A solid cylindrical rod 12 mm in diameter and 50 mm in length is attached to a rigid support at one end and twisted at its free end by 14°. If the Poisson’s ratio for this isotropic material is 0.34 and Young’s modulus is 70 GPa, what is the maximum shear stress induced?

A solid cylindrical rod 12 mm in diameter and 50 mm in length is attached to a rigid support at one end and twisted at its free end by 14°. If the Poisson’s ratio for this isotropic material is 0.34 and Young’s modulus is 70 GPa, what is the maximum shear stress induced?

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 8.2.7P: (a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the...

See similar textbooks

Related questions

Q: 2. An Al alloy rod with 300 mm length and 10 mm in diameter is subjected to 5 x 10° N force at one…

Q: A cylinderbar of steel,10 mm in diamter is to be defromed elastically by application of a force…

A: Given Data⇒ Diameter of cylinder bar(d)=10 mm=0.01 m Elastic reduction ∆d=0.003 mm∆d=0.003×10-3 m…

Q: A plastic bar of 88 mm is to be twisted by torques T until the angle of rotation between the ends of…

Q: When a round bar material with diameter of 37.5 mm, length of 2.4 m, Young's mod of 110 GN/m² and…

A: Given data:Young modulus of elasticity=110 GN/m2Bar diameter=37.5 mmShear modulus=42 GN/m2Bar…

Q: If an isotropic material has a shear modulus of 11 Gpa and a Poisson's ratio of 0.34, calculate its…

Q: 13. For a given material, Young's modulus is 110 GN/m² and shear modulus is 42 GN/m2. Find the bulk…

Q: 4. Calculate the Youngs modulus for the materialL of the bar shown below, The bar has an initial…

Q: 1. Steel bars AB, CD and EF (E=200 GPa) are under the influence of 36 kN P load. bars AB and CD each…

A: The force which is incident towards a cross-section is termed a compressive force. The stress which…

Q: 4. A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original…

Q: A bar of thickness 15mm and having a rectangular cross-section carries a load of 120kN. Determine…

Q: A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a…

A: Since you have posted multiple independent questions we will solve the first question for you To get…

Q: A cantilever of circular cross section has a diameter of 150 mm and is made from steel, which, when…

Q: To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of…

Q: A steel rotating-beam test specimen has an ultimate strength of 1600 MPa. Estimate the life of the…

A: Given data: Ultimate strength Sut = 1600 MPa Stress amplitude σa = 900 MPa First we calculate the…

Q: A rubber block with dimensions of 120x120x120 mm is compressed in a rigid mold cavity with a…

Q: Calculate the percentage elongation of a steel rod, when it is subjected to an axial pulling force…

Q: A metallic bar of 1 cm diameter, when tested under an axial pull of 10 kN, was found to reduce its…

A: ...

Q: A plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of…

Q: A copper rod [E= 110 GPa] originally 599 mm long is pulled in tension with a normal stress of 278…

Q: A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength…

A: Given:P1=20 kNP2=100 kNσy=240 MPaσe=160 MPaFactor of safety=2

Q: You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The…

A: The cross section of the square rod is, A=4 mm×4 mm The length of the rod is, L=2.3 m The Young's…

Q: Consider a cylindrical nickel wire 1.6 mm in diameter and 3.5 × 104 mm long. Calculate its…

Q: What is the Poisson's ratio if the ratio of Young's modulus (E) to the shear modulus (G) is 2?

A: Given data, The ratio of young's modulus and shear modulus is 2 ie E/G=2

Q: Q 2 Consider a low-carbon square steel bar 30 mm on a side and 1.7 m long having a material yield…

Q: 1. Does plane section (square plane) on the surface of the circular shaft remain plane after loading…

A: According to terms and conditions of bartleby we can only provide 1st solution. Thank you!

Q: If an isotropic material has a shear modulus of 125 Gpa and a Poisson's ratio of 0.2, calculate its…

Q: A steel bar with an ultimate strength of 131 kpsi is loaded in bending and failed after 53,957…

Q: Callister Problem 6.20: A brass alloy is known to have a yield strength of 275 MPa, a tensile…

Q: 8. A cylindrical specimen of a hypothetical metal alloy is stressed in compression. If its original…

Q: A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and…

Q: A bar produces a lateral strain of magnitude 60x105 m/m when subjected to a tensile stress of…

Q: For a brass alloy, the stress at which plastic deformation begins is 345 MPa (50,000 psi), and the…

Q: For a given material, Young’s modulus is 100GPa and shear modulus is 40GPa. Find the bulk modulus…

Q: A rectangular 30 mm x 25mm bar of length 250 mm subjected to axial tension load of 75 kN. Determine…

A: As per our guidelines we have to answer only one question. So, post the question seperately and…

Q: A short rectangular-sectioned timber post has one side of its section twice the other. When 9.542 kN…

A: The elongation/contraction of a rectangular beam subjected to a axial load can be calculated using…

Q: A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus…

A: Given, The diameter of the rod, d=16 mm The length of the rod, L=500 mm The load, P=40 kN=40000 N…

Q: A copper rod of 50mm diameter is surrounded by a steel tube of 100mm external diameter, the ends…

A: Given data diameter of copper rod (d) = 50 mm outer diameter of steel tube (D) = 100 mm…

Q: An aluminum wire of length 2.0 m and diameter 5 mm is used to hang a load of 100 kg. The modulus of…

Q: A copper rod [E= 113 GPa] originally 606 mm long is pulled in tension with a normal stress of 242…

A: GivenE=113 GPaL=606mmσ=242 MPa

Q: A steel wire 60cm long and 0.32 cm in -9 radius is attached to the pulley in 5.5cm radius , 3kg…

A: Given: The length of wire, L = 60 cm The radius of of wire, r = 0.32 cm The radius of pulley, R =…

Q: If an isotropic material has a shear modulus of 125 Gpa and a Poisson's ratio of 0.2, calculate its…

Q: A circular rod of diameter 8 mm and 300 mm long is subjected to a tensile force 20 kN. Take E =…

A: Given data:

Q: n an experiment, an alloy bar of 1m long and 20mm by 20mm in section was tested to increase through…

A: GivenL=1md=20mm=0.020m∆L=0.1mmσ=6.4kNE=133Gpa

Q: A bar is subjected to fluctuating tensile load from 20 KN to 100 kN. The material has yield strength…

A: Given, Minimum force during a cycle = Fmin = 20 kN Maximum force during a cycle = Fmax = 100 kN…

Q: Consider a bar of cast iron under complex loading. The bar is subjected to a bending moment of M =…

Q: A cantilever beam, 80 mm wide by 220 mm high and 8 m long, carries a load that varies uniformly from…

A: Find the normal stress in a fiber 70 mm from the top of the beam at a section 5 m from the free end.

Q: A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter…

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

A solid cylindrical rod 12 mm in diameter and 50 mm
in length is attached to a rigid support at one end and twisted
at its free end by 14°. If the Poisson’s ratio for this isotropic
material is 0.34 and Young’s modulus is 70 GPa, what is the
maximum shear stress induced?

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

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 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 spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
A cylinderbar of steel,10 mm in diamter is to be defromed elastically by application of a force along the bar axis (axial loading) .determine the force that will produce an elastic reduction of 0.003 mm in the diameter.The poisson's ratio is 0.30 and the modulus of elasticity is 207 Gpa for carbon steel.
cylindrical bar of aluminum 20 mm in diameter is to be deformed elastically in tension. Aforce of 17,000 N. produces a reduction in specimen diameter of 3*10-3 mm if its elastic modulus is100 GPa. Draw the deformation situation and Compute Poisson’s ratio for this material if its elasticmodulus is 100 GPa?
A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield strength of 240 MPa and endurance limit in reversed bending is 160 MPa According to the Soderberg principle, the area of cross-section in mm of the bar for a factor of safety of 2 is.....
An aluminum specimen having a rectangular cross section of 10mm x 12.7mm is pulled in tension with 40,000 N force, producing only elastic deformation (E for Aluminum = 69Gpa). Calculate the resulting strain.
A plastic bar of 53 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 9 degree. If the allowable shear strain in the plastic is 0.018 radian, what is the minimum permissible length of the bar in mm?
You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The material has a Young’s modulus of 72 GPa. If a compressive load of 3 kN is applied parallel to the 2.3m dimension, what is the resulting engineering normal strain?
For a given material, Young’s modulus is 100GPa and shear modulus is 40GPa. Find the bulk modulus and lateral contraction of a round bar of 40mm diameter and 2.5 m long when stretched 2.5 mm.
8. A brass bar having cross-sectional area of 1000 mm? subjected to axial forces as shown below. Find the elongation of the bar if Young's Modulus of the material is 1.05 x 105 N/mm?
An elastic rubber sphere of radius 20mm is pressed upon a rigid sphere of radius 50mm. The Young’s modulus of rubber is 0.1GPa and the Poisson’s ratio is 0.45. If the maximum allowable pressure below the indenter is 10MPa, determine the maximum contact force that we can apply and the corresponding contact radius.
A plastic bar of 88 mm is to be twisted by torques T until the angle of rotation between the ends of the bars is 80. If the allowable shear strain in the plastic is 0.014 radian, what is the minimum permissible length of the bar in mm?