Part 1: Calculate the design ultimate bending moment M' The cantilever beam, shown in Figure 1, carries a uniformly distributed live load Q of 3 kN/m and a uniformly distributed superimposed dead load G of 2 kN/m, in addition to its self-weight (density is 2400 kg/m³). A point load P of 10 kN is permanently applied in B (see Figure 1). The width and the total depth of the beam are 200 mm and 400 mm respectively. The beam span L is equal to 3m. Consider the appropriate load factors and combinations at Ultimate Limit State to calculate the design ultimate bending moment M".

Part 1: Calculate the design ultimate bending moment M' The cantilever beam, shown in Figure 1, carries a uniformly distributed live load Q of 3 kN/m and a uniformly distributed superimposed dead load G of 2 kN/m, in addition to its self-weight (density is 2400 kg/m³). A point load P of 10 kN is permanently applied in B (see Figure 1). The width and the total depth of the beam are 200 mm and 400 mm respectively. The beam span L is equal to 3m. Consider the appropriate load factors and combinations at Ultimate Limit State to calculate the design ultimate bending moment M".

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

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Part 1: Calculate the design ultimate bending moment M*
The cantilever beam, shown in Figure 1, carries a uniformly distributed live load Q of 3 kN/m
and a uniformly distributed superimposed dead load G of 2 kN/m, in addition to its self-weight
(density is 2400 kg/m³). A point load P of 10 kN is permanently applied in B (see Figure 1).
The width and the total depth of the beam are 200 mm and 400 mm respectively. The beam
span L is equal to 3m. Consider the appropriate load factors and combinations at Ultimate
Limit State to calculate the design ultimate bending moment M".
400 mm
200 mm
W
Figure 1: Cantilever beam subject to uniform distributed loads and point load.

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