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eci130-s02-exam1_soln-s

eci130-s02-exam1_soln-s - ECI 130 Spring 02 Holland...

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ECI 130 - Spring 02 - Holland 6/9 Midterm (Open Book, Open Notes) Name: Section: 4 ft 3 ft 2 ft C 2 ft A B D C 8 12 8 32 8 18 16 2 ft 4/3 ft 1 ft 4. A hinged beam supports a 5 and 8 k load as shown. Using the either the moment area method or the conjugate beam method, solve in terms of EI, 1. The slope at B (5 pts) 2. The deflection at C (10 pts) 3. The slope at D (15 pts) Indicate directions Elastic Curve Free-Body Diagrams Equilibrium - member ABC M M C M A A y A = ( ) ( ) + ( ) = = 0 5 4 7 0 8 : (ft - lbs) ft - lbs (ccw) Equilibrium - member CD M D D C y y = ( )( ) + ( ) = = 0 8 2 4 0 4 : (ft - lbs) k (acts down) F C D C y y y y = + = = 0 8 0 4 : (lbs) lbs (acts down) Moment Diagrams 4 ft 8 k 5 k A B C 3 ft D hinge 2 ft 2 ft A x M A 4 ft 3 ft 2 ft A y C 8 k 2 ft A B D D y 5 k C y C y C x C 8 k A B D 5 k tan B tan D

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ECI 130 - Spring 02 - Holland 7/9 Midterm (Open Book, Open Notes) Name: Section: Moment Area Method Geometry θ θ B B A = / C C A t = / θ D C D C A t t = / / 4 1. Slope at B θ θ B B A A B EI M dx EI EI = = = + ( ) = / 1 1 32 8 40 (ccw) 2. Deflection at C C C A C A t x EI M dx EI EI = = = ( ) + ( ) + ( ) [ ] = / .
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