Answered: distortion-energy and…

Engineering

Mechanical Engineering

distortion-energy and maximum-shear-stress theories, analyze the following plane stress states/principal stresses.

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 8.2.12P: Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in...

See similar textbooks

Related questions

Q: By application of tensile force, the cross-sectional area of bar Pis first reduced by 30% and then…

A: Given:Initial Area =AFinal area, A1=0.7A (reduced by 30%)After second reduction Area,…

Q: At a point in a thin steel plate in plane stress (0z = Tx2 = Tyz = 0), Ex =800µ, Ey= - 400µ, and Yky…

A: The stresses in the element along the x and y direction in the above question can be obtain by the…

Q: 2. Discuss briefly what are stress elements and how essential are these on the analysis of principal…

A: To discuss: What is stress element and how essential are these on the analysis of principle stress…

Q: The principal stresses at a point are 70, 60 and -18 MPa; say o, is the yield point stress of the…

A: Given data

Q: In the case of plane stress, how can the plane-strain analysis be used?

A: Plane stress arises in case of thin components. Plane strain arises in case of very thick…

Q: and shear stresses acting on one plane are 8000 psf compression and 2000 psf, respectively. On a…

Q: A steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the…

A: Now we have the moment equation asMx=16×510-11×230=5630kN.mm=5.63kN.mMy=-20×510=-10200 kN.mm=-10.2…

Q: A plate (Fig. Qla) is subjected to uniform stresses o, and o, only. This loading gives rise to…

A: It is required to evaluate given statement for given loading

Q: 3. (a) Using Stress transformation equations, determine the principal planes, the principal…

Q: The principal stresses at a point P in a solid are 70 MPa, -70 MPa and 0. The yield stress of the…

A: In solid mechanics, when a material is subjected to external forces, it experiences internal…

Q: Describe in words (not equations) the following: (a) Principal stresses (b) Principal centroidal…

A: The principal stresses and the principal centroidal axes of bending.

Q: 2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m?…

Q: Explain the deconvolution of the principal stress state into the hydrostatic and deviatoric stress…

Q: What is the maximum in-plane shear stress for the given state of stress? Express your answer with…

Q: 1. A 1.5-m long circular cross-sectioned bar with r = 1 cm is under a combination of bending moment…

A: DISCLAIMER FOR MULTIPART FROM BARTLEBYSince you have posted a question with multiple sub-parts, we…

Q: Es atmospheric. Determine (a) the radial and tangential stress distribut across the the thickness,…

A: a = 8cm, b=12cm, Pb = -0.09MPa

Q: In thin spherical shell, the ratio of radial to circumferential stress is 1 (a) (b) 1 (с) 2 (d) 4

A: Given: Ratio of radial to circumferential stress in thin spherical shell.

Q: Part-A (Theoretical & Mathematical Problem) For the following state of stress, (a) using the general…

A: (a) Write the given stresses from the diagram. σx=20 ksiσy=-10 ksiτxy=-12 ksi Write the angle…

Q: Why do we define engineering and true stresses for tension/compression loading but not for shear…

A: Engineering stress: It is the stress based on the initial or original cross sectional area (Ao)…

Q: Calculate the principal stresses to the given state. Calculate the angle of rotation in the x-y…

Q: (a) Construct Mohr's circle for an element in a uniaxial state of stress (b) Use this Mohr's circle…

A: Procedure for Mohr’s circle:

Q: What is stress transformation and why we study stress transformation at a point within a given…

A: As per Bartleby policy i can solve one question at a time if you want answer other question kindly…

Q: A rectangular element is a strained body is sub jected to tensile stresses of 250 N/mm² and 180N/…

Q: criterion, which one of the following statements is true?

A: Given data; as given in fig, two states of stress is shown in configuration we have to find with…

Q: * For the following data, uning Mohr's cínele of stress and trigonometny, find the principal…

A: Given: σ1=σx=0σy=σ2=-20 ksiθ=30°(anticlokwise)

Q: Assume the plane stress state: o1 = 0, 02 = 20, t12 = 15 (all stresses in ksi). If oz alone is…

A: Given σ1 = 0 ksi σ2 = 20 ksi τ12 = 15 ksi To find Magnitude of σ2 for maximum shear stress is 20 ksi

Q: principle planes are planes ich are separated by 30 where When the shear stress is not zero When the…

A: The principle planes are two planes which are separated by 90° where the principle stresses occur.…

Q: Calculate the principal stresses to the given state. Calculate the angle of rotation in the x-y…

Q: Explain the method of representing the combination of normal and shear stresses acting on any plane…

A: Let us take an incremental stressed element from any member.

Q: 1. For the two cases i.e. (a) 2D and (b) 3D shown below, find the principal stresses, maximum shear…

A: a) The given values are - σx= 60MPa , τxy=40 MPa , σy= 0 The principal stresses are given by - σ1,…

Q: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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

Question # 2 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, analyze the following plane stress states/principal stresses. (d) ơ, = -12 kpsi, o, = 15 kpsi, 7y = -9 kpsi (e) 0z = -24 kpsi, ơ, = -24 kpsi, 7y = –15 kpsi = 30 kpsi TA = 30 kpsi, OB = 30 kpsi, oB = -30 kpsi (g)
i need the answer quickly
Please don't provide handwritten solution ...
Do not give answer in image and hand writing
Please help with this question. Thank you.
3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank containing compressed air under a pressure of 2 MPa. The tank has a 400 mm outer diameter and a 20 mm wall thickness. Aluminum 6063 has a yield strength of 48 MPa. a. Draw and label a stress element for the most stressed point on the tank. Explain why this is the most stressed point. b. Sketch Mohr's circle and find the principal stresses at the most stressed point. Make sure you label your axes! c. Determine whether or not this is a safe loading scenario by considering the max normal stress, max shear stress, and distortion energy. (Hint - calculate the factor of safety for each failure criteria) T
Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using the distortion-energy and maximum-shear- stress theories for the following principal stresses. A = 28 kpsl, and og = 15.5 kpsi The factor of safety from the maximum-shear-stress theory is 1.94 1.88 and the factor of safety from distortion-energy theory is
5 The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield strength is t(MPa) o(MPa) -100 -10 (a) 45 MPa (c) 90 MPa (b) 50MPA (d) 100 MPa
In the picture there is a sketch of a socket wrench. Assume the wrench is held at a fixed point “A”. The yield stress of the material is known to be 400 MPa. Answer the questions below Describe the stresses at point “A” and their causes and calculate the stresses. Determine the factor of safety against yield assuming the Tresca yield criteria. Determine the factor of safety against yield assuming the von Mises yield criteria using both principal stresses and “Cartesian” stresses. Do your values match or not, and is this expected? Explain. Do the calculated values make sense with the respect to the Tresca value? Explain, why or why not?
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 circular rod of length 18 cm and diameter 5 mm is made of grade 1045 grade steel. a. Calculate the stress and strain in the rod, and its extension, when it is subjected to 7 kN of tension. (Express your answers using three significant figures.) |MPa E = x10-4 (Express your answer using whole numbers.) AL = | pm b. At what force would the rod begin to yield? (Express your answer using three significant figures.) F = |kN c. By what amount would the rod have to be stretched beyond its original length in order to yield? (Express your answer using whole numbers.) AL = um
(a) Figure 1.1 shows a thick cylinder with inside radius of r;=94 mm and outside radius ro =136 mm was pressurized internally Pi = 56 MPa and externally Po= 26 MPa. Analyse: i. The hoop stress and radial stress on internal and external surface of the cylinder. ii. The hoop stress and radial stress at r= 115 mm. iii. The maximum and minimum shearing stress. iv. Sketch the distribution of hoop stress and radial stress along the cylinder wall. Po Figure 1.1 The thick cylinder