Answered: THIN-WALLED VESSEL •Derivation of…

Engineering

Mechanical Engineering

THIN-WALLED VESSEL •Derivation of stress formula for thin-walled vessel (cylindrical and spherical)

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 8.3.9P: A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d...

See similar textbooks

Related questions

Q: 1. Cylindrical interface: Consider an interface between two immiscible fluids in a cylindrical…

A: In this case, we have a cylindrical interface between two immiscible fluids. We know that curvature…

Q: b) A 3-m-high, 5-m-wide rectangular gate in Figure 2 is hinged at the top edge at A and is…

Q: A motorcycle travels east 2 km for 5 minutes, then north 3 km for 8 minutes, and then west [5] km…

Q: Saturated liquid water, initially at 25°C contained inside a tank, is then delivered by a pump at 5…

Q: EES Metal plates (k = 180 W/m-K, p= 2800 kg/m², |and c, = 880 J/kg-K) with a length of 1 m and a…

Q: ensity is 1000 kg/m³), determin

Q: Rainwater flows through the galvanized iron downspout shown in the figure below at a rate of 0.010…

A: Given data: Q=0.01 m3/sh=4+0.07=4.07 m Need to determine the size (diameter) of the downspout cross…

Q: A single stage gearbox as acceleration of 1.5 m/s?. The rope is attached to a 1.2 m diameter drum.…

A: ∑F=maT-(03)×200×9.81=200×1.5T=888.6N →Tension in the rope

Q: An aircraft flies a path described by the equation, r^2 = (10 cos 2θ) m^2 at a certain portion of…

A: Given path r2 = 10 cos 2θθ = 0.4 t2 rad

Q: Figure below is a crank and slider mechanism. Link AB rotates on a counterclockwise manner with…

Q: The velocity of an automobile starting from rest is given by ds 90t dt t+ 10 Where distance is in…

Q: A model for forced spring mass system is given by: ту" + су'+ ky%3Dr(t) (i) Find the steady state…

A: Given: Equation of spring mass system: →my''+cy'+ky=r(t) Because m=1, c=4, k=4 and r(t)=2cost Hence…

Q: QUESTION 2 Water flows through the horizontal branching pipe shown in Figure 3. Water discharges…

Q: Q.2) Find the tension in each wire A, B and C supported a plate weighs 56 N as shown in figure. 10…

Q: DRAW ISOMETRic VIEW

A: According to the details provided in the question, we need to DRAW an ISOMETRIC VIEW.

Q: total hip replacement surgery, the head and neck of the femur are replaced with artificial…

A: For post surgery moment arm = 40mmmket OA is Perpandicular to BCEquation of…

Q: The 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m,…

Q: Q3 (a) What is the definition of transfer function? (b) Describe the definition of open loop and…

Q: Part A Consider the beam in (Figure 1) Suppose that a = 200 mm. 6 = 220 mm. e= 60 mm Determine the…

Q: k B3 B4 M1 M2 f(1) B B2

Q: • Part A Consider the beam in (Figure 1). Suppose that a = 200 mm b = 220 mm C= 60 mm Determine the…

A: Given:a=200 mmb=220 mmc=60 mm

Q: 33 A device used to measure the heat transferred in chemical reactions and physical changes is…

A: Concept: 1) Barometer is used to measure pressure. 2) Calorimeter is used to measure heat. 3)…

Q: 0,5- Water flows from a tank of large cross-sectional area through a pipe as shown. The…

Q: Given problem: a.) Calculate the thermal efficiency of an air-standard Diesel cycle operating with…

Q: 4. If 0.03 kg of air undergoes the cycle a - b → c (shown in the figure) in a piston-cylinder…

Q: A domestic water heater holds 189 L of water at 60°C, 1 atm. Determine the exergy of the hot water,…

Q: (b) A cylindrical rod made from an unknown metal is 350mm long and has a diameter of 10mm. The rod…

A: Soln :- it has given - Length of the rod (l) = 350 Diameter (d) = 10 mm ==> cross section area A=…

Q: 2. Determine the reaction at roller A and Hinge B. 300 lb

A: According to the details provided in the question, we need to calculate reactions at point A and B

Q: Q2 (a) A motorcycle travels east 2 km for 5 minutes, then north 3 km for 8 minutes, and then west 6…

Q: A thermocouple shielded by aluminum foil of emissivity 0.15 is used to measure the temperature of…

A: Given data: ε1=0.7ε2=0.15T1=530 KT2=380 Kh=120 W/m2.K Need to determine the actual temperature of…

Q: 4. If 0.03 kg of air undergoes the cycle a - b → c (shown in the figure) in a piston-cylinder…

Q: 5.8 Calculate the drag coefficient and drag force on a cylindrical shape flag post of the ship…

Q: For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m…

A: Given; mass per unit area = 22 kg/m2 moment of inertia of segments 1 and 2 m1=π×0.332×22=2.4 π…

Q: When is weak form called variational form state the contition

A: The standard differential equation is in strong form. The differential equation can also be…

Q: ulate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation which…

Q: .. A particle travels along a straight line with a velocity (15t – 9t2) m/s , where t is in seconds.…

Q: An automobile engine develops 25 kW at 1,000 rpm. The clutch used to transmit this power in a…

Q: Question 2 For a motorbike absorber system, a helical compression spring with squared and grounds…

A: Helical spring deals with the standard of Hooke's Law. Hooke's Law expresses that inside the…

Q: Presents the diagram of the problem, necessary formulas, clearance and numerical solution: The…

A: Given: m = 0.525 kg delta T = 10°C Q = 1.23 kJ

Q: It is well known that truck, cars, and most type of vehicle engir orm at their best when the engine…

A: Exhaust gas recirculation (EGR) is an emission control technology allowing significant NOx emission…

Q: (b) An electric motor having an unbalance, is mounted on an isolator. By varying the speed of the…

Q: Steam is used a Rankine power plant, where the turbine operates between 3,300 kPa and 50 kPa. The…

A: Given: The turbine inlet temperature, T1 = 500°C The turbine inlet pressure, P1 = 3300 kPa The…

Q: Learning Goal: To set up and evaluate the equations of motion in a normal-tangential coordinate…

Q: 1. Structure analysis of the window opening mechanism of my office in the pic: a.Number of moving…

Q: The characteristics of a particular pump are shown in the image below. Calculate the head and…

A: UNIT QUANTITY: Unit quantity are the parameter of turbine which is defined when turbine operate…

Q: A solid round aluminum shaft has a maximum allowable shear stress of 80 MPa. The shaft is 10 cm in…

A: Given Diameter, d = 10 cm Length, L = 1 m G = 28 MPa Shear stress = 80 MPa…

Q: slider mechanism. Link AB rotates on a counterclockwise manner with angular velocity of 6 rad/s.…

Q: the vertical reaction force acting under a runner's foot is 2000 N, while the frictional force is…

Q: The ball B has a weight of 5 lb and is originally rotating in a circle. As shown, the cord AB has a…

Q: 3. A beam is loaded as shown. El is constant. The vertical reactions at B and C are equal to 80kN.…

A: given; at point A force(F1)=40KN at point D force(F2)=40KN weight…

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

THIN-WALLED VESSEL •Derivation of stress formula for thin-walled vessel (cylindrical and spherical)

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

A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
THIN-WALLED VESSELa. What is a thin-walled vesselb. Derivation of stress formula for thin-walled vessel (cylindrical and spherical)c. Step by step solution of 2 sample problems each for cylindrical and spherical vessel
1. A thin-walled cylinder with a diameter of 20 cm and a wall thickness of 2 mm is filled with gas at a pressure of 2 MPa. Calculate the longitudinal stress, and circumferential stress in the cylinder wall.
Consisting of chrome-nickel and bronze,the largest horizontal P force it can carry, and chromium-nickelCalculate the length change that will occur in the cable.Cross Section Areas: A chrome-nickel = 3 cm2A bronze = 6 cm2Elasticity modules: E chrome-nickel = 215 Gpa, E bronze = 90 GpaSafety Stresses: (σem) bronze = 100 Mpa, (σem) chromium-nickel = 600 Mpa
A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is subjected to an internal pressure of 6.4 MN/m2. Calculate the tangential and stress in the steel. A.32 MPa B. 48 MPa C. 64 MPa D. None of these
Calcuate Shear and Bending From Point A to Point B and Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in
mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.
Calculate the resulting stress in an aluminum wire, 4-m long and 2.6 mm in diameter, if a 12.5 -kg fixture is hung from the wire? Young's modulus for aluminum is 7.0 × 10^10 N/m^2. Express the answer in Pa and as a whole number.
Define the term parabolic shear-stress distribution?
Calcuate Torsion and Bending From Point A to Point B and Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 in
Two steel wires support a moveable overheadcamera weighing W = 28 lb (see fgure part a) usedfor close-up viewing of field action at sporting events.At some instant, wire 1 is at an angle α = 22° to thehorizontal and wire 2 is at angle β = 40°. Wires 1and 2 have diameters of 30 and 35 mils, respectively.(Wire diameters are often expressed in mils; one milequals 0.001 in.)(a) Determine the tensile stresses σ1 and σ2 in thetwo wires.(b) If the stresses in wires 1 and 2 must be the same,what is the required diameter of wire 1? (c) To stabilize the camera for windy outdoor conditions,a third wire is added (see figure part b).Assume the three wires meet at a common pointcoordinates (0, 0, 0) above the camera at theinstant shown in figure part b. Wire 1 is attachedto a support at coordinates (75 ft, 48 ft, 70 ft).Wire 2 is supported at (270 ft, 55 ft, 80 ft).Wire 3 is supported at (210 ft, 285 ft, 75 ft).Assume that all three wires have a diameter of30 mils. Find the tensile stresses in all…
Explain the method of representing the combination of normal and shear stresses acting on any plane through an incremental element on shear stress–normal stress coordinates.