a) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d, = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 → d2 Load Į b1 Support b3 → b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 KN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use /xx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1 L

a) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d, = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 → d2 Load Į b1 Support b3 → b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 KN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use /xx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1 L

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

a) For the composite beam section in Figure Q6a, calculate the second moment of area
about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm,
b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal
places.
b2 →→
d2
Load
Į
b1
Support
b3
b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross-
section and a concentrated point load of 250 kN acting at the mid-point of the beam.
If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile
stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced
by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam
about its x-x centroid axis. Assume that the weight of the beam is zero and that the
beam section is solid and uniform along its entire length. Give your answer in N/mm²
to 2 decimal places.
d1
A
B

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