Please answer part 7 of the question

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Please answer part 7 of the question

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
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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