MAE_101-Quiz_2-solution

# MAE_101-Quiz_2-solution - Quiz 2 Solution 1 MAE 101 Statics...

This preview shows pages 1–3. Sign up to view the full content.

MAE 101. Statics and Strength of Materials © G. E. Orient 2006 1 Quiz 2 - Solution

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

View Full Document
MAE 101. Statics and Strength of Materials © G. E. Orient 2006 2 From x = 0 to x = l 1 , the cross sectional area of the bar is A 1 = 1 in 2 . From x = l 1 to x = l 2 , A=A 2 x, A 2 =0.1 in . The modulus of elasticity of the material is E = 12 × 10 6 psi . There is a gap d = 0.02 in between the right end of the bar and the rigid wall. If an F=40 kip axial force toward the right is applied to the bar at x = l 1 , what is the resulting normal stress in the left half of the bar? l 1 =10 in l 2 =10 in Is the load sufficient to close the gap? Analysis of the two parts Free body diagrams, equilibrium (including the reaction force on the right end) Force-deflection Displacement compatibility Problem 1 in in E A Fl 02 . 0 033 . 0 1 1 = = δ F l 1 l 2 d F B A C R R R R R R R L E A l l R dx x E A R dx E x A R R l l l R l l l R R 2 1 2 2 2 ) / 1 ln( 1 2 1 1 2 1 1 + - = - = - = + + δ E A l R F R L 1 1 ) ( - = δ R L R L x R F R R F R F - = = - + - = 0 d E A l l R E A l R F d R R R L = + - - = + 2 1 2 1 1 ) /
This is the end of the preview. Sign up to access the rest of the 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