Answered: Find factor of safety if the Ultimate…

Find factor of safety if the Ultimate Stress of a ductile material is 250.94 MPa. If the material is subjected to a loading condition that generates the working stress of 151.27 MPa

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 8.5.11P: The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in...

See similar textbooks

Related questions

Q: A certain steel shafting material has an ultimate strength of 93 ksi, a notch radius of 0.25 inch,…

A: Given that, Sut=93 ksi,Notch radius=0.25 in,kf=2.5,cycles=166,077 According to the standard graph,…

Q: Certain type of steel whose Proportional limit the above theðry sing n The principal stresses were…

Q: Q2// Determine the diameter of a circular rod made of ductile material with a fatigue strength…

A: Given, Fatigue strength, se'=270 MPa=270 N/mm2 Tensile yield strength, syt=370 MPa=370 N/mm2 The…

Q: Find the diameter of a solid steel shaft to transmit 30 kW at 400 r.p.m. The ultimate shear stress…

Q: Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa…

A: Data given- for 37 ph2 steelδ4t = 600 MPa P=± 200 KNδyield = 440…

Q: M20 × C4 bolt of mild steel is having yield stress of 320 MPa and factor of safety 3. The safe…

A: Given Data⇒ Bolt dimensions :(M20×C4) Diameter of bolt will be (d)=20 mm=0.020 m Yield stress σy=320…

Q: Question 2)) In this figure .A 50mm diameter agitator propeller shaft of is utilized to drive a…

A: Given data: The diameter of the shaft is d = 50 mm. The compressive load on the shaft is P = 125…

Q: A 75mm shaft is subjected to 5KN-m torque. Find the stress developed in MPa.

A: Dear student, there are multiple question and we are suppose to solve only one question. Also in…

Q: (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the…

Q: The state of stress at a point is Ox=-10 kpsi, oy=10 kpsi, az=-20 kpsi, Txv=D5 kpsi, Tyz= 2 kpsi,…

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: The plate shown is made of an AISI 1050 CD steel and is subjected to M, = ±12,000 Ib.in. If a factor…

A: From the given figure, z-axis is the neutral axis. Calculate the maximum value of the distance from…

Q: Find the diameter of a solid steel shaft to transmit 43kW at 5.25 rps. The ultimate shear stress for…

A: The shaft is a device which is used to transmit power from one place to another. The torque…

Q: If the ultimate stress for a material is 250 MPa. Then the allowed working stress is _______MPa, if…

A: Given, The ultimate stress of material, σu=250 MPa The factor of safety, FOS=2

Q: A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely…

A: Data given - AISI 1080 hot rolled steel Length = 0.6 m Load = 2KN Design factor = 1.5 N= 104

Q: hena) A hot-rolled steel shaft with a shoulder fillet is subjected to an axial load P which varies…

A: When a load or force is acting on an object in a way that it is parallel and on its axis then it is…

Q: A small element at the critical section of a component is in bi-axial state of stress with two…

A: Given, Maximum Principal Stress = σ1 = 360 MPa Minimum Principal Stress = σ2 = 140 MPa

Q: cylindrical pressure vessel has inside diameter d_{o} = 500 mm and inside diameter di=490 mm.if it i…

A: Given Data Outside diameter of vessel is: do=500 mm Inside diameter iof vessel is:di=490 mm Factor…

Q: A rod with a cross-sectional area of A and loaded in tension with an axial force of P = 2000 lbf…

A: Given data, Factor of safety n= 3 P= 2000 lbf = 2kips Material strength, σy= 24 kpsi If area is A…

Q: Q.2. A 20 kW, 980 r.p.m. motor has a mild steel shaft of 60 mm diameter and the extension being 75…

A: A key is a mild steel component inserted between the shaft and the hub to restrict relative motion…

Q: The cylinder of a four stroke diesel engine has the followin, specifications: Cylinder bore :150 mm…

A: Cylinder bore D'=150 mm Maximum pressure =3.5MPa=3.5N/mm2 Cylinder Material = Grey Cast Iron FG200…

Q: Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using…

A: Given dataσA=28kpsiσB=15.5 kpsi``

Q: Calculate the maximum stress in the steel ring if a copper ring with a thread diameter of 2000 mm…

A: Given,

Q: 8. Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600…

A: Write the given values along with the suitable variables.

Q: A thin gas cylinder with an internal radius of 100 The maximum permissible working stress is mm is…

A: Given, Radius of cylinder = r = 100 mm Diameter of cylinder = d = 2r = 200 mm Internal pressure in…

Q: Q.1. A M.S. shaft having yield stress as 232 MPa is subjected to the following stresses. o, = 120…

Q: for a machine part, the following stresses are determined at the most critical point: 0x = 100,0y =…

Q: Find the smallest and safest d of the link as shown on the figure, if the working stress is equal to…

Q: Q.1 The ultimate tensile strength of the material is 1000 MPa and yield strength of 910 MPa. A rod…

Q: QUZ/ Create an estimated (S-N) diagram and define its equation for an axial fully reversed loaded…

Q: Q4/ Answer one A) A cylindrical rod of 16 mm diameter is made of plain carbon steel. It is subjected…

Q: Q2 Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600…

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

Q: A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R1and R2. The…

Q: 1. An engine cylinder is 300 mm in diameter and the steam pressure is 0.7 N/mm2. If the cylinder…

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

A: Given steam pressure=0.12N/mm2diameter of the cylinder =400 mmσ=35MPa

Q: In the state of loading as made of brittle material tensile and compression fracture values of the…

A: Given data In the state of loading as made of brittle material tensile and compression fracture…

Q: Find the size of 14 bolts required for a CI engine cylinder head. The diameter of the cylinder is…

A: Given data as per the question Number of bolts =14 Diameter of cylinder =400 mm steam pressure =0.12…

Q: A thin-walled cylindrical pressure vessel made from a grade of aluminium has an internal diameter d…

Q: Calculate the design stress when a material has an ultimate strength of 120 psi with a factor of…

A: Answer: The design stress is 165.5 kPa.

Q: he principal stresses at a point in a critical section of a machine component are sigma_{1} = 60MPa,…

A: Given:σ1=60 MPaσ2=5 MPaσ3=-40 MPaσy=200 MPa

Q: 8- A steel bar of diameter 1 cm and length of 10 cm is made of steel with E= 200 Gpa and yield…

A: To find: The maximum tensile force. Given: The diameter of steel bar is d=1 cm. The length of steel…

Q: A rotary shaft carries distributed load of 250 w/m with a long 3m. The shaft transmits 35 KW at 290…

A: Given: The value of the uniformly distributed load is, w=250 N/m. The length of the shaft is, L=3…

Q: An engine cylinder is 300 mm in diameter and the steam pressure is 0.7 N/mm2. If the cylinder head…

Q: An agitator propeller shaft of 50mm diameter is utilized to drive a rotor blade in a mixer. As a…

A: Answer: (a) The principle stresses are 71.004 MPa and -134.666 MPa. (b) The propeller shaft is safe…

Q: A bracket is under a loading condition is shown below. It's made from a steel with the yield…

A: Due to the load, there will be a compressive load and moment of force at the neutral axis. The…

Q: The one end of a hollow square bar whose side is 10.50 in with 1.50 in thickness is under a tensile…

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

Find factor of safety if the Ultimate Stress of a ductile material is 250.94 MPa. If the material is subjected to a loading condition that generates the working stress of 151.27 MPa

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 Given Data

VIEW

Step 2 Calculation

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

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?
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
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.
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~ .
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two 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 point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
A machine component made of a ductile material is subjected to a variable loading with = 50 MPa. If the Omin = - 50 MPa and aa = max corrected endurance limit and the yield strength for the material are o = 100 MPa and safety = 300 MPa, respectively, the factor of is
See the set of bars for made of a material that has a yield strength of 350 MPa, determine the minimum h1 and h2 dimensions required. Apply a safety factor F.S. = 1.5 without flow. Each bar is 12 mm thick
In the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 400 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
2. A pressure of 40 MPa shall be contained in a pressure vessel with inner diameter 0.30 m. Find the number of M48-5 bolts to be used. Material used to produce the bolts is AISI 1044 steel with maximum tensile stress, o. = 646 MPa. Use a factor of safety =2. M48-5- 40 MPa 1.0 m->