a) The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure Qla. The endsegments have cross-sectional area A1 = 800 mm and length L1 = 200 mm. The middle segment hascross-sectional area A2 = 1500 mm and length L2 250 mm. Loads Pg and Pc are equal to 30 kN and20 kN, respectively.A1A2A1PBDВL2-Figure Qlai) Determine the reactions Ra and Rp at the fixed supports.ii) Determine the compressive axial force FBc in the middle segment of the bar.iii) Determine the displacement of C with respect to B due to the compressive load.iv) If all the lengths and area are double, what happen to your answers in (i), (ii) and (iii)

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consists oI three prislmatic segm s-sectional area A1 = 800 mm and leng Az = 1500 mm² and length L2 = 250 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.4.12P: The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end...

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a) The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure Qla. The end
segments have cross-sectional area A1 = 800 mm and length L1 = 200 mm. The middle segment has
cross-sectional area A2 = 1500 mm and length L2 250 mm. Loads Pg and Pc are equal to 30 kN and
20 kN, respectively.
A1
A2
A1
PB
D
В
L2-
Figure Qla
i) Determine the reactions Ra and Rp at the fixed supports.
ii) Determine the compressive axial force FBc in the middle segment of the bar.
iii) Determine the displacement of C with respect to B due to the compressive load.
iv) If all the lengths and area are double, what happen to your answers in (i), (ii) and (iii)

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