Rigid beam ABC is supported by a pinned connection at C and by an inclined strut that is pin-connected at B and D as shown. The strut is fabricated from two steel [E = 200 GPa] bars, which are each d= 75 mm wide and b= 15 mm thick. Between B and D, the bars are separated and connected by two spacer blocks, which are s = 30 mm thick. Assume that LAB= 0.95 m, LBc = 2.05 m, LcD = 1.55 m, P = 70 kN, The strut cross section is also shown. Determine (a) the compression force in strut BD that is created by the loads acting on the rigid beam. (b) the slenderness ratios for the strut about its strong and weak axes. (c) the minimum factor of safety in the strut with respect to buckling. Answers: (a) FBD= (b) (L/r)horz= LCD (L/r)vert = (c) FS= LAB i i i B spacer blocks- LBC (1) kN D Spacer block S b

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Rigid beam ABC is supported by a pinned connection at C and by an inclined strut that is pin-connected at B and D as shown. The strut
is fabricated from two steel [E = 200 GPa] bars, which are each d= 75 mm wide and b = 15 mm thick. Between B and D, the bars are
separated and connected by two spacer blocks, which are s = 30 mm thick. Assume that LAB = 0.95 m, Lgc = 2.05 m, LcD = 1.55 m, P = 70
kN, The strut cross section is also shown. Determine
(a) the compression force in strut BD that is created by the loads acting on the rigid beam.
(b) the slenderness ratios for the strut about its strong and weak axes.
(c) the minimum factor of safety in the strut with respect to buckling.
A
Answers:
(a) FBD =
LAB
LCD
(L/r)vert=
(c) FS=
(b) (L/r)horz = i
tel
B
spacer
blocks-
LBC
(1)
kN
D
Spacer block
b S b
Transcribed Image Text:Rigid beam ABC is supported by a pinned connection at C and by an inclined strut that is pin-connected at B and D as shown. The strut is fabricated from two steel [E = 200 GPa] bars, which are each d= 75 mm wide and b = 15 mm thick. Between B and D, the bars are separated and connected by two spacer blocks, which are s = 30 mm thick. Assume that LAB = 0.95 m, Lgc = 2.05 m, LcD = 1.55 m, P = 70 kN, The strut cross section is also shown. Determine (a) the compression force in strut BD that is created by the loads acting on the rigid beam. (b) the slenderness ratios for the strut about its strong and weak axes. (c) the minimum factor of safety in the strut with respect to buckling. A Answers: (a) FBD = LAB LCD (L/r)vert= (c) FS= (b) (L/r)horz = i tel B spacer blocks- LBC (1) kN D Spacer block b S b
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