Problem 1 A cantilever beam with rectangular cross section as shown in Fig. 1 is subjected to an end loading F at the fr
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- Problem 1 A Cantilever Beam With Rectangular Cross Section As Shown In Fig 1 Is Subjected To An End Loading F At The Fr 1 (55.22 KiB) Viewed 63 times
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Problem 1 A cantilever beam with rectangular cross section as shown in Fig. 1 is subjected to an end loading F at the free end. From solid mechanics the stress state at all points in the beam is described by - My Oxr(x,y,2) = 1 -VQ Ory], y, z) = Ib Oyy = 0: = r = oyz = 0 (1) where M = M(x) is the internal bending moment, V = V(x) is the internal shear load, I is the moment of inertia about the z centroidal axis and = 2 $ [9)" a) (15 points) Show that the differential equations of equilibrium are satisfied at all points in the beam by the solid mechanics solution if body forces are negligible. b)(5 points) Check the equilibrium conditions on the boundary on all surfaces except the wall and determine whether the solid mechanics solution them. c)(5 points) Determine the shear, moment and axial stress resultants at the wall (x=0). 수 1-6-1 h Figure 1: Beam for Problem 1