**38. A square wood platform, 2.4 m X 2.4 m in area, rests on masonry walls (see figure). The deck of the platform supported on two 2.4 m long beams. The beams have 100 mm X 150 mm nominal dimensions (actual dimensions 97 is constructed of 50 mm nominal thickness tongue-and-groove planks (actual thickness 47 mm; see Appendix F) The planks are designed to support a uniformly distributed load w (kN/m) acting over the entire top surface When analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over mm X 147 mm). of the platform. The allowable bending stress for the planks is 17 MPa and the allowable shear stress is 0.7 MPa. the top surfaces of the supporting beams. (a) Determine the allowable platform load w1 (kN/m2) based upon the bending stress in the planks. (b) Determine the allowable platform load w2 (kN/m“) based upon the shear stress in the (c) Which of the preceding values becomes the allowable load wallow on the platform? (Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.) 2.4 m 2.4 m Beam Wall
**38. A square wood platform, 2.4 m X 2.4 m in area, rests on masonry walls (see figure). The deck of the platform supported on two 2.4 m long beams. The beams have 100 mm X 150 mm nominal dimensions (actual dimensions 97 is constructed of 50 mm nominal thickness tongue-and-groove planks (actual thickness 47 mm; see Appendix F) The planks are designed to support a uniformly distributed load w (kN/m) acting over the entire top surface When analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over mm X 147 mm). of the platform. The allowable bending stress for the planks is 17 MPa and the allowable shear stress is 0.7 MPa. the top surfaces of the supporting beams. (a) Determine the allowable platform load w1 (kN/m2) based upon the bending stress in the planks. (b) Determine the allowable platform load w2 (kN/m“) based upon the shear stress in the (c) Which of the preceding values becomes the allowable load wallow on the platform? (Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.) 2.4 m 2.4 m Beam Wall
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(b) Determine the allowable platform load w2 (kN/m?) based upon the shear stress in the planks.
(a) Determine the allowable platform load wi (kN/m²) based upon the bending stress in the planks.
distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside
of the platform. The allowable bending stress for the planks is 17 MPa and the allowable shear stress is 0.7 MPa.
When analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over
supported on two 2.4 m long beams. The beams have 100 mm × 150 mm nominal dimensions (actual dimensions 97
**38. A square wood platform, 2.4 m X 2.4 m in area, rests on masonry walls (see figure). The deck of the platform
is constructed of 50 mm nominal thickness tongue-and-groove planks (actual thickness 47 mm; see Appendix F)
(Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are
(kN/m²) acting over the entire top sut
mm X 147 mm).
The planks are designed to support a uniformly distributed load w
the top surfaces of the supporting beams.
(c) Which of the preceding values becomes the allowable load wallow on the platform?
faces of the supporting beams.)
2.4 m
2.4 m
Beam
Wall
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