3. A beam is loaded as shown. El is constant. The vertical reactions at B and C are equal to 80kN. For items a, b and c, use the coordinate system shown, with x=0 at point A. a. Derive the moment function, M(x), in terms of El, using Macaulay Functions. b. Derive the slope function, 8(x) in terms of El. c. Derive the deflection function, y(x) in terms of El. The modulus of elasticity is 200 GPa. d. Determine the required moment of inertia, I, if i. The absolute value of the maximum deflection should not exceed 6mm; and ii. The absolute value of the slope should not exceed 0.01 radians at А. 40 kN 40 kN 10 kN/m 2 m 8 m 2 m

3. A beam is loaded as shown. El is constant. The vertical reactions at B and C are equal to 80kN. For items a, b and c, use the coordinate system shown, with x=0 at point A. a. Derive the moment function, M(x), in terms of El, using Macaulay Functions. b. Derive the slope function, 8(x) in terms of El. c. Derive the deflection function, y(x) in terms of El. The modulus of elasticity is 200 GPa. d. Determine the required moment of inertia, I, if i. The absolute value of the maximum deflection should not exceed 6mm; and ii. The absolute value of the slope should not exceed 0.01 radians at А. 40 kN 40 kN 10 kN/m 2 m 8 m 2 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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