A vertical bar consists of three prismatic segments A₁ (between A and B), A₂ (between B and D), and A3 (between D and E) with cross-sectional areas of 6000 mm², 5000 mm², and 4000 mm², respectively. The bar is made of steel with E = 200 GPa. Ignore the weight of the bar, and determine: (a) Reaction force at the fixed support. (b) Axial force between A and B. (c) Axial force between B and C. (d) Axial force between C and D: (e) Axial force between D and E.. (f) Calculate the displacements at points B, D, and E. (Show work below in detail; No points will be given if detailed derivations were not provided.) 500 mm PB = 50 N B 250 mm + Pc-250 N 250 mm D 500 mm E

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A vertical bar consists of three prismatic segments A₁ (between A and B), A₂ (between B and D), and A3
(between D and E) with cross-sectional areas of 6000 mm², 5000 mm², and 4000 mm², respectively. The bar
is made of steel with E = 200 GPa. Ignore the weight of the bar, and determine:
(a) Reaction force at the fixed support.
(b) Axial force between A and B.
(c) Axial force between B and C.
(d) Axial force between C and D.
(e) Axial force between D and E..
(f) Calculate the displacements at points B, D, and E.
(Show work below in detail; No points will be given if detailed derivations were not provided.)
500 mm
PB = 50 N
B
250 mm
+
Pc=250 N
250 mm
D
500 mm
E
PE=350 N
Transcribed Image Text:A vertical bar consists of three prismatic segments A₁ (between A and B), A₂ (between B and D), and A3 (between D and E) with cross-sectional areas of 6000 mm², 5000 mm², and 4000 mm², respectively. The bar is made of steel with E = 200 GPa. Ignore the weight of the bar, and determine: (a) Reaction force at the fixed support. (b) Axial force between A and B. (c) Axial force between B and C. (d) Axial force between C and D. (e) Axial force between D and E.. (f) Calculate the displacements at points B, D, and E. (Show work below in detail; No points will be given if detailed derivations were not provided.) 500 mm PB = 50 N B 250 mm + Pc=250 N 250 mm D 500 mm E PE=350 N
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