A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Om /Tm of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 4 m, P = 60 kN, Tm= 960 kPa, and om=12 MPa. L/2- L/2 - B
A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Om /Tm of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 4 m, P = 60 kN, Tm= 960 kPa, and om=12 MPa. L/2- L/2 - B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 4
A timber beam AB of length L and rectangular cross section carries a single concentrated load P
at its midpoint C.
(a) Show that the ratio Om /Tm of the maximum values of the shearing and normal stresses in the
beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam.
(b) Determine the depth h and the width b of the beam, knowing that L = 4 m, P= 60 kN, Tm =
960 kPa, and ơm=12 MPa.
L/2-
L/2
A
В
II
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