Z A flexible supported beam, see sketch, is vertically loaded by a force F1 in distance d in pos. z-direction and a force F2 in distance L-d in neg. z-direction, see sketch. The beam is made of aluminum and has a profile of a hollow triangle with the wall thickness of 4 mm. d F₁ d. L F₂ Sketch of the loaded beam Data: L = 3 m, d = 0.6 m, 26 40 Sketch of the beam profile dimensions in mm F1 = F2 = 100 N, E = 70 000 N/mm² 22.6 34.6 c) Sketch the bending line into the grid on the right side: → d) The maximum Bending Moment (in position x = d) is Mbmax = 36 Nm. Determine the maximum Bending Stress in this position, including whether it is tension or compression. (Hint: The yield stress of pure aluminum is approx.. 40 N/mm²) [mm] -3 -2 -1 0 1 2 3 0.6 1.5 2.4 3.0 [m]

Z A flexible supported beam, see sketch, is vertically loaded by a force F1 in distance d in pos. z-direction and a force F2 in distance L-d in neg. z-direction, see sketch. The beam is made of aluminum and has a profile of a hollow triangle with the wall thickness of 4 mm. d F₁ d. L F₂ Sketch of the loaded beam Data: L = 3 m, d = 0.6 m, 26 40 Sketch of the beam profile dimensions in mm F1 = F2 = 100 N, E = 70 000 N/mm² 22.6 34.6 c) Sketch the bending line into the grid on the right side: → d) The maximum Bending Moment (in position x = d) is Mbmax = 36 Nm. Determine the maximum Bending Stress in this position, including whether it is tension or compression. (Hint: The yield stress of pure aluminum is approx.. 40 N/mm²) [mm] -3 -2 -1 0 1 2 3 0.6 1.5 2.4 3.0 [m]

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure)....

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