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...


Subject : Mechanics of Deformable Bodies


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

Extracted 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?

Jun 11, 2022
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