A beam fixed at both ends, as shown in the Fig, has a F=20 kN concentrated load applied at the centre of the span. The beam structure is supported from the bottom, by a linear spring, with k=400 N/cm. In addition, the beam structure is a attached to the adjacent vertical walls through two truss elements, with cross-sectional area of A= 11.55 x10-3 cm². Calculate the lateral (vertical) deflection and slope at the middle (Note: Iz is the same as ). Take E= 20x106 N/cm?, for all elements, and I= 2500 cm4 1 2 3 4 12 EI 6 ΕΙ. 12 ΕΙ 6El , L 6 ΕΙ. L 6 EI L' 12 El L? 2Εl. 300 30° 4Εl. (1) E500 cm- (2) 500 cm [k] = L. 6EI 12 EI 6EI 3 L 6 EI L² 2 EI L 6EI L? 4 EI 4 L
A beam fixed at both ends, as shown in the Fig, has a F=20 kN concentrated load applied at the centre of the span. The beam structure is supported from the bottom, by a linear spring, with k=400 N/cm. In addition, the beam structure is a attached to the adjacent vertical walls through two truss elements, with cross-sectional area of A= 11.55 x10-3 cm². Calculate the lateral (vertical) deflection and slope at the middle (Note: Iz is the same as ). Take E= 20x106 N/cm?, for all elements, and I= 2500 cm4 1 2 3 4 12 EI 6 ΕΙ. 12 ΕΙ 6El , L 6 ΕΙ. L 6 EI L' 12 El L? 2Εl. 300 30° 4Εl. (1) E500 cm- (2) 500 cm [k] = L. 6EI 12 EI 6EI 3 L 6 EI L² 2 EI L 6EI L? 4 EI 4 L
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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