Question

The cantilever beam shown in the figure is subjected to a concentrated load at point B. The stresses acting at point H on the beam are to be determined. H Cross section For this analysis, use the following values: Beam and Load. a = 1.75 m b=0.30 m @= 60 degrees P = 25 KN Cross-sectional Dimensions d=250 mm bp = 125 mm ty=7 mm tw = 7 mm C= 30 mm (Note: The load P applied at Bacts in the x-y plane.) Enter the following section properties needed to calculate the stresses at point H. A= 3402 mm2 4 mm Iz" i Q(for point H) = mm 3

Answer 1

FBD mu fie N 0.3m 25605600 = 12.5KN 1125m 25KN 25 Sin60 - 2165 KN equilibrium equations N - 1215kn tension EFX=0 V= 21165kn {fy=0 EMHED m +21.65 X1.75-12-5X03 = 0 ma -34,14 kN-m Hogging 125mm C8055-Section 7mm -7mm 250-249 |: 236mm 2-- 250mm I 30mm 118.30 H =88 mm let Part 0 tension as the & Compression as-ve. A= 250 X125 - 236 X (125-7) A- 3402 mm2 Iz = 125X2503 12 12 Iz = 33508566 2 - (125-1) 42363 mmy Q = m Q = moment of area about NA 88x7 x (30+88) +125X7 X (118+27 Q = 151896.5 mm on = N + А Y= 30mm 12,5X103 3414 X106x30 Tx = 3402 1648265 33508566 TH= -26.89 mpa compression

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