Answered: Derive the formula of the critical…

Engineering

Mechanical Engineering

Derive the formula of the critical radius for spherical wall.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.72P: 1.72 An ice chest (see sketch) is to constructed from styrofoam . If the wall of the chest is 5-cm...

See similar textbooks

Related questions

Q: The shear strain is calculated using the torque and the polar moment of inertia.

A: In the given statement it is asked wheather shear strain is calculated using torque and polar moment…

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

Q: 5. Where do the maximum BM occurs for the below diagram. 10 KN 3M

A: It is required to determine where maximum BM occurs

Q: 2Mo Мо Find the amount of depression in mm at the midpoint of the bar AB. Mo= 1kNm, L = 1m, E = 200…

A: GIVEN :- M0 = 1kNm = 1000 Nm L = 1m E = 200GPa = 200×109 N/m2…

Q: The outer diameter of the shaft is 100 mm and the diameter ratio is 1.25. Find the polar modulus of…

A: Outer diameter/ Inner diameter = 1.25.

Q: Solve for ff: a. A spherical pressure vessel (with a limited stress=103.42 mPa, diameter= 1524 mm)…

Q: A Shaft, as shown in ig lis, is Subjectes to el bending load of 3KN, pure torque Af anxial pulling…

A: Given data Axial force (p) = 15 KN Torque (T) = 1000 N-m Bending load (w) = 3KN

Q: keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578…

A: Given:Torque delivered by keyed sprocket, T=778.8 N-mouter diameter of shaft, d=54 mm or 0.054 mkey…

Q: Calculate the minimum outside diameter requirement of a spherical vessel in millimeter with an…

A: Given: Allowable stress in the vessel is 500,000 mmHg. Maximum pressure in the vessel is 500 inHg.…

Q: An axially square tied column; given Pu= 4000 kN, fy = 420 MPa and fe= 28 MPa. If it is to be…

A: Given: For an axially square tied column, Pu=4000 kN, fy=420 MPa, f'c=28 MPa, ρg=0.025.

Q: Cal culate the stress between the two rods at the weld if the weld has a radius of 0.5 inch and the…

A: Data given- For part a) Small rod Area = 1.0''× 1.5" Tensile load = 50 kips Radius (r) = 0.5 inch…

Q: Working from first principles find the interference fit per metre of diameter if the radial pressure…

Q: ) Derive the flexure formula for the straight members?

Q: A marine engine cylinder has a compression ratio (r) of 9.5, a clearance volume of 650 cm3 and a…

Q: Problem 2.2 Consider the following load raising system. a) Calculate the power of the motor if the…

A: Given figure To calculate (a)Calculate the power of the motor if the load is to be raised at a…

Q: Find the size of 14 bolts required for C.I.steam engine cylinder head. The diameter of the cylinder…

A: Given data: Number of bolts (n) = 14 Diameter of the cylinder (d) = 400 mm Steam pressure (p) = 0.12…

Q: Calculate the normal stresses (in Pa) at point Bof the bracket caused by the 23010N force. E4.png -…

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: Prove the formula for Hoop stress and longitudinal stress and also explain poisson ratio.

A: Given Data⇒ Hoop Stress Longitudinal Stress Poisson ratio

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: Design a bushed-pin type flexible coupling for connecting a motor shaft to a pump shaft for the…

Q: 3. A welded steel cylindrical drum made of a 10-mm plate has an internal diameter of 1.20 m. Compute…

A: Given:d=1.2 mP=1.5 MPaμ=0.30E=200 GPat=10 mm

Q: Prove the formula or derivation the given below Hoop stress Longitudinal stress And explain…

A: Let's assume the the length of the cylinder is L, The diameter of the cylinder is d, The thickness…

Q: As shown in the figure, the two cables are joined at point C and balanced to a load. Calculate the…

Q: To use the torsion formula to relate the torque applied to a rod of circular cross section to the…

Q: Derive the torsion formula.

A: The Answer is below.

Q: Calculate normal stress in AB and BC rods, bearing stress in pin C. (all diameter is 10 mm

Q: An engine cylinder has a compression ratio (r) of 7.5, a clearance volume of 35 cm³ and a piston…

Q: 8 The steel column of circular cross section is attached to rigid supports at A and C. Find the…

Q: has a compression ratio (r) of 7.5, a clearance volume of 35 cm3 and a piston stroke length of 325…

Q: Example 3.4. A uniform wheel of 600 mm diameter, weighing 5 kN rests against a rigid tangular block…

A: Diameter=600mm weight of wheel=5kN

Q: Rectangular cross-section 15mm *20mm and a length of 2m. The slenderness ratio of the column is…

A: Slenderness ratio is the ratio of effective length and Kmin . Kmin = Minimum radius of gyration.…

Q: Apply mechanics of solids and develop equation of stress at the fixed end of the member shown in…

A: Given data, P = Applied shear force = 5395 N A = Area of the cross-section = 1100 mm2 IZ = Moment of…

Q: The outer diameter of the shaft is 175 mm and the diameter ratio is 1.25. Find the polar modulus of…

Q: Pressure inside the cylinder is 10 bars Is this a thin walled cylinder when the thickness is 10…

A: Given data as per the question The pressure inside the tank =10 bar Thickness = 10 mm Diameter =400…

Q: Describe the design of columns for concentric loading?

A: Column is defined as a vertical structure that transfers the loads and subjected to compression…

Q: hollow pipe whose outer diameter is 400mm and thickness is 2.5 mm is subjected to the following…

A: Given:d=400mm =0.4 mt=2.5 mm =2.5*10-3 mσx=30 KPaσy=100 KPaζxy=19 KPa

Q: Find the Normal Stress at points A, B, and C

A: To Find the Normal Stress at points A, B, and C

Q: A steel shaft is transmitting 50 Hp at 1200 rpm. The nature of load and type o service of the shaft…

Q: Using Mohr's Circle, solve Review problem R9-5 in the 10th Ed. of the text. Plot your solution along…

Q: A stepped shaft of diameters 3D and D transmits 1 MW of power.The torque on the larger diameter…

Q: A pump supplies oil at 25 gpm to 1 % in diameter double -acting hydraulic cylinder. If the load is…

A: Given: The oil flow rate, Q = 25 gpm The piston diameter, D = 3/2 in = 1.5 in The load, W = 1200 lb…

Q: is the polar modulus value for a solid shaft of diameter 8 cm. Select one: -6 O a. 4.02 x 10 O b. 1…

A: We have to find polor modulus

Q: A hollow column of rectangular cross section has external dimensions of 73 mm x 36 mm, and a uniform…

Q: Problem 6: Figure (a) shows the cross section of a column that uses a structural shape known as W8 x…

A: a)Centroid y=∑ Ay∑ A =5.88×0.606+19.70.379+925.88+19.7 =99.679625.58 =3.9 in→form top

Q: An inner solid shaft (diameter of 1.5 in.) is connected, by a rigid plate, to an outer hollow shaft…

Q: he spring used in the shock absorber has a spring index of 11. Calculate the outer diameter of the…

A: Spring index C = 11 Wire diameter = 8 mm

Q: 5. Calculate the necessary draft angle for a reinforcement rib located behind a 6mm wall thickness…

A: Given Initial diameter, d = 2 mm Height, h = 15 mm Find Draft angle Rib height

Q: Which of the following is not an extensive property? A. length B. melting point C. volume D.…

A: Which of the following is not an extensive property? Answer: B. melting point

Q: The turbine motor moving at 378 rev/ min can produce 2.5 hp. The shaft diameter is 1.25 inches.…

A: Given data: The diameter of the shaft is d = 1.25 inchThe speed of the turbine rotor is N = 378…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Derive the formula of the critical radius for spherical wall.

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

Define thick and thin walled cylinder vessel. Derive an equation for tangential stress for thin walled cylinder
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?
Describe the design of columns for concentric loading?
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.
Prove the formula for Hoop stress and longitudinal stress and also explain poisson ratio.
Find the range of eccentricity values where NO tensile stresses occur (across AA)
Hi, the diameter is 10 mm in my problem, not 15 mm.
The wall thickness of a spherical thank is 8mm, calculate the diameter if allowable stress is 140MPa and internal pressure of 60MPa.
The energy required to shear a 1-in. round bar is approximately 1000 ft-lb. In use, the shearing machine is expected to make a maximum of 40 cutting strokes a minute. The frictional losses should not exceed 18 % of the motor output. The shaft carrying the flywheel is to average 150 rpm. (a) What motor horsepower is required? (b) Assuming a size of flywheel and choosing appropriate f C, find the mass and sectional dimensions of the rim of a cast-iron flywheel. The width of the rim is to equal the depth and is not to exceed 3 ½ in. It would be safe to assume that all the work of shearing is supplied by the kinetic energy given up by the flywheel.
The relationship where the stress is linear up to the proportional limit
THIN-WALLED VESSEL •Derivation of stress formula for thin-walled vessel (cylindrical and spherical)
Calculate the minimum outside diameter requirement of a spherical vessel in millimeter with an allowable stress limited to 500,000 mmHg and a maximum pressure of 500 inHg. The thickness of the material is said to be 3/4 in.