A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied force, F. Using Castigliano's theorem, for the system: a) Identify and label all reaction loads, b) State the expressions for the bending moments for each section with respect to the integration length coordinate, c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the problem, if the structure was built-in at the left hand side and simply supported on the right hand side.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The
structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied
force, F. Using Castigliano's theorem, for the system:
a) Identify and label all reaction loads,
b) State the expressions for the bending moments for each section with respect to the
integration length coordinate,
c) Calculate the vertical deflection at Point B.
d) Briefly describe how you would solve the problem, if the structure was built-in at the left
hand side and simply supported on the right hand side.
A
0.5 m
B
F = 2kN
IC
2m
D
Figure Q2: Structure schematic and cross-section
100 mm
100 mm
Transcribed Image Text:A solid structure of rectangular cross-section is simply supported, as shown in Figure Q2. The structure is made from steel with Youngs Modulus of 200GPa and is loaded by a centrally applied force, F. Using Castigliano's theorem, for the system: a) Identify and label all reaction loads, b) State the expressions for the bending moments for each section with respect to the integration length coordinate, c) Calculate the vertical deflection at Point B. d) Briefly describe how you would solve the problem, if the structure was built-in at the left hand side and simply supported on the right hand side. A 0.5 m B F = 2kN IC 2m D Figure Q2: Structure schematic and cross-section 100 mm 100 mm
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