A wooden beam is fabricated from one 2 x 10 and two 2 x 4 pieces of dimension lumber to form the I-beam cross section (b; = 4 in., tf = tw = 2 in., d, = 10 in.). The flanges of the beam are fastened to the web with nails that can safely transmit a force of 171 Ib in direct shear. If the beam is simply supported and carries a 980-lb load at the center of a 12-ft span, determine: (a) the horizontal force Fy transferred from each flange to the web in a 8-in.-long segment of the beam. (b) the maximum spacing s (along the length of the beam) required for the nails. (c) the maximum horizontal shear stress Tmax in the I-beam. bf ts dw Nails
A wooden beam is fabricated from one 2 x 10 and two 2 x 4 pieces of dimension lumber to form the I-beam cross section (b; = 4 in., tf = tw = 2 in., d, = 10 in.). The flanges of the beam are fastened to the web with nails that can safely transmit a force of 171 Ib in direct shear. If the beam is simply supported and carries a 980-lb load at the center of a 12-ft span, determine: (a) the horizontal force Fy transferred from each flange to the web in a 8-in.-long segment of the beam. (b) the maximum spacing s (along the length of the beam) required for the nails. (c) the maximum horizontal shear stress Tmax in the I-beam. bf ts dw Nails
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A wooden beam is fabricated from one 2 x 10 and two 2 x 4 pieces of dimension lumber to form the I-beam cross section (b; = 4 in., t = tw = 2 in., d, = 10 in.).
The flanges of the beam are fastened to the web with nails that can safely transmit a force of 171 Ib in direct shear. If the beam is simply supported and carries
a 980-lb load at the center of a 12-ft span, determine:
(a) the horizontal force F, transferred from each flange to the web in a 8-in.-long segment of the beam.
(b) the maximum spacing s (along the length of the beam) required for the nails.
(c) the maximum horizontal shear stress Tmax in the I-beam.
bf
dw
Nails
Answers:
(a) Fy =
Ib.
(b) s =
in.
(c) Tmax =
psi.
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