aminated wood beam consists of eight 2.25 in. × 5.25-in. planks glued together to form a section b = 5.25 in. wide by d = 18 in. deep, as shown. If the allowable strength of the glue in shear is 110 psi, determine (a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 18 ft. (b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 51 in. from the left support. Assume that the beam is subjected to the load w determined in part (a). (c) the maximum tension bending stress in the beam when the load of part (a) is applied. Determine the maximum allowable shear force in the beam. Answer: Vmax = lb
aminated wood beam consists of eight 2.25 in. × 5.25-in. planks glued together to form a section b = 5.25 in. wide by d = 18 in. deep, as shown. If the allowable strength of the glue in shear is 110 psi, determine (a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 18 ft. (b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 51 in. from the left support. Assume that the beam is subjected to the load w determined in part (a). (c) the maximum tension bending stress in the beam when the load of part (a) is applied. Determine the maximum allowable shear force in the beam. Answer: Vmax = lb
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A laminated wood beam consists of eight 2.25 in. × 5.25-in. planks glued together to form a section b = 5.25 in. wide by d = 18 in. deep, as shown. If the allowable strength of the glue in shear is 110 psi, determine
(a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 18 ft.
(b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 51 in. from the left support. Assume that the beam is subjected to the load w determined in part (a).
(c) the maximum tension bending stress in the beam when the load of part (a) is applied.
Determine the maximum allowable shear force in the beam.
Answer: Vmax = lb
Answer: Vmax = lb
Determine the maximum allowable distributed load, w.
Answer: wmax = lb/ft
Answer: wmax = lb/ft
Determine the shear force, V, in the beam at x = 51 in. assuming the beam is subjected to the distributed load wmax calculated in Part 4.
Answer: V = lb
Answer: V = lb
Determine the first moment of the area at H.
Answer: QH = in.3
Answer: QH = in.3
Determine the shear stress at H assuming the beam is subjected to the distributed load wmax calculated in Part 4.
Answer: τH= psi
Answer: τH= psi
Determine the maximum moment magnitude at any location in the beam when the beam is subjected to the distributed load wmax calculated.
Answer: Mmax = lb-ft
Answer: Mmax = lb-ft
Determine the maximum tension bending stress at any location in the beam when the beam is subjected to the distributed load wmax calculated in Part 4.
Answer: σx= psi
Answer: σx= psi
Transcribed Image Text:1 ((ур.)
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