(a) Figure Q6(a) shows an example of pressure vessel with radius of r, and yield stress Oy. Suppose the vessel is subjected to uniform internal pressure p, determine the minimum thickness to sustain the pressure according to: (i) Von Mises yield criterion (ii) Tresca yield criterion

(a) Figure Q6(a) shows an example of pressure vessel with radius of r, and yield stress Oy. Suppose the vessel is subjected to uniform internal pressure p, determine the minimum thickness to sustain the pressure according to: (i) Von Mises yield criterion (ii) Tresca yield criterion

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 8.2.3P: A large spherical tank (see figure) contains gas at a pressure of 420 psi. The tank is 45 ft in...

See similar textbooks

Related questions

Q: Problem 1 (6-1 , Eringen) Prove that in a nonlinear, isotropic, elastic solid the only possible…

A: given; prove that in a nonlinear ,isotropic , elastic solid the only possible initial stress is a…

Q: Sketch Mohr's circles for Uniaxial tension Hydrostatic compression Pure shear.

Q: Figure 6(a) shows an example of pressure vessel with radius ofr, and yield stress O. Suppose the…

A: Calculated the minimum thickness to sustain the pressure vessel according to the von mises yield…

Q: A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an…

Q: In the figure, metal blocks are hammered with a hammer of 5 kg mass on the BD rigid table. The yield…

A: The yield stress of AB and CD bar is given as, The mass of the hammer is given as, The diameter of…

Q: Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the…

A: Given Data⇒ Hollow steel shaft Outside diameter of shaft(D)=130 mm=0.13 m Inside diameter of…

Q: Example 133: A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm,…

A: The pressure vessel are subjected to high internal pressure, and are designed such a way so that…

Q: = 2. The bending stresses on an element are: om = 25,00 psi or= 21,667 psi. There is a stress raiser…

A: ASME ellipse criterion:- ASME ellipse criterion is a theory of failure used to design component…

Q: (1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D…

Q: A cube of a material with a yield strength of 100x10° N/m*is subjectedtotheloads shown onthe right.…

Q: A compressed air tank has an inner diameter of 0.45 metre, and a wall thickness of 6.35 mm. It is…

Q: A steel bar 10 mm in diameter and 150 cm long is stressed by a weight of 12 kg dropping freely…

A: (Q.2) For steel bar: Diameter, d=10 mm ⇒Cross sectional area, A=π4d2=π4×102=78.54 mm2 Length, l=150…

Q: Solid steel wrench (shown in Fig. 4) has a radius of 0.4 cm. and a length of 0.2 m. What is the…

A: Given, diameter of the wrench , d=2×0.4 cm=0.8 cm=8 mm Length, L=200 mm Allowable shear stress,…

Q: Example 1 A high strength steel band saw, 20 mm wide by 0.80 mm thick, runs over pulleys 600 mm in…

A: Given data: The width of band is w=20 mm The thickness of band is t=0.8 mm The diameter of pulley is…

Q: of mean radius R, thickness t and length L, has its ends closed and is full of water. If the ends…

Q: When drilling a hole in a table leg, a furnituremaker uses a hand-operated drill (see figure) with…

A: The shear stress in the bar, when it is subjected to torsional moment can be calculated using the…

Q: Yielding starts in a material when the princip stresses are 100 MPa, 100 MPa and 200 MPa. F per the…

Q: A mild steel shaft of 40 mm diameter is subjected to a bending moment of 115 N-m and torque, T. If…

Q: Example 7.8: (Application of equation(7.42) for a thin hollow circular bar) (a) Obtain the value of…

Q: A mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If…

Q: A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force…

A: Given data: The dimensions of the rubber block are 120 mm×120 mm×120 mm. The vertical force acting…

Q: A thin-walled closed cylinder (radius r of 400 mm; wall thickness t of 20 mm), is simultaneously…

A: Solution: Given Data: r = 400 mm t = 20 mm P = 1.2 MPa T = 100 kN-m FOS = 2.8

Q: Imagine that a long steel wire hangs vertically from a high-altitude balloon.(a) What is the…

Q: A one mm diameter steel wire is wounded around a copper tube with external and internal diameters of…

A: Given: The diameter of wore, d = 1 mm The external diameter of tube, Do = 140 mm The internal…

Q: A thin metal pipe of mean radius R, thickness t and length L, has its ends closed and is full of…

A: given data,Mean radius=RThickness=tLength=L

Q: Example 1 A shaft is transmitting 100 kW at 160 rp.m. Find a suitable diameter for the shaft, if the…

A: Stress: When a component or a part is subjected to any external force, a resisting force will be…

Q: A shaft is required to transmit 1 MW power at 240 r.p.m. The shaft must not twist more than 1 degree…

A: Find the diameter of shaft and shear stress in the shaft.

Q: (a) What is spring ? Briefly define the type of spring. Also explain the formula of stress for flat…

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

Q: At a point in a steel structure (Y = 490 MPa, E = 200 GPa, v = 0.29), the principal stresses are oj…

Q: Q6: A thin steel cylinder 1 m long, of 150 mm internal diameter and plate thickness of 5 mm, is…

A: Introduction: A thin cylindrical shell is also known as a pressure vessel, and these vessels are…

Q: Consider a hollow steel shaft with a 130 mm outside diameter and a 70 mm inside diameter. What is…

Q: Figure shows an example of pressure vessel with radius of r, and yield stress ??. Suppose the vessel…

A: Calculated the minimum thickness of the pressure vessel.

Q: A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an…

Q: The axially aligned pressure vessel, shown in Fig Q2, is made from aluminium exhibiting a Young's…

A: Solution: Given Data: E=73 GPaμ=0.34Do=86 mmt=5 mmP=150 barT=4.5 kN-m

Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…

Q: A thin tube of uniform thickness 5 mm and square cross section, shown below, is subject to a torque…

Q: Find Young's Modulus, yield stress, ultimate stress, percentage elongation and percentage reduction…

A: Given:- D=25mm Gauge length=200mm Least count=0.001mm At load 30kN, extensometer reading=60 At load…

Q: A circular steel tube of length L = 1.1 m is loaded in torsion by torques T (see figure). T 12 (a)…

A: a) The given values are - L=1.1 m=1100 mm, r1 =51mm, θ=0.5°=0.5×π180radThe shear strain is given by…

Q: = 0.3.

A: Data we have width b = 3m . thickness d = 5mm 6 y =22OMPa . E=200GPa. v = 0.3 ⇒ Maximum…

Q: Steel strip has to be formed as shown in Figure Q3, with a bend of inside radius of 400 mm and bend…

A: Given: Inside Radius of the bend is 400 mm. Bend angle is 30 deg. Calculation: (i) When a strip is…

Q: A bronze sleeve is slipped over a steel bolt and held in place by a nut that is turned to produce an…

Q: We have a grounded 2 cm in diameter steel shaft which is 10 cm in length connected to a rigid…

A: given; Tmean=100Nm=100*103N-mmMmean=30Nm=30*103N-mmSy=800MPaSut=1000MPafactor of safety from Goodman…

Question

100%

subject (solid mech 2)

pls show me full steps with clear handwriting

pls answer in 20 mins sir

(a)
Figure Q6(a) shows an example of pressure vessel with radius of r, and yield stress
Oy. Suppose the vessel is subjected to uniform internal pressure p, determine the
minimum thickness to sustain the pressure according to:
(i)
Von Mises yield criterion
(ii)
Tresca yield criterion

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

Elastic Constants and Their Relationship

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

(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
Figure shows an example of pressure vessel with radius of r, and yield stress ??. Suppose the vessel is subjected to uniform internal pressure p, determine the minimum thickness to sustain the pressure according to: (i) Von Mises yield criterion(ii) Tresca yield criterion
A mild steel shaft of 40 mm diameter is subjected to a bending moment of 115 N-m and torque, T. If the yield point of the steel in tension is 300 MPa, find the maximum value of torque T without causing yielding of the shaft according to von-Mises and Tresca failure theories.
For a given material, Young’s modulus is 100GPa and shear modulus is 40GPa. Find the bulk modulus and lateral contraction of a round bar of 40mm diameter and 2.5 m long when stretched 2.5 mm.
Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the maximum torque that this shaft can transmit if the shear yield stress is 1.4 x 108Pa and the behavior is elastic, perfectly plastic?
A cylindrical steel shaft is required to transmit a bending moment of 1000 Nm and a torque of 2200 Nm with a safety factor against yielding of 3. If the steel has a yield stress of 250 MPa, find the minimum permissible diameter for the shaft. Use von Mises’ theory of yielding.
A mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If the yield point of the steel in tension is 200 MPa, find the maximum value of this torque without causing yielding of the shaft according to The maximum principal stress; The maximum shear stress; and The maximum distortion strain energy theory of yielding
Steel railroad reels 15 m long are laid with at an initial temperature Ti = 46 °C. Assume α = 11.7 μm/(m·°C) and E = 200 GPa. What stress would be induced in the rails in MPa at a final temperature of Tf = 107 °C, if there were no initial clearance?
A thick-wall underwater pipe is placed at 20m below sea level. The pipe is carryingcompressed natural gas with pressure of 50 MPa. The pipe has 115mm outer diameter andmade of 316 stainless steel with yield strength of 205 MPa. The density of sea water could betaken as 1029 kg/m3. Find out:a) What is the resultant outer pressure acting on the underwater pipe? b) What is the minimum inner diameter to ensure the pipe does not yield?c) Sketch the variation of hoop and radial stress across the pipe wall, completed with stresslabelling. d) What is the resultant longitudinal stress of the pipe?
A mild steel shaft of 60 mm diameter is subjected to a bending moment of 2200 Nm and a torque T. If the yield point of the steel in tension is 200 MPa, find the maximum value of this torque without causing yielding of the shaft according to:1. The maximum principal stress theory;2. The maximum shear stress theory; and3. The maximum distortion strain energy theory of yielding
Imagine that a long steel wire hangs vertically from a high-altitude balloon.(a) What is the greatest length (feet) it can have without yielding if the steel yields at 44) ksi?(b) If the in wire hangs from a ship at sea, what is the greatest length? (Obtain the weight densities of steel and seawater from Table I-I. Appendix I.)
A rubber block with dimensions 120x120x120 mm is a rigid mold It is compressed with a vertical force of F = 120 kN inside the cavity. In the rubber block, Can you find the stress in the horizontal direction (in the x direction)? (Note: The mold cavity is in the shape of a prismatic box. Vertical Force F is applied in the y direction. x and z directions are closed) Rubber block, (Elasticity modulus E = 820 MPa , Poisson ratio v=0,4)