A small element is under loading where ox =-22 MPa, oy =22 MPa and try =14 MPa. Taking the yield stress as 56 MPa, analyze whether the yielding occurs or not by maximum distortion energy criterion. If it does not yield, determine how safe it is.

A small element is under loading where ox =-22 MPa, oy =22 MPa and try =14 MPa. Taking the yield stress as 56 MPa, analyze whether the yielding occurs or not by maximum distortion energy criterion. If it does not yield, determine how safe it is.

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

Q: A thick walled cylinder with an inner diameter 44 mm and an outer diameter 70 mm is made from a…

A: To find: The pressure will the cylinder initially yields. Given: The inner diameter is di=44 mm and…

Q: 1. A 6061-T6 aluminum bar, whose true stress-true strain relationship is given by σ = 100,000ε0.25…

A: (1) True strain is :

Q: The state of plane stress at a critical point in a steel machine bracket is shown. If the yield…

Q: Suppose that o, = 170 kPa and oy = 620 kPa Determine the equivalent state of stress on an element at…

A: Given data: The stress in x-direction, σx = 170 kPa. The stress in y-direction, σy = 620 kPa. The…

Q: The principal stresses at a point in a critical section are sigma_{1} = 60MPa sigma_{2} = 5MPA and…

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: The state of stress at a point in member is given by: 50 60 100 60 40 80 MPa 100 80 20 A torsion…

A: Write the given data. σxx=50τxy=60τxz=100τyx=60σyy=40τyz=80τzx=100τzy=80σzz=20 According to…

Q: Two rods are connected by means of a pin joint. The axial force Pacting on the rod is 25 kN. The…

Q: If the shaft must have one uniform diameter, determine the required minimum diameter of the shaft…

Q: Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa ,…

A: Since factor of safety greater than 1 hence bar will not fail. We can find the factor of safety (FS)…

Q: Bar of steel, (yield strenght Sy = 445 MPa) is subjected to the following stresses; σx = 228 MPa ,…

Q: The aluminum shell is fully bonded to the brass core, and the assembly is unstressed at a…

Q: Determine the reactions and draw the shear and bending moment diagrams for the structures shown in…

A: Shear Force And Bending Moment Diagram.

Q: negligible. Determine the safety factor against yield using Coulomb-Mohr failure theory

A: Calculate the normal bending stress at A.

Q: For the system shown in Figure 1A. The fillet of 6 mm radius for this member is critical.…

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

Q: A AISI 304 steel bar, 5 m long with square section (2x6 mm), is stretched by effect of a applied…

Q: 1. Given: A rocker-arm supports a distributed load, wo = 500 lbf/ft. The arm is secured with a thin…

Q: During a test, a tungsten specimen alloy{ E =407GPa } by having a diameter of 10.5 mm is applied…

A: Data given - E = 407 GPa { 407000 MPa } P = 8000 N D = 10.5 mm Maximum allowable elongation =…

Q: 5. The beam made of brittle material has a rectangular cross section and is subjected to the…

A: Ultimate tensile strength, σut=25 ksiUltimate compressive strength, σuc=50 ksi And, free-body…

Q: A machine component made of a ductile material is subjected to a variable loading with Omin=-50 MPa…

A: Given:minimum stress=-50 MPamaximum stress=50 MPa

Q: Ex2: A (0.091186 cm) steel sheet is bent to a radius of 1.27 cm. Assuming that its yield stress is…

A: Given Thickness = 0.091186 cm Initial radius = 1.27 cm Yield stress = 275.79029 MPa Bend angle =…

Q: For a material under uniaxial tension loading, Find the true strain at which necking instability…

A: n=0.42 K=300 MPa

Q: A load of P=3.1 kip is applied to the A-36 structural- steel beam. The modulus of elastisity and…

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: A small element is under loading where ox =-22 MPa, ơy =22 MPa and txy =14 MPa. Taking the yield…

A: Given data:

Q: If a machine part is made of titanium (Ti-6A1-4V) and a critical point in the material is subjected…

A: Given Data: The principal stress is σ1. The principal stress is σ2=0.5σ1. The yield stress…

Q: Consider an isotropic material subjected to a combined state of biaxial compression and simple…

A: Write the given stress matrix. σij=-στ0τ-kσ0000=σxxτxyτxzτyxσyyτyzτzxτzyσzzOn comparing both…

Q: For a following loading that has generated the strain state below in the limit of isotropic…

A: Tresca criteria The Tresca criterion is equivalent to saying that yielding will occur at a critical…

Q: Can you find the total deformation (mm) and strain energy values (J) at A, B, C, D,E? Shear Modulus;…

A: To find: The total deformation and strain energy values at A, B, C, D and E. Given: The shear…

Q: A shaft transmits 20 kW power and rotates at 500 rpm. The material of the shaft is 50C4 (ơvp = 460…

A: Given, Power transmitted = P = 20 kW = 20,000 W Shaft RPM = N = 500 rpm Yield strength of shaft =…

Q: 4. A cylinder with inner radius a and outer radius 2a is subjected to internal pressure p. Using a…

A: Stress is a measurement of how the material reacts to external influences. It's just the external…

Q: A brittle material has the properties Sut = 30kpsi and Suc = 90kpsi. Determine the factor of safety…

Q: A brittle material has the properties . Sut = 30 kpsi and Suc = 90 kpsi Using the brittle…

Q: At a point in a steel structure (Y = 490 MPa, E = 200 GPa, v = 0.29), the principal stresses are oj…

Q: • Calculate the factor of safety of the material under maximum shear stress and maximum distortion…

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 ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa.…

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: b) A hollow tube of cross-section as shown in Figure 2.2 is subjected to an axial tensile force of…

A: Given data is

Q: Bar of steel, (yield strenght Sy = 469 MPa) is subjected to the following stresses; σx = 218 MPa ,…

A: Given data:

Q: The principal stresses at a critical point in plane stress are o and 0.250. The yield stress for the…

Question

8. A small element is under loading where ox =-22 MPa, o, =22 MPa and txy =14 MPa.
Taking the yield stress as 56 MPa, analyze whether the yielding occurs or not by
maximum distortion energy criterion. If it does not yield, determine how safe it is.

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 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

A machine component made of a ductile material is subjected to a variable loading with 50 MPa and omax 50 MPa. If the Omin = corrected endurance limit and the yield strength for the material are o o, = 300 MPa, respectively, the factor of safety %3D 100 MPa and %3D e is
The bxd xhrubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P- 750 N causes the upper frame to be deflected downward by 4.9 mm. Determine the average shear strain and the shear stress in the rubber blocks. Assume b 16 mm, d 28 mm, and h= 28. Double U anti-vibration shear mount Rubber block dimensions Shear deformation of blocks Answers: Average shear strain- rad. Average shear stress- kPa. 478316
Problem 19.1 The shaft shown in the following diagram is supported by two self-aligning bearings at A and B and is subjected to the loads shown on the chain sprockets. 50 mm 100 mm. 100 mm F 30 mm 3000 N 100 mm 50 mm
Consider the pre-deformation cross-section of a bar, a side view of which is shown in the figure below. h ΫΠ' ΑΣΦ D The diameter of the bar is d = 230 mm. A bending moment is applied that causes the neutral axis to become concave up. What is the normal strain h = 40 mm from the bottom of the bar if the radius of curvature is measured to be p = 6.7 m? Express your answer to three significant figures. ► View Available Hint(s) Ax ↓↑ vec t O ? mm/mm
please answer completely
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following principal stresses:
Bar of steel, (yield strenght Sy = 422 MPa) is subjected to the following stresses; ox = 182 MPa , oy = -164 MPa , TXy = 143 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.
Why does the answer of this problem consider radial stress if it is a thin walled?
The top lid of a nuclear reactor is being held by clamping screws which are made of AISI 4340 steel tempered at 260°C. They are stressed to a maximum level of 1050 MPa during a pressurization test before starting the reactor. Find the factor of safety guarding against yielding and the factor of safety guarding against crack propagation if the initial cracks in the material have B=1.3 and a=1.2 mm
I need the answer as soon as possible
Please full answer with drawings and BIG clear Handwriting. Please
A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: