MAE_101-Quiz_3-solution - Quiz 3 Solution 1 MAE 101 Statics...

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MAE 101. Statics and Strength of Materials © G. E. Orient 2006 1 Quiz 3 - Solution
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MAE 101. Statics and Strength of Materials © G. E. Orient 2006 2 Problem 1 The bar BD is rigidly fixed to the beam ABC at B . Draw the shear force and bending moment diagrams for the beam ABC . Indicate the coordinates of key points. l 1 =8 ft, l 2 =10 ft, l 3 =2 ft, l 4 =4 ft, W=600 lb FBD, Global equilibrium l 1 l 2 l 3 W l 4 W T sinθ A x A y W A x A y T θ Tcosθ l 3 lb T W A A T W F lb T A T A F lb T T lb T T lb l l l W T Tl Tl Wl M y y y x x x y x A 225 sin 0 sin 1500 cos 0 cos 375 sin , 1500 cos ; 1546 cos sin 0 cos sin 3 1 2 3 1 2 ) ( = - = = + + - = = = = - = = = = = = + = = + + - = θ θ θ θ θ θ θ θ θ θ Statically equivalent to T -> Increase in V -> Drop in M 225 lb 600 lb 1800 ft-lb 1200 ft-lb
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MAE 101. Statics and Strength of Materials © G. E. Orient 2006 3 Consider a beam supported as depicted partially subjected to distributed load. (a) Draw the shear and moment diagrams indicating the coordinates of key points and the order of the curves. (b) Determine the maximum tensile and shear stress in the beam.
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