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 100 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 = −4.84 kN-m, and the maximum shear force in the beam is Vy = −2.96 kN. Assume s=100 mm, b₁= 32 mm, b₂ = 220 mm, d₁ = 270 mm, d₂ = 21 mm. Determine:
(a) the magnitude of the maximum horizontal shear stress τmax in the beam.
(b) the shear force F in each screw.
(c) the magnitude of the maximum bending stress σmax in the beam.

Question 2 A wooden beam is fabricated from three boards, which are astened together with screws, as shown. The screws are uniform space a on ne span of the beam at inter a in mm, n service ne i am will be positioned so that bending occurs about the z axis. The aximu bending om ent in the beam is Mz- 4.84 kN-m, and the ㎜aximum shear force in the bea is Vy- 2.96 kN. Assu e s-100 m, b: -32 mm, 2 220 mm, d- 270 mm, d -21 mm. Determine (a) the magnitude of the maximum horizontal shear stress Tmax In the beam (b) the shear force F in each screw (c) the magnitude or the maximum bending stress ơıuas in the beam. Screws d2 b,

Answer 1

2* 220 m 2 2 2. r32 (270)2 L 220 X 212 22(270) 2 108-1756mm1 +em botton

Moment 의 ruha boad about 7-ana . 2. 2. 12. 2- 12 2 220 213 12

トト 2x 32x ( 270-108.5396) x 790-108.57% Omar 34243.411 6 mm2 자- (b) Conlax 6ottom boal (220) (108531) 32896 nm 42