The state of stress at a point in a steel bar is represented in the stress element seen below. The steel has a yield stress of oyp = 260 MPa. Using a safety factor of 2 and Maximum Shear Stress Theory, predict if this bar will fail. What is the formula for Hooke's Law in Shear? Which material, steel or rubber, has a larger Poisson's ratio?

The state of stress at a point in a steel bar is represented in the stress element seen below. The steel has a yield stress of oyp = 260 MPa. Using a safety factor of 2 and Maximum Shear Stress Theory, predict if this bar will fail. What is the formula for Hooke's Law in Shear? Which material, steel or rubber, has a larger Poisson's ratio?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The three principal stresses at a given point are o; = 60 MPa, o2 = -100 MPa, o3 = -10MPA. If the…

A: Given that, σ1 = 60 MPaσ2 = -100 MPaσ3=-10 MPa Yield strength of Material Syt = 250 MPa

Q: Consider a linear rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of…

Q: UT FOR CONCENTRIC 回SS, Fy (MPa) 0 5-222 222 32 S 寸 246 288 288 244 287 286 19739 241 284 282 322 074…

Q: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of Syt = 50…

Q: A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm)…

A: Given data:To find:(a) The tension force P according to distortional energy theory.(b) The minimum…

Q: A bar is supported with a pin support as shown. Determine the maximum force, F, that could be…

A: Step 1: Step 2:Step 3:Step 4: Step 5:

Q: The composite bar, firmly attached to unyielding supports, is initially stressfree. What maximum…

Q: An element of a ductile material on the free surface of a component is subjected to the stress…

Q: Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with…

Q: 1. Determine the maximum safe load P which may be applied if the shearing stress in the rivets is…

Q: P Given: The 5 in. x 5 in. rod is assumed to be elastic- perfectly plastic with P = 12,000 kip, L=…

Q: The wood beam in (Figure 1) is subjected to a load of P = 15 kN. Grains of wood in the beam at point…

A: Given data with the suitable variables. P=15 kNβ=25° It is required to determine the normal and…

Q: An elastic rubber sphere of radius 20mm is pressed upon a rigid sphere of radius 50mm. The Young’s…

Q: 2. A prismatic bar under an axial load produces a tensile stress of 75MPa on a plane at an angle of…

A: Calculated normal and shearing stress in all faces of the element at an angle of 50 degrees.

Q: A bar of 4340 steel has an Sy = 50 ksi. Which of these statements is true: If Sy = 50 ksi, than the…

Q: A steel rod with a radius of 2.5 cm, the ends of which are fixed, is subjected to a tension force of…

Q: Figure 1: This bar is made of AISI 1020 cold-drawn steel and is loaded by the forces F=60 lb, F2= 80…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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

The state of stress at a point in a steel bar is
represented in the stress element seen below.
The steel has a yield stress of oyp = 260 MPa.
Using a safety factor of 2 and Maximum Shear
Stress Theory, predict if this bar will fail.
What is the formula for Hooke's Law in Shear?
Which material, steel or rubber, has a larger
Poisson's ratio?

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

VIEW

Step 2

VIEW

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

Please help me solve this question and show all work
A machine element is subjected to the following bi-axial state of stress; o = 80 MPa; o,= 20 MP%3; = 40 MPa. If the shear strength of the materials xy is 100 MPa, the factor of safety as per Tresca's maximum shear stress theory is (a) 1.0 (c) 2.5 (b) 2.0 (d) 3.3
A load of P = 3.1 kip is applied to the A-36 structural- steel beam. The modulus of elastisity and shear modulus for A-36 steel are 29 (103)ksi and 11(103) ksi respectively. (Figure 1) Figure 3 ft 12 in. 4 ft- B 2 in. 1 of 1 TAL 12 in. 41 6 in. Determine the strain & at point A. Express your answer using three significant figures. Ex 11 Submit ▾ Part B IVD ΑΣΦ | Π Try Request Answer Determine the shear strain Yay at point A. Express your answer using three significant figures. Submit ΠΑΣΦΗ 11 vec Request Answer vec ? ?
A brittle material has the properties Sut = 30kpsi and Sue = 90kpsi. Determine the factor of safety for the following states of stresses using; Brittle Coulomb Mohr Theory Modified Mohr 1 Theory (a) ox = 20kpsi,Oy = (b) o = 15kpsi,o, = -25kpsi (c) ox = 10kpsi,0y = -40kpsi (d) o, = -20kpsi,o, = -20kpsi, txy = -40 10kpsi, ty = -15kpsi (1) Draw the stress element (11) Plot the failure diagram in the o-plane (III) Estimate the factor of safety
The shear stress-strain diagram for an alloy is shown in the figure below (Figure 1). Take ✓ = 0.3 Figure 7 (ksi) и Ty 50 0.004 y (rad) < 1 of 2 Part A If a bolt having a diameter of 0.27 in. is made of this material and used in the lap joint, determine the modulus of elasticity E. (Figure 2) Express your answer to three significant figures and include appropriate units. E 3.25x10 ksi Submit ✓ Correct Part B Previous Answers Determine the force P required to cause the material to yield. Express your answer to three significant figures and include appropriate units. P= 5.73 X Incorrect Enter your Provide Feedback μA Submit Previou Answers Request Answer ksi ? Wron
Please help me with this mechanical engineering problem. Thank you.
For the previous problem, compute the following six stress quantities: Ox, Oy, 0z, Txy, Tyz, Tzx. Assume this is an aluminum alloy (E = 10,000 ksi, G = 3800 ksi, v = 0.33). Do not forget units!
At a point in a steel structure (Y = 490 MPa, E = 200 GPa, v = 0.29), the principal stresses are o1 = 122 MPa, o2 = 0 MPa and o3 = -63 MPa. What is the factor of safety against yielding using maximum distortion energy von Mises) criterion?
Detailed explanation for last parts. I will rate the answer after verification. Please be sure
A cylindrical 1045 steel bar (see the figure below) is subjected to repeated compression- tension stress cycling along its axis. If the load amplitude is 23,000 N, calculate the minimum allowable bar diameter (in mm) to ensure that fatigue failure will not occur. Assume a factor of safety of 2.0. Maximum stress, S (MPa) 700 600 500 400 300 200 100 0 4340 steel 104 Ti-5Al-2.5Sn titanium alloy 70Cu-30Zn brass EQ21A-T6 Mg alloy 105 1045 steel Ductile cast iron 107 2014-T6 Al alloy 108 10⁹ 106 Cycles to failure, N Data taken from the following sources and reproduced with permission of ASM International, Materials Park, OH, 44073: ASM Handbook, Vol. I, Properties and Selection: Irons, Steels, and High-Performance Alloys, 1990; ASM Handbook, Vol. 2, Properties and Selection; Nonferrous Alloys and Special- Purpose Materials, 1990; G. M. Sinclair and W. J. Craig, "Influence of Grain Size on Work Hardening and Fatigue Characteristics of Alpha Brass," Transactions of ASM, Vol. 44, 1952.
I need the answer as soon as possible
The stresses on the surface of a hard bronze component are shown in the figure below. The yield strength of the bronze is σY = 345 MPa.a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory?b) What is the value of the Mises equivalent stress for the given state of plane stress?c) What is the factor of safety predicted by the failure criterion of the maximum-distortion energy theory of failure? Does the component fail according to this theory?