4. A wooden beam is fabricated from one 2 × 10 and two 2 × 4 pieces of dimension lumber to form the I-beam cross section shown in Figure. The flanges of the beam are fastened to the web with nails that can safely transmit a force of 200 lb in direct 4 in. 2 in. Nails 2 in. shear. If the beam is simply supported and carries a 5,000-lb load at the center of a 10-ft span, determine: (a) the horizontal force transferred from each flange to the web in a 12-in. long segment of the beam. (b) the maximum spacing s (along the length of the beam) 10 in. required for the nails. (c) the maximum horizontal shear stress in the I-beam. 2 in.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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4. A wooden beam is fabricated from one 2 × 10 and two 2 x 4 pieces of dimension
lumber to form the I-beam cross section shown in Figure. The flanges of the beam
are fastened to the web with nails that can safely transmit a force of 200 lb in direct
4 in.
shear. If the beam is simply supported and carries a 5,000-lb
load at the center of a 10-ft span, determine:
2 in.
Nails
2 in.
(a) the horizontal force transferred from each flange to the web
in a 12-in. long segment of the beam.
(b) the maximum spacing s (along the length of the beam)
10 in. required for the nails.
(c) the maximum horizontal shear stress in the I-beam.
2 in.
Transcribed Image Text:4. A wooden beam is fabricated from one 2 × 10 and two 2 x 4 pieces of dimension lumber to form the I-beam cross section shown in Figure. The flanges of the beam are fastened to the web with nails that can safely transmit a force of 200 lb in direct 4 in. shear. If the beam is simply supported and carries a 5,000-lb load at the center of a 10-ft span, determine: 2 in. Nails 2 in. (a) the horizontal force transferred from each flange to the web in a 12-in. long segment of the beam. (b) the maximum spacing s (along the length of the beam) 10 in. required for the nails. (c) the maximum horizontal shear stress in the I-beam. 2 in.
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