{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIT2_092F09_sol6 - 2.092/2.093 FINITE ELEMENT OF SOLIDS AND...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
2.092/2.093± F INITE E LEMENT OF S OLIDS AND F LUIDS F ALL 2009± Homework 6- solution Instructor: Prof. K. J. Bathe Assigned: TA: Seounghyun Ham Due: Problem 1 (20 points):± Figure 1: Stress distributions with 1×4 mesh± Session 14 Session 16
Image of page 1

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

View Full Document Right Arrow Icon
Figure 2: Stress distributions with 2×8 mesh
Image of page 2
Figure 3: Stress distributions with 4×8 mesh
Image of page 3

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

View Full Document Right Arrow Icon
Figure 4: Stress distributions with 4×16 mesh
Image of page 4
· Euler-Bernoulli Beam Theory d 4 w p Governing equation: EI =p(x)=- 0 x . dx 4 L dw ( 0) d 2 w ( L ) d 3 w ( L ) Boundary conditions: w (0) = 0 ; = 0 ; = 0 ; = 0 . dx dx 2 dx 3 After solving the governing equation with boundary conditions, we are able to obtain d 2 w p 0 x 3 2 2 2p L 2 τ xx =-Ez =Ez ⎟⎜ -L x+ L 3 and τ xx = 0 =3.2×10 9 2 at x=0, dx 2 2EIL 3 3 h 2 N m z= h . 2 Table 1: Numerical results for maximum stresses τ Mesh Max. stress yy Max. stress τ yz Max. stress τ zz 1×4 3.37E+09 9.71E+06 1.25E+09 2×8 3.71E+09 1.10E+08 1.42E+09 4×8 3.88E+09 1.38E+08 1.46E+09 4×16 4.17E+09 1.87E+08 1.60E+09 The finite analysis stress, τ yy
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the 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