A wooden beam is fabricated from three boards, which are fastened together with screws, as shown. The screws are uniformly spam along the span of the beam at intervals of 250 mm. In service, the beam will be positioned so that bending occurs about the z axis. T maximum bending moment in the beam is Mz-4.88 kN-m, and the maximum shear force in the beam is Vy-3.4 kN. Assume s 25 mm, by 23 mm, b₂100 mm, d₁-210 mm. d₂-32 mm. Determine: (a) the magnitude of the maximum horizontal shear stress fax in the beam. (b) the shear force F in each screw. (c) the magnitude of the maximum bending stress in the beam. E Screws
A wooden beam is fabricated from three boards, which are fastened together with screws, as shown. The screws are uniformly spam along the span of the beam at intervals of 250 mm. In service, the beam will be positioned so that bending occurs about the z axis. T maximum bending moment in the beam is Mz-4.88 kN-m, and the maximum shear force in the beam is Vy-3.4 kN. Assume s 25 mm, by 23 mm, b₂100 mm, d₁-210 mm. d₂-32 mm. Determine: (a) the magnitude of the maximum horizontal shear stress fax in the beam. (b) the shear force F in each screw. (c) the magnitude of the maximum bending stress in the beam. E Screws
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 250 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- -4.88 kN-m, and the maximum shear force in the beam is Vy=-3.4 kN. Assume s-250
mm, b. 23 mm, b₂100 mm, d₁-210 mm. d₂-32 mm. Determine:
(a) the magnitude of the maximum horizontal shear stress fax in the beam.
(b) the shear force F in each screw.
(c) the magnitude of the maximum bending stress max in the beam.
Answers:
(a) Fmax
(b) F-
(c) Omas
MPa.
N per screw.
MPa.
Screws
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