а. Determine the critical load for each member. b. Calculate the factor of safety (F.S.) of the whole frame against buckling. с. At what value of P will the frame start to have a buckled member?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Subject : Mechanics of Deformable Bodies

Problem I. The loaded steel framing shown consists of bars 1, 2, and 3 with their corresponding flexural rigidity,
EI. The leftmost side is clamped (fixed support), the opposite side hinged, and a roller support at the middle. If each
bar may be subjected to Euler buckling and a = 3 m,
Note: Joints where members meet can be treated as pin. Refer to the given table for values of P and I1.
211 = I2
GIVEN
P (kN) 1 (x10° mm*)
P
176.0
4.137
EI2
a
EI
(1)
3
2a
a →- a →|
а.
Determine the critical load for each member.
b.
Calculate the factor of safety (F.S.) of the whole frame against buckling.
с.
At what value of P will the frame start to have a buckled member?
Transcribed Image Text:Problem I. The loaded steel framing shown consists of bars 1, 2, and 3 with their corresponding flexural rigidity, EI. The leftmost side is clamped (fixed support), the opposite side hinged, and a roller support at the middle. If each bar may be subjected to Euler buckling and a = 3 m, Note: Joints where members meet can be treated as pin. Refer to the given table for values of P and I1. 211 = I2 GIVEN P (kN) 1 (x10° mm*) P 176.0 4.137 EI2 a EI (1) 3 2a a →- a →| а. Determine the critical load for each member. b. Calculate the factor of safety (F.S.) of the whole frame against buckling. с. At what value of P will the frame start to have a buckled member?
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