(a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 300 MPa and desired factor of safety is 1.5?

(a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 300 MPa and desired factor of safety is 1.5?

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 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...

See similar textbooks

Related questions

Q: -20 mm diameter bolts fasten two plates being 25 mm thick and 130 mm wide. If the applied tensile lo...

Q: Water steam turbine generate 4 MWel power. Efficiency of turbine is 20%. How much wood chips ( by ma...

A: Given Data The power generated by the turbine is: PT=4 MW The efficiency of the turbine is:ηT=20% T...

Q: Water flows through a tube of diameter 30 mm at an average velocity of 1.5 m/s. The properties of wa...

Q: The magnitude of the resultant force is about 8.675 N O 5.567 N O 6.765 N 4.567 N

Q: Q3: Find the centroid of the next shaded area. 6m 5,

Q: A flagpole 16 m high has the shape of a cylinder 100 mm in diameter. The air temperature is 30°C and...

A: Please first draw the free body diagram and proceed further

Q: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure 1...

Q: Draw the Free Body Diagram only of next fig.

Q: The tension in AB is about Weight 200 N 108.70 N O 110.40 N 120.60 N 95.50 N

A: GIVEN DATA- A CABLE SYSTEM GIVEN ATTACHED TO THE 200N LOAD WE HAVE TO FIND TENSION IN CABLE AB

Q: . Air enters a counter flow HE at 70°C and leaves at 40°C. Water enters at 30°C and leaves at 50°C, ...

A: Given, Inlet temperature of hot fluid = Th1 = 70 oC Outlet temperature of hot fluid = Th2 = 40 oC In...

Q: B: Find the total moment of force with respect to point (A), for the two forces in next fig. 8m 3m 5...

A: It is required to determine the moment of force about point A

Q: A solid constant-diameter circular shaft is subjected to the torques of TA = 480 lb-ft, TB = 1060 lb...

A: Given Data: Allowable shear stress, t=5800 psi

Q: The absolute pressure in the tank is found to be 1.206 bar. In the measurement of this pressure a U-...

A: Standard atmospheric pressure of 1.02325 bar corresponds to 76 cm Hg. Atmospheric pressure of 72 cm ...

Q: The uniform box shown in next figure, has a mass of 40 Kg. If the two forces T = 60 N and F =30 N ar...

A: For solution refer below images.

Q: A 3.5-hp pump delivers 1140 lbf of ethylene glycol at 20°C in 12 seconds, against a head of 17 ft. C...

A: Calculate the efficiency of the pump in %.

Q: Draw the Free Body Diagram only of next fig.

Q: A circular plate with simply supported edges subjected to a uniform pressure of P=10 KPa, as shown b...

A: Given dataPressure = P = 10 kPaPlate thickness = h = 19mmRadius of plate = 1.340 mmYoung's Modulus =...

Q: Explain in detail the grinding operations?

Q: rpm. contact between the belt and pulley is 144°, the coefficient of friction between belt and pulle...

Q: What are centrifugal pumps' standard pump input power (kW) and water power (kW)?

A: The theoretical minimum power needed to be supplied to the water to increase the pressure of water i...

Q: gos turbre Porking belonce Duning the alod df te compraion, the Pemperate of ie at 340k d pesve d 50...

A: Given: Ideal brayton cycle means isentropic compression and expansion should be. But there may be so...

Q: The power output of a steam turbine is 5 MW. The inlet conditions are 2 MPa of pressure, 400 degrees...

Q: Q4 Find the moment about point O in figure 2. 25 N 45 2.25 m 40 N 20 N 2.75 m 2 m 30 15 3 m 30 20N F...

A: It is required to determine the moment about point O

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made ...

A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in

Q: 8. A belt conveyor is used to deliver a fluid to a reservoir, see the figure. The depth of the fluid...

Q: Air is compressed isentropically such that its pressure is increased by 50%. The initial temperature...

A: Given Data P2=1.5P1 T1=70°C

Q: A solid circular bronze [G = 6,500 ksi] shaft, 4.6 ft long and 1.575 in. in diameter, carries a torq...

Q: 22- In a four-stroke cycle petrol engine, during suction stroke: a) only air is sucked in b) only pe...

Q: forecast sales for may 2022 would be?

A: Given; For april 2021, for a product; Forecast sales, Fs=25 Actual sales, As=30If the exponental s...

Q: The v-t graph for the motion of a car as it moves along a straight road is shown. Draw the s-t graph...

Q: The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 10 kN, determi...

A: Given: P = 8 kN the normal stress and shear stress are calculated for mentioned plane using formula.

Q: A belt driven compressor is used in a refrigeration system that will cool 10 li/sec of water from 13...

A: Please apply the concept of refrigerator to solve this problem

Q: 1)What is the magnitude of the acceleration of the block as it me upward? 2) How far up the slope do...

A: Given: Mass = 0.5 angle= 25deg initial velocity= 4.5m/s Coefficient of kinetic and static friction= ...

Q: The uniform box shown in next figure, has a mass of 40 Kg. If the two forces T= 60 N and F=30 N are ...

Q: A Use the analytical method to find the resultant and its direction of the forces shown in figure 1....

Q: The couple moment acting on the beam is 400 N 400 N 200 N 0.2 m 200 N -3 m m- 300 N 300 N

A: Given data : The 1st couple force =300 N The 2nd couple force=400 N The 3 rd couple force=200 N

Q: kN, determine the magnitudes of the average normal stress in the shank, the average shear stress alo...

Q: The metal stud punch shown in the figure below is designed to create circular shaped perforations on...

A: according to the given details

Q: Q4 Find the moment about point O in figure 2. 25 N 45 aS 0.5 2.25 m

A: Given

Q: The steel members are pinned at points A, B, and C and are joined by joint D as shown. If the ultima...

Q: Q4: Find the centroid of the next shaded area. 1m 1m 1 Y 1.5m 1m re1

Q: Through an isentropic process, a piston compresses 2 kg of an ideal gas at 150 kPa and 35 ℃ in a cyl...

Q: For a product, the forecast and actual sales for april 2021 were 25 and 30 respectiveley. If the exp...

A: Given data Forecase for april 2021 = Ft-1 = 25Actual sales for april 2021 = Dt-1 = 20Exponential smo...

Q: The couple moment acting on the beam is 400 N 400 N 200 N 0.2 m 200 N -3 m -2 m 300 N 300 N O 640 Nm

Q: If a certain gasoline weighs 20 lb/ft³, what are the values of its density, specific volume, and spe...

Q: A 2600-lb tractor is used to lift 900 lb of gravel. Determine the reaction at each of the two front ...

Q: Ql: determine the resultant of the force system in next figure. And locate the resultant with respec...

Q: 1. Collar A moves in a constant velocity of 900 mm/s to the right. At the instant when e = 30°, dete...

Q: Solve the given linear system by any method. 211 - I, + 3I3 + 4I, = 9 – 2I3 + 7I4 = 11 311 - 312 + I...

Q: QI: The cable AB supports three vertical loads as shown in next figure. Compute the resultant of the...

A: Answer: (a) The resultant of three forces: R = 90 N ......(acting downwards) (b) It's location with ...

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

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.
(a) Calculate the tangential and longitudinal stresses in the steel.
(b) To what value may the internal pressure be increased if the stress in the steel is
limited to 300 MPa and desired factor of safety is 1.5?

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

given data

VIEW

Detailed solution

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

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
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.
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain gage at point A records the longitudinal strain in the tank and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 98 MPa, and a factor of safety of 2,8 is required. (a) At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are modulus of elasticity E = 210 GPa and Poisson's ratio v = 0.30.) (b) What is the associated strain in the radial direction
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
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 prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
- A specimen used in a coupon test has norm al stress ??. = 15 MPa (see figure). Using Mohr’s circle, find the state of stress on the element oriented at angle ? = 20° and show the full stress state on a sketch of a properly oriented element.
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
A prismatic bar with a length L = 1 m and cross-sectional area A = 1200 mm2 is supported at the ends. The bar is then subjected to a temperature increase ?T = 25°C. Calculate the complete stale of stress acting on an inclined section .rs that is cut through the bar at an angle ?? = 45*. Use E = 200 GPa and the coefficient of thermal expansion a = 12×10-6/?.