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 eachbar 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 = I2GIVENP (kN) 1 (x10° mm*)P176.04.137EI2aEI(1)32aa →- 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?

Note:- 1. here modulus od elasticity is Not given so I took general value As 215 Gpa. 2. Here,…

Answered: а. Determine the critical load for each…

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?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.9.30P

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Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

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?

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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