A thin cylindrical pipe with an inside diameter of 300 mm is 6 mm thick and fitted with end covers. It is subjected to an internal pressure of 5.2 MPa. Calculate the circumferential and longitudinal stress induced. Which axially applied compressive load would reduce the longitudinal stress to zero?

A thin cylindrical pipe with an inside diameter of 300 mm is 6 mm thick and fitted with end covers. It is subjected to an internal pressure of 5.2 MPa. Calculate the circumferential and longitudinal stress induced. Which axially applied compressive load would reduce the longitudinal stress to zero?

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 8.2.1P: A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the...

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: 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: A steel tube of 300 mm external diameter is to be shrunk on to another steel tube of 90 mm internal…

A: Given data: External diameter, d3 = 300 mm, r3 = 150 mm Internal diameter, d1 = 90 mm, r1 = 45 mm…

Q: ort square is 1 1/2 inches x 1 1/2 inches in cross section. it is on an axial tensile load of 11,000…

Q: The dimensions of the compressed air tank manufactured in the form of a cylinder are given in the…

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: A nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress.

Q: A thin-walled cylinder is subjected to an internal pressure P. What is the ratio of the tangential…

A: Giventhin- walled cylinder internal pressure -P

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: Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by…

Q: A nylon thread is subjected to a 1.7-lb tension force. It is given that E = 0.5 × 106 psi and the…

A: Given data: Tension Force in nylon thread = F = 1.7 lb Young's Modulus of the thread = E = 0.5 x 106…

Q: 13.9 (8) A thick cylinder has an internal diameter of 75 mm and an external diameter of 125 mm. The…

Q: A cylindrical boiler with an inside diameter of 2.5 m and a wall thickness of 40 mm is made of a…

A: GIVEN DATA- Pressure P=1.5MPa Internal Dia d=2.5m = 2.5*1000=2500mm Thickness t=40mm Yield stress…

Q: Plain stresses in a plain stress are; 0,=130 MPa 02=60 MPa Magnitude of the maximum shear stress is…

A: Given that σ1=130 MPa σ2=60 MPa We know that maximum shear stress is τmax=σ1-σ22

Q: A cast ALuminum cy linder o f Purtable hydraulic a riveter is 208 mm in diameter The Pressure 16,8…

A: The above questioni is based on cylinder analysis.

Q: A thick cylinder is built up by shrinking an aluminium tube 20mm thick upon a hollow aluminium…

Q: For the closed tank as shown below, is subjected to a internal pressure of 1.5 Mpa, and tensile…

Q: A 6" diameter pulley attached to a 1" diameter shaft of 2" length is supporting a load of 2000 lb.…

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

Q: A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure.…

A: Given: Long thin cylindrical shell,Suppose internal pressure=P,daimeter of the ends=d,thickness of…

Q: The stress in a wire of diameter 2 mm if a load of 100 gm is applied to a wire.

Q: Calculate the wall thickness required for a thin-walled cylindrical pressure vessel which must…

A: Circumferential stress: A cylinder stress is a stress distribution with rotational symmetry in…

Q: For the thin-walled pressure vessel subjected to an internal pressure of 150 psi and as shown below,…

A: The stress that acts in parallel direction with the longitudinal axis is called longitudinal stress…

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

A: Given:Pressure, P=7.875 MPadiameter, d=400 mmthickness, t=20 mm

Q: Find the values and plot the distribution of stress over the cross section of the upright of the…

A: We have given the problem where b=60mm h=100mm

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

A: Diameter of the cylindrical steel pressure vessel, D=400 mm=0.4 mWall thickness of cylindrical steel…

Q: QUESTION 3: [Thin-walled Pressure Vessels] 1. A cylindrical pressure vessel is fabricated from steel…

A: Q.3)Given: Thin walled pressure vessels1)Thickness t=20 mmDiameter of pressure vessel=d=450…

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: 3. A cylindrical vessel has the following specifications: Internal diameter = 800 mm Internal length…

Q: A steel rod with a cross-sectional area of 2.5 square inches is stretched between two fixed points.…

A: Given:

Q: The cylinder for a hydraulic press has an inside diameter of 300 mm and an outside radius of 260 mm.…

A: Given data, Internal diameter of the hydraulic cylinder, Di = 300 mm Outer radius of the cylinder,…

Q: A pressure vessel, 320 mm in diameter is to be fabricated from steel plates. The vessel is to carry…

Q: Define the main difference between thick and thin cylinders and give an example for each type of…

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

Q: In the fig three rivets of 25 mm diameter joins the plates that are each 130 mm wide .The shearsress…

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

Q: A rope has a cross sectional area of 0.002m2 and is being used to lift a 5000N weight. What is the…

Q: Part 1) Find the magnitude of shear and normal stresses from the loads shown. The cross section of…

A: Solution: Given Data: P = 400 N T = 1.8 N-m d = 8 mm

Q: QUESTION 4) For the given plane state stress, if the components at the inclined surface is known and…

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: A thick-walled tube with the outer and inner diameter of 360 and 180 mm, respectively is subjected…

Q: Calculate the principle stresses and the maximum shear stress.

A: Given: σx =10 Psi T σy = 25 Psi T τ = 5 Psi

Q: Calculate the wall thickness required for a thin-walled cylindrical pressure vessel which must…

A: Given:Po=3.5 MPaPi=2 MPad=200 mmσ=60 MPa

Q: Is the stress twice as great as the longitudinal stress? How?

A: Given Data⇒ longitudinal stressHoop stressProblem definition⇒Problem says Is the stress twice as…

Q: The AB part of the rod is steel and is 100mm in diameter.The BC part of the rod is copper and its…

A: Given Data Diameter of steel rod is :ds=100 mm Diameter of copper rod is : dc=80 mm Length of steel…

Q: QUESTION 4) For the given plane state stress, if the components at the inclined surface is known and…

Q: c) A cylinder with external diameter 280mm and internal diameter 200mm is subjected to an internal…

Q: Calculate the axial stress in a tube that is stretched by a tensile axial force of 4500 N if the…

A: Write the given data. F=4500 Ndo=25 mm=0.025 mdi=20 mm=0.020 m

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

QUESTION 2

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

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

For the closed tank as shown below, is subjected to a internal pressure of 1.5 Mpa, and tensile force of 2000 kN. diameter 500mm thickness 12 mm. 72. Calculate the normal stress on 450 weld. Calculate the in-plane shear stress on 450 weld.
What wall thickness in mm is required for a 634 mm diameter cylinder under an internal pressure of 18 MPa? Use a design stress of 80 MPa?
40. A cylindrical steel pressure vessel 400 mm in diameter with a wallthickness of 20 mm, is subjected to an internal pressure of 7.875 MPa.Calculate the longitudinal stress in the steel.
. 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?
Calculate the maximum allowable pressure difference between the inside and outside of a sphere 50 mm mean diameter with a wall 0.6 mm thick if the maximum allowable stress is 150 MPa.
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.
A pipe has an outside diameter of 0.7 inches and inside diameter of 0.12 inches. A force of 144 lbs is applied at the end of a 1.1 ft lever arm, causing the pipe to twist. What is the maximum stress in the pipe in psi?
What is the stresses in the rail at 50°C , if there is an expansion allowance of 5 mm per rail .
A boiler with an outside diameter of 300 mm, length of 1000 mm and a wall thickness of 10 mm is carrying steam at 4.5 MPa. A seal is inserted between the flange at one end of the boiler and a flat plate is used to cap the end. What circumferential stress is developed in the boiler?
3. A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. Calculate the ratio of circumferential (hoop) stress to the longitudinal stress.
Calculate the diameter of a pressure vessel of thickness 0.04 m and the inside pressure is 20 mpa. Assume the permissible stress of the vessel is 100 mpa.
A compound cylinder is formed by shrinking one cylinder over another, the final dimensions being, inner diameter = 150mm, diameter at the junction = 200mm, outer diameter = 250mm. If the radial pressure at the junction due to shrinkage is 40N/mm2, calculate: (a) Initial stresses in the cross section of the tube. (b) If a fluid pressure of 80N/mm2is admitted in the compound tube calculate the final stresses. Plot the variation of hoop and radial stress across the wall thickness.