1: The cantilever beam below is subjected to external distributed loadings and forces between theendpoints and it is in equilibrium. The left hand endpoint A is hanging free and the right hand endpoint B is built in. Youmay assume that no external couple moments are acting on the overhanging part of the beam.The figure is not to scale.4 m0.5 m |(a)The shear force diagram of the beam is shown below; V (x) = -3(x – 2.5)2 + 3 for 2.5 < a < 3.5.Draw the complete free-body diagram of the beam, showing all the external forces, distributed loadings, and supportreactions.V (kN)I (m)1.52.53.5-1(b)Draw the bending moment diagram of the beam.Note that the area between V and the a-axis on the interval [2.5, 3.5] is 2.(c)Draw the free-body diagram of the part of the beam between a = 3.5 and a = 4, i.e. the part CB.

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1: The cantilever beam below is subjected to external distributed loadings and forces between the endpoints and it is in equilibrium. The left hand endpoint A is hanging free and the right hand endpoint B is built in. You may assume that no external couple moments are acting on the overhanging part of the beam. The figure is not to scale. 0.5 m C B (a) The shear force diagram of the beam is shown below; V (2) = -3(a – 2.5)2 +3 for 2.5

1: The cantilever beam below is subjected to external distributed loadings and forces between the endpoints and it is in equilibrium. The left hand endpoint A is hanging free and the right hand endpoint B is built in. You may assume that no external couple moments are acting on the overhanging part of the beam. The figure is not to scale. 0.5 m C B (a) The shear force diagram of the beam is shown below; V (2) = -3(a – 2.5)2 +3 for 2.5

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

1: The cantilever beam below is subjected to external distributed loadings and forces between the
endpoints and it is in equilibrium. The left hand endpoint A is hanging free and the right hand endpoint B is built in. You
may assume that no external couple moments are acting on the overhanging part of the beam.
The figure is not to scale.
4 m
0.5 m |
(a)
The shear force diagram of the beam is shown below; V (x) = -3(x – 2.5)2 + 3 for 2.5 < a < 3.5.
Draw the complete free-body diagram of the beam, showing all the external forces, distributed loadings, and support
reactions.
V (kN)
I (m)
1.5
2.5
3.5
-1
(b)
Draw the bending moment diagram of the beam.
Note that the area between V and the a-axis on the interval [2.5, 3.5] is 2.
(c)
Draw the free-body diagram of the part of the beam between a = 3.5 and a = 4, i.e. the part CB.

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