Question

Question 1: (25 Points) A wood beam AB supporting two concentrated loads P (see Fig.) has a rectangular cross section of width b=130 mm and height h=150 mm (see Fig. b). The distance from each end of the beam to the nearest load is a=1.0 m. Determine the maximum permissible value Pmax of the loads if the allowable stress in bending ?allow = 12 MPa and the allowable stress in horizontal shear is ?allow = 1.2 MPa. (Disregard the weight of the beam itself)

          Question 1: (25 Points)
A wood beam AB supporting two concentrated loads P (see Fig.) has a rectangular cross section of width b=130 mm and height h=150 mm (see Fig. b). The distance from each end of the beam to the nearest load is a=1.0 m.
Determine the maximum permissible value Pmax of the loads if the allowable stress in bending ?allow = 12 MPa and the allowable stress in horizontal shear is ?allow = 1.2 MPa.
(Disregard the weight of the beam itself)

Question 1: (25 Points)
A wood beam AB supporting two concentrated loads P (see Fig.) has a rectangular cross section of width b=130 mm and height h=150 mm (see Fig. b). The distance from each end of the beam to the nearest load is a=1.0 m.
Determine the maximum permissible value Pmax of the loads if the allowable stress in bending ?allow = 12 MPa and the allowable stress in horizontal shear is ?allow = 1.2 MPa.
(Disregard the weight of the beam itself)

Added by Dylan G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Arjun Choudhary

03/15/2022

Step 1

The moment of inertia for a rectangular section is given by: I = (b * h^3) / 12 Substitute b = 130 mm and h = 150 mm: I = (130 * 150^3) / 12 = 5.625 * 10^8 mm^4 Show more…

Show all steps

Thanks for your feedback!

Question 1: A wood beam AB supporting two concentrated loads P (see Fig.) has a rectangular cross section of width b=130 mm and height h=150 mm (see Fig. b). The distance from each end of the beam to the nearest load is a=1.0 m. Determine the maximum permissible value Pmax of the loads if the allowable stress in bending ̃σallow = 12 MPa and the allowable stress in horizontal shear is τallow = 1.2 MPa. (Disregard the weight of the beam itself)