MAE_101-Quiz_2-solution

MAE_101-Quiz_2-solution - MAE 101 Statics and Strength of...

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Unformatted text preview: MAE 101. Statics and Strength of Materials © G. E. Orient 2006 1 Quiz 2 - Solution 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 . 033 . 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...
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MAE_101-Quiz_2-solution - MAE 101 Statics and Strength of...

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