eci130-w03-exam_soln

eci130-w03-exam_soln - ECI 130 - Winter 03 - Holland...

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ECI 130 - Winter 03 - Holland 1/7 Midterm (Open Book, Open Notes) Name: Problem 1 (25 points) Problem 2 (25 points) Problem 3 (20 points) TOTAL (70 points)
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ECI 130 - Winter 03 - Holland 2/7 Midterm (Open Book, Open Notes) Name: 1. Beam AB supports a distributed load as shown and rests at the center of beam CD. Using either the Moment Area method or the Conjugate Beam method determine the deflection at point B. E and I are constant throughout. (25 pts) Indicate directions. Solve for support reactions on AB Σ M A = 0: (200 kN)(5 m) - (B y )(10 m) = 0 B y = 100 kN Solve for support reactions on CD Moment Diagram CD Σ M B = 0: - (100 kN)(5 m) + (C y )(10 m) = 0 C y = 50 kN Elastic Curve Moment Area Geometry B = 1/2 t D/C – t B/C or B = t D/B (symmetric geometry and load) 20 kN/m A B 5 m C D 5 m 5 m B y 200 5 5 x A y D y 100 5 5 C y 250 5 5 625 x 625 t D/C t B/C B t D/B B
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ECI 130 - Winter 03 - Holland 3/7 Midterm (Open Book, Open Notes) Name: Moment Area Method t EI DC EI / =+ () = 1 625 625 5 6250 kN • m m 2 t EI BC EI / .
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eci130-w03-exam_soln - ECI 130 - Winter 03 - Holland...

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