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. ii. iii. 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. iv. Draw the deflected shape of the beam due to loading V. Determine the equation of the elastic curve for the cantilever beam The deflection at B, and free end vi. vii. The slope at the free end Assume that El is constant for the beam. 100 mm 10 mm 200 mm 12 mm 250 mm 12 mm
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. ii. iii. 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. iv. Draw the deflected shape of the beam due to loading V. Determine the equation of the elastic curve for the cantilever beam The deflection at B, and free end vi. vii. The slope at the free end Assume that El is constant for the beam. 100 mm 10 mm 200 mm 12 mm 250 mm 12 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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