The cantilever beam depicted below is rigidly attached to a wall at point A, which coincides with the coordinate system's origin. Point B near the beam's free end has coordinates (1.3, 0.3, 2.4) m. The vector 7₁ = 12+12+1k m is perpendicular to the beam axis AB and oriented parallel to the width dimension of the cross-section, as shown. The vector 72 = 29.1î+1.2ĵ – 14.72 m is perpendicular to the beam axis AB and r₁. The force P applied to point B of the beam has the direction angles 0 144°, 0y = 72°, 0% = 60°. = Questions: a Assuming P = 1000 N Compute the force moment about ri and r2. b Previous experiments on similar beams made of the same material have shown that the beam will rupture and be torn from the wall when the absolute value of the moment of P about r₁ is 4000 Nm, or when the absolute value of the moment of P about r2 is 6000 Nm. Determine the magnitude of P that will cause this beam to fail.

The cantilever beam depicted below is rigidly attached to a wall at point A, which coincides with the coordinate system's origin. Point B near the beam's free end has coordinates (1.3, 0.3, 2.4) m. The vector 7₁ = 12+12+1k m is perpendicular to the beam axis AB and oriented parallel to the width dimension of the cross-section, as shown. The vector 72 = 29.1î+1.2ĵ – 14.72 m is perpendicular to the beam axis AB and r₁. The force P applied to point B of the beam has the direction angles 0 144°, 0y = 72°, 0% = 60°. = Questions: a Assuming P = 1000 N Compute the force moment about ri and r2. b Previous experiments on similar beams made of the same material have shown that the beam will rupture and be torn from the wall when the absolute value of the moment of P about r₁ is 4000 Nm, or when the absolute value of the moment of P about r2 is 6000 Nm. Determine the magnitude of P that will cause this beam to fail.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.3.19P: Find expressions for shear force V and moment M at x = x0of beam AB in terms of peak load intensity...

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