psi and a. = -1750 psi, as shown in the figure. Using Mohr s circle, determine the following: (a) The stresses acting on an element oriented at a counterclockwise angle ? = 550 from the x axis. (b) The maximum shear stresses and associated norm al stresses. Show all results on sketches of properly oriented elements.
The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
A cylindrical pressure vessel is made by shrinking a brass shell over a mild steel shell. Both cylinders have a wall thickness of 6 mm. The nominal diameter of the vessel is 750 mm and is to be used in all calculations involving the diameter. When the brass cylinder is heated 50°C above room temperature, it exactly fits over the steel cylinder which is at room temperature. What is the stress in the brass cylinder when the composite vessels cool to room temperature? E for steel=200 GPA E for brass = 100 GPA a for steel = 12 x 10"/C a for brass = 19 x 106/°C Wrong answers will be downvoted
A 12 mm thick steel tire has a width of 110 mm has an internal diameter of 800 mm. Tire is heated and shrunk to a steel wheel 800.5 mm in diameter. E=200 MPa. Find the tensile stress in the tire. Look for the compressive pressure between the tire and wheel.
(b) Determine the thickness of a plain cylinder head for 0.3m cylinder. The maximum gas pressure is approximately 3.2N/mm. Design the studs also for the cylinder cover. Assume the allowable hoop stress =42 N/mm' for cast iron; the allowable tensile stress for material of studs =63 N/mm?
The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of the rectangular bar is 80 mm and its thickness is 25 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket.just bearing stress in the rectangular bar. Rectangular bar Support bracket