ever beam consists of two sections, the first is a straight section, AB, of length, L, and the second is a curved section, BC, with a radius of a. The elastic modulus, E, is constant. The beam has a rectangular cross-section of length b (width and height of the cross-section are both equal to b). Disregard the width of the beam and use centreline dimensions when making calculations.

ever beam consists of two sections, the first is a straight section, AB, of length, L, and the second is a curved section, BC, with a radius of a. The elastic modulus, E, is constant. The beam has a rectangular cross-section of length b (width and height of the cross-section are both equal to b). Disregard the width of the beam and use centreline dimensions when making calculations.

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 cantilever beam consists of two sections, the first is a straight section, AB, of length, L, and the
second is a curved section, BC, with a radius of a. The elastic modulus, E, is constant. The beam has a
rectangular cross-section of length b (width and height of the cross-section are both equal to b).
Disregard the width of the beam and use centreline dimensions when making calculations.
A
L
B
a
a) Use energy methods to calculate the vertical deflection of point C
P
O

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Step 1: Calculation moment at section at member AB & BC

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Use energy methods to calculate the horizontal deflection of point C

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