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 AB 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 MM C M AAy A =− () () + () = = 05 4 7 0 8 : (ft - lbs) ft - lbs (ccw) Equilibrium - member CD MD D Cy y = = 08 2 4 0 4 : k (acts down) FC D C yy y y + = = 0 4 : (lbs) lbs (acts down) Moment Diagrams 4 ft 8 k 5 k 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 D D y 5 k C y C y C x C 8 k 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 θθ BB A = / CC A t = / θ D CD CA tt = // 4 1. Slope at B A A B EI Mdx EI EI == = + () = / 11 32 8 40 (ccw) 2. Deflection at C A C A t x EI EI EI = + () +() [] = / . . 1 5 32 4 33 8 2 18 230 67 (up) 3. Slope at D D = 4 t x EI EI EI C D / =− 1 21 6 32 C 8 k AB D 5 k θ B/A tan D t C/A t C/D 2 ft 2 ft D EI EI + 32 230 67 4 65 67 .. (cw)
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ECI 130 - Spring 02 - Holland 8/9 Midterm (Open Book, Open Notes) Name: Section: Conjugate Beam Method Conjugate Beam with Loading x (1/EI) Note: EI constant, save until
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This note was uploaded on 03/24/2011 for the course ECI 130 taught by Professor Monti during the Spring '08 term at UC Davis.

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

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