{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW2 - σ xx = 4MPa σ yy = 3MPa σ zz = 0MPa τ xy = 2MPa...

This preview shows page 1. Sign up to view the full content.

EAS4200C Aerospace Structures Homework #2 (Due: Sep. 11th) 1. Consider a unit cube of a solid occupying the region 0 x 1 , 0 y 1 , 0 z 1 . After loads are applied, the displacements are given by u = α x , v = β y , w = 0 . (a) Sketch the deformed shape for α = 0.03, β = 0.01 . (b) Calculate the six strain components. (c) Find the volume change Δ V [ Δ V = V (the volume after deformation) V 0 (the original volume ) ] for this unit cube. Show that ε xx + ε yy + ε zz Δ V . 2. The state of stress in a body is uniform and is given by
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: σ xx = 4MPa, σ yy = 3MPa, σ zz = 0MPa, τ xy = 2MPa, τ yz = 0MPa, τ xz = 0MPa . (a) Find the three components of the stress vector t on the surface ABCD as shown in the figure. (b) Find the normal component σ n of the stress vector. 3. Find the principal stresses and corresponding principal directions for the stresses given in Problem 2. Check the result with other methods such as Mohr’s circle....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern