If failure normal stresses are 280MPA, 180MPA and 20OMPA for steel, aluminum and bronze respectively, calculate the highest P for safe usage (Use 2 as Factor of Safety) Hint: Draw FN diagram by sectioning Aluminum A = 400 mm Bronze Steel A = 200 mm? A 500 mm2 2P 4P 2.5 m 2.0 m 1.5 m

If failure normal stresses are 280MPA, 180MPA and 20OMPA for steel, aluminum and bronze respectively, calculate the highest P for safe usage (Use 2 as Factor of Safety) Hint: Draw FN diagram by sectioning Aluminum A = 400 mm Bronze Steel A = 200 mm? A 500 mm2 2P 4P 2.5 m 2.0 m 1.5 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.5P: An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the...

See similar textbooks

Related questions

Q: -Define the maximum shear stress theory and sketch its failure envelope. -Define the maximum shear…

Q: iven a 1.3meter Wide Flange steel compression member with A=4,118mm2, Ix=87,958,354mm4 and…

Q: Q1) A steel bolt, 2.5 cm in diameter, carries a tensile load of 40 kN. Estimate the average tensile…

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: Use the von Mises failure criterion to solve for the minimum required yield stress if a factor of…

Q: A gap of 0.02 in. exists between the composite rod and the wall when the temperature is 75°F. NOTE:…

A: Given data: ◆ The properties of an aluminum: Thermal Expansion coefficient: αAl = 12.9 × 10-6 /°F…

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

Q: Required information The part shown is loaded at point C with 290 N in the positive x direction and…

A: Given: The load at C, P = 290 N The load at E, Q = 200 N The diameter of the pipe, d = 12 mm

Q: Bar of steel, (yield strenght Sy = 559 MPa) is subjected to the following stresses; ơX = 176 MPa ,…

Q: Estimate: 1- The normal stress in the bar. 2- The change in the length, if its original length…

Q: beam b= 0.2m %3D

A: Given

Q: The figure below shows the shaft of an overhang crank subjected to a force P of 3.5kN. The shaft is…

A: Given: The load acting, P = 3.5 kN The factor of safety, n = 2

Q: Question 1. P T. The figure (not drawn to scale) shows a cylindrical column submitted to a combined…

A: as per guidelines i have to solve only first part of your question

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: 2. Using maximum shear stress theory (MSS) the factor of safety for ductile material with Sy=220…

Q: What is the stresses in the rail at 50°C , if there is an expansion allowance of 5 mm per rail .

A: Given data: The temperature of the rail is Tf = 50oC. The expansion allowance is l = 5 mm.

Q: 13.9 (8) A thick cylinder has an internal diameter of 75 mm and an external diameter of 125 mm. The…

Q: A cylindrical 1045 steel bar is subjected to repeated compression-tension stress cycling along its…

Q: Problem 1 (Section A: Answer all): A bar is subjected to alternating shear stress of 45 kpsi and…

A: Given:σw=90 kpsiσy=120 kpsi

Q: Q.2. A bolt is subjected to a tensile load of 18 kN and a shear load of 12 kN. The materia has an…

A: Given data: Tensile load, FT = 18 kN. Shear load, Fs = 112 kN. Yield stress, σys = 328.6 MPa. The…

Q: An ASTM cast iron, grade 30, has ultimate strength at tension Sut = 406 MPa, and at compression Suc…

Q: This problem illustrates that the factor of safety for a machine element depends on the particular…

A: Given DataP=4×103N {Axial Load}Sy=280MPad=15mmT=25N-mF=0.55kN

Q: See the set of bars for made of a material that has a yield strength of 350 MPa, determine the…

Q: A closed cylindrical vessel contains a fluid pressure of P (Mpa). The cylinder has an inside…

Q: Bar of steel, (yield strenght Sy = 484 MPa) is subjected to the following stresses; σx = 176 MPa ,…

Q: 7 Principal stresses of a point in a critical section of a machine component are: ₁= 80 MPa 0₂= 5…

Q: Problem 1·16 At a point in a structural member subjected to plane stress, the state of stress is :…

A: At a location in a structural part that has been exposed to plane stress, we know.If the yield…

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

Q: An ASTM cast iron, grade 30, has ultimate strength at tension Sut = 345 MPa, and at compression Suc…

A: The ultimate tensile strength (UTS) of a material is the highest stress it can withstand when…

Q: Taking the safety factor as 2 for the loading condition shown in the figure, we can calculate the…

A: Given: d=100mm Syt = 250 MN / m2 Sys = 140 MN / m2 E = 200 GPa μ=0.3 N = 2

Q: Determine the maximum stress produced in a rectangular plate 50 mm wide, 8 mm thick with a central…

A: Given that, Axial tension, P=1 kN,Width of rectangular plate, b=50 mm,Thickness of plate, h=8…

Q: The figure shows an anvil for an impact hammer held in a fixture by a circular pin. If the force is…

Q: shows a round bar subjected to a bending load F = 0.80 kN, and axial tension P = 7.2 kN, and a…

Q: The state of stress at a point in a steel bar is represented in the stress element seen below. The…

A: Given- σy=260 MPaFOS=2

Q: A gap of 0.02 in. exists between the composite rod and the wall when the temperature is 75°F. NOTE:…

A: GIVEN DATA NORMAL STRESS IN ALUMINIUM ROD -15psi WE HAVE TO FIND THE TEMPERATURE AT WHICH THESE…

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

Q: Find factor of safety if the Ultimate Stress of a ductile material is 250.94 MPa. If the material is…

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: A mild steel cover plate is to be designed for an inspection hole in the shell of a pressure…

A: Given Hole diameter = 120 mm Internal pressure = 6 N/mm2 Cover plate tensile stress = 60 MPa Bolt…

Q: Fill in the blanks: Find the size of wire in mm if the maximum design stress is 425 000 KPa. A mass…

A: Answer: The size of the wire (i.e. diameter of wire used for helical spring) is 7.74 mm.

Q: xy = 210 MPa Using the Maximum Shear

A: Given Data⇒ Steel bar σx= 194 MPa σy= 100 MPaζxy= 210 MPa Maximum Shear Stress Theory

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: For a point on a steel specimen, the principal stresses o of 230 MPa and o2 of 15 MPa are given.…

Q: The structural connection shown in Fig. 2 is subjected to an eccentric force P of 15 kN with an…

A: given; P=15KNL=500mma=150mmb=100mmSyt=400N/mm2factor of safety (FOS)=2size of bolt (d)=?

Q: An AISI 1035 CD steel tube has an OD = 45 mm and a wall thickness of 5 mm. What maximum external…

A: Given data: OD=45 mmt=5 mm Need to determine the maximum external pressure.

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

If failure normal stresses are 280MPA, 180MPA and 200MPA for steel, aluminum and
bronze respectively, calculate the highest P for safe usage (Use 2 as Factor of Safety)
Hint: Draw FN diagram by sectioning
Aluminum
Bronze
A = 400 mm?
A = 200 mm
Steel
A 500 mm?
2P
4P
2.5 m
2.0 m
1.5 m

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 1 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

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 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.
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 hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
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.
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
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?
A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN (see figure part a). Use a factor of safety of 1.8 against yielding. (a) If the thickness t of the pipe is one-eighth of its outer diameter, what is the minimum required outer diameter dmin? (b) Repeat part (a) if the tube has a hole of diameter dt 10 drilled through the entire tube, as shown in the figure part b.
(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
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 scuba t a n k (see fig ure) i s bci ng d e signed fo r an internal pressure of 2640 psi with a factor of safety of 2,0 with respect to yielding. The yield stress of the steel is 65,000 psi in tension and 32,000 psi in shear, (a) If the diameter of the tank is 7,0 in., what is the minimum required wall thickness? (b) If the wall thickness is 0.25 in., what is the maximum acceptable internal pressure?
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?