An element of a ductile material on the free surface of a component is subjected to the stress system shown in Figure 1. (e) If the material has a yield stress of 300 MNm-², and recognising that plane stress conditions prevail in the element (i.e., at the free surface), determine the factor of safety against yielding using; the Tresca yield criterion, and the von Mises yield criterion. (i) (ii) 100 MN m-² 200 MN m-² 80 MN m-² 100 MN m-² 2001 200 MN m-² Figure 1: Stresses on element 1.. X

An element of a ductile material on the free surface of a component is subjected to the stress system shown in Figure 1. (e) If the material has a yield stress of 300 MNm-², and recognising that plane stress conditions prevail in the element (i.e., at the free surface), determine the factor of safety against yielding using; the Tresca yield criterion, and the von Mises yield criterion. (i) (ii) 100 MN m-² 200 MN m-² 80 MN m-² 100 MN m-² 2001 200 MN m-² Figure 1: Stresses on element 1.. X

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: The image shows the yield loci for the Tresca and von Mises yield criteria. Between which two points…

A: GIVEN: TO FIND:

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

Q: Given: A part is made of ductile material and subjected to principal stresses 01, 02,03. statically…

A: For solution refer below images.

Q: terial has the following properties, ultimate Sul = σul = 350mpa, the strain hardening exponent…

A: Given values:Sultimate=350 MPan=0.2

Q: Uniaxial yield stress of a material is 420 MPa Determine shear yield stress using Von Mises…

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: specimen Yield strength based on actual Yield strength based on 12mm based on actual diameter (MPa)…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer a single question. Kindly…

Q: Consider a 1 m-long bar of 2024-T81 aluminum alloy with a 20mm-diameter and the following property…

Q: calculate the following: 1-modulus of elasticity 2-tensile strength 3-the ductility in % of…

Q: Aluminum Steel Q1

A: Given that, Weight is suspended from structured A-36 steel alloy and 2014 and aluminum alloy wires,…

Q: Two cylinders are slip-fitted together to form a composite open cylinder. Both cylinders are made of…

A: Given DataFor Inner cylinderri=50mmro=75mmFor the outer cylinderri=75mmro=150mmσy=480MPa

Q: Please complete the below problems: 1. An aluminum alloy 2024-T651 (see Table 6.1 in your book)…

A: Given data: An Aluminium alloy 2024-T651 Assuming Yield Strength of a given aluminium alloy is

Q: The attached figure shows, for a gray cast iron, the tensile engineering stress-strain curve in the…

A: Given Stress strain diagram To find Tangent modulus or young modulus at 25 MPa Strain at 35 MPa

Q: A cylindrical rod of steel (E = 207 GPa) having a yield strength of 310 MPa is to be subjected to a…

A: To find-: The diameter to allow an elongation of 0.38 mm. Given-: The young's modulus of the rod is…

Q: The body of a DaVinci hospital robot made of steel material The material was statically loaded.…

A: The given values are - σx=80MPa , σy=-40MPa , τxy=50MPaσys=450MPaFOS=Factor of Safety Let us find…

Q: A machine element is subjected to the following bi-axial state of stress; o = 40 MPa. If the shear…

A: Given:σx=80 MPaσy=20 MPaτxy=40 MPaτys=100 MPa

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

An element of a ductile material on the free surface of a
component is subjected to the stress system shown in Figure 1.
(e) If the material has a yield stress of 300 MNm-², and
recognising that plane stress conditions prevail in the
element (i.e., at the free surface), determine the factor of
safety against yielding using;
the Tresca yield criterion, and
the von Mises yield criterion.
(i)
(ii)
100 MN m-²
200 MN m-²
80 MN m-²
100 MN m-²
2001
200 MN m-²
Figure 1: Stresses on element
1..
X

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: Please go through handwriting solution

VIEW

Step 2: Please see 2nd part of solution

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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 1.6 ft long rod is made from the material, having the elastic modulus of E = 176 ksi and the yield strength of Sy = 1.04 ksi. The material has the stress-strain curve shown below. 1600 1400 1200 2 1000 800 600 400 200 0.5 1 1.5 Strain, percent By what amount must the rod be stretched from its original length for it to begin yielding? (Express your answer using whole numbers.) AL = mils Stress, psi
Please help explain all, thank you!
Determine the elastic modulus and the yield strength for the material having the stress-strain curve shown. Use the 0.2% offset method. 1600 1400 1200 E 1000 800 600 400 200 0.5 1 1.5 2 Strain, percent Elastic modulus: (Express your answer in whole numbers.) E = ksi Yield strength: (Express your answer using three significant figures.) Sy = ksi Stress, psi
Determine the yield strength of a material required such that the component would not fail when subject to the following stresses sigma1 = 2 MPa and sigma 2= -15 MPa sigma 3 = 10 MPa). Use a yield criterion that assumes that yield failure will occur when the maximum shear stress in the complex system becomes equal to the limiting shear strength in a simple tensile test.
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?
1. A part made of Aluminum 6061-T6 has a yield strength = 400 MPa. For each stress state below, draw all 3 Mohr's circles, find the principal stresses, and calculate the safety factor against yield using both the distortion-energy (von Mises) and maximum shear stress (Tresca) criterions. (If relevant) A clearly labeled diagram (or diagrams) clearly pertaining to your analysis with a coordinate system and relevant labels. Final answer with appropriate units and significant figures. You can use the fprintf() command in MATLAB to format numerical results A 2-3 sentence reflection on your answer. Does it make sense? Why or why not? What are some implications?
A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm) has a wall thickness of 3 mm. Address the following: (a) If the yield strength of the material is 144 MPa, determine the largest tension force P with respect to a factor of safety of 2 applied to the distortional energy theory. (b) If the applied torque and tension load were removed, determine the minimum wall thickness using a factor of safety of 1.75 with respect to the distortional energy theory. Illustrate you results using an appropriate yield envelope. p = 3.5 MPa T = 450 N-m P T
A pressure vessel is exposed to a combination of loads as shown below. The vessel (diameter 100 mm) has a wall thickness of 3 mm. Address the following: (a) If the yield strength of the material is 144 MPa, determine the largest tension force P with respect to a factor of safety of 2 applied to the distortional energy theory. (b) If the applied torque and tension load were removed, determine the minimum wall thickness using a factor of safety of 1.75 with respect to the distortional energy theory. Illustrate you results using an appropriate yield envelope. p = 3.5 MPa T = 450 N-m show all wah P
The fluctuating stresses listed in the table are found at a critical location of a component made of steel with Se = 40 ksi, Sy = 80 ksi, Sut = 110 ksi and f= 0.87. These stresses are applied on the part within 10 s. What is the accumulative damage of this part? What is the life of the part in hours if this stress pattern continues to repeat for the remained of the part's life? Use Goodman criterion and Miner's rule in your solution. Loading order |Omin o max |Number of cycles -20 30 -10 50 1 3. -30 30 1
140 900 1040 Steel Percent cold work = 0 %3D 120 Yield strength = 200 MPa 800 Yield strength = 29 ksi 700 100 600 Brass -80 500 400 60 Copper 300 40 200 10 20 40 30 50 60 70 Percent cold work Tensile strength (MPa) Tensile strength (ksi)
5. How much more or less likely is it for a brittle material with volume V to fail compared to the same material with volume Vo/2 at the same applied stress? Why is this the case? Talk specifically in the context of flaw landscape.
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?