Question

A wooden beam is fabricated from three boards, which are fastened together with screws, as shown. The screws are uniformly spaced along the span of the beam at intervals of 260 mm. In service, the beam will be positioned so that bending occurs about the z axis. The maximum bending moment in the beam is Mz =ー3.54 kN-m, and the maximum shear force in the beam is vy =-3.67 kN. Assume s=260 mm, b1 = 33 mm, b2 = 200 mm, dl = 180 mm, d2 40 mm. Determine: (a) the magnitude of the maximum horizontal shear stress Trax in the beam. (b) the shear force F in each screw. (c) the magnitude of the maximum bending stress ơmax in the beam. Screws d2 Answers: (a) Tmax (b) F- (c) Ơmax- MPa N per screw MPa

Answer 1

given the Aue 26onm ,32mm tto m uo 200 332 200

12 200) (40 2 moru 578 ร65.9 %

6 40122 2 21010X200

16101212