Q2. 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, Calculate the vertical deflection at Point B. c) 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. 0.5 m B F = 2kN C 2 m Figure Q2: Structure schematic and cross-section 100 mm 100 mm

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.6.7P: A simple beam AB is loaded as shown in the figure. Calculate the required section modulus S if ^aibw...
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Q2. 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,
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
C
2m
Figure Q2: Structure schematic and cross-section
100 mm
100 mm
Transcribed Image Text:Q2. 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, 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 C 2m Figure Q2: Structure schematic and cross-section 100 mm 100 mm
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