113_2009_HW2_final

113_2009_HW2_final - with the longitudinal axis The maximum...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
UNIVERSITY OF CALIFORNIA College of Engineering Department of Materials Science and Engineering Assigned 09/15/09 Due 09/22/09 Fall 2009 MSE 113 Prof. Ritchie Mechanical Behavior of Materials PROBLEM SET 2 Consider an infinite plate. The plate is loaded so that the stress state in the plate is given by Problem 1 𝜎𝜎 𝑖𝑖𝑖𝑖 = 375 80 0 80 120 0 0 0 0 𝑀𝑀𝑀𝑀𝑀𝑀 a) Where are the principal axes and what are the principal stresses? b) The yield stress of the material under uniaxial tension is σ y = 250 MPa. Use both the Tresca and von Mises yielding criteria to determine if yielding occurs in the plate Determine the principal stresses and their orientation relative to the x, y axes for the following sets of applied stresses, and illustrate your answer with a reasonably accurate Mohr’s circle for each case. Problem 2 a) σ 11 = 185 MPa σ 22 = –35 MPa σ 12 = 60 MPa b) σ 11 = 15 MPa σ 22 = –275 MPa σ 12 = 0 c) σ 11 = 100 MPa σ 22 = 20 MPa σ 12 = 125 MPa
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
A thin-walled cylindrical pressure vessel is constructed with a helical weld that makes an angle of 60°
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: with the longitudinal axis. The maximum internal pressure is 800 kPa, and the inside radius is 2.0 m with a wall thickness of t = 10 mm. Problem 3 a) Find σ θθ and σ zz b) Determine the maximum shear stress, as well as the normal stress and the shear stress acting on the weld. c) Use the von Mises and Tresca criteria to determine at what internal pressure the vessel yields ( σ y = 50 ksi). Comment. Is one of the criteria more conservative than the other? Forces (F1, F2 and F3) are applied to the faces of a rectangular block of material, as shown below. The dimensions of the block are x 1 = 15 cm, x 2 =9 cm and x 3 =3 cm. Calculate the fractional change in x 1 due to the resulting elastic deformation. The Young's modulus is 225 GPa; the Poisson's ratio ν is 0.33 Problem 4 (F 1 = 70 kN, F 2 = 25 kN, F 3 = 45 kN)...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern