P P 12 mm 5.85 A D B C 48 mm 12 mm 96 mm 0.4 m 0.2 m 0.2 m Fig. P5.85 Determine the largest permissible value of P for the beam and loading shown, knowing that the allowable normal stress is +80 MPa in tension and -140 MPa in compression.
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Let $R_A$ and $R_D$ be the reactions at supports A and D, respectively. Since the beam is symmetrically loaded, $R_A = R_D$. The sum of vertical forces is: $2P - R_A - R_D = 0$ $2P - 2R_A = 0$ $R_A = R_D = P$ Show more…
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Adi S.
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)
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