Problem 1: The 4-m cantilever beam supports a uniformly distributed load of w=25 kN/m at half of its span (2 m). The beam has an I-shaped cross-section with the dimensions provided below. Determine the following: i. The Bending Moment and Shear Force Diagram The geometric centroid and moment of inertia of the I-beam cross-section. The magnitude and location of the maximum bending stress within the beam. State whether it is in compression or tension. ii. iii.
Problem 1: The 4-m cantilever beam supports a uniformly distributed load of w=25 kN/m at half of its span (2 m). The beam has an I-shaped cross-section with the dimensions provided below. Determine the following: i. The Bending Moment and Shear Force Diagram The geometric centroid and moment of inertia of the I-beam cross-section. The magnitude and location of the maximum bending stress within the beam. State whether it is in compression or tension. ii. iii.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem 1: The 4-m cantilever beam supports a uniformly distributed load of w=25 kN/m at half of
its span (2 m). The beam has an I-shaped cross-section with the dimensions provided below. Determine
the following:
i. The Bending Moment and Shear Force Diagram
ii.
The geometric centroid and moment of inertia of the I-beam cross-section.
iii.
The magnitude and location of the maximum bending stress within the beam. State whether
it is in compression or tension.
Draw the deflected shape of the beam due to loading
Determine the equation of the elastic curve for the cantilever beam
The deflection at B, and free end
The slope at the free end
Assume that El is constant for the beam.
iv.
V.
vi.
vii.
100 mm
10 mm
200 mm
12 mm
250 mm
12 mm
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