A cantilever composite beam is formed by bonding together brass bar (Eß = 100 GPa) and aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1. Parameter x, y, and z are given by: x = last digit of your matrix number y = fifth digit of your matrix number z = fourth digit of your matrix number For example, a student with the matrix number CD200123 will have the values of 5x = 53, 4y = 42 and 2.z = 2.1. QI (a) Determine the centroid and the moment of inertia of the composite section. (b) Calculate the maximum tensile and compressive stresses in the brass and aluminium.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec...
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x=0

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z=2

Q1
A cantilever composite beam is formed by bonding together brass bar (EB = 100 GPa) and
aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1.
Parameter x, y, and z are given by:
x = last digit of your matrix number
y = fifth digit of your matrix number
z = fourth digit of your matrix number
For example, a student with the matrix number CD200123 will have the values of 5x = 53, 4y
= 42 and 2.z = 2.1.
(a)
Determine the centroid and the moment of inertia of the composite section.
(b)
Calculate the maximum tensile and compressive stresses in the brass and aluminium.
(c)
Calculate the radius of curvature of the beam.
brass,
5x mm
10 mm
20mm
4y mm
0.5(4y) mm
M=2.z kN.m
4y mm
aluminium
Figure Q1
Transcribed Image Text:Q1 A cantilever composite beam is formed by bonding together brass bar (EB = 100 GPa) and aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1. Parameter x, y, and z are given by: x = last digit of your matrix number y = fifth digit of your matrix number z = fourth digit of your matrix number For example, a student with the matrix number CD200123 will have the values of 5x = 53, 4y = 42 and 2.z = 2.1. (a) Determine the centroid and the moment of inertia of the composite section. (b) Calculate the maximum tensile and compressive stresses in the brass and aluminium. (c) Calculate the radius of curvature of the beam. brass, 5x mm 10 mm 20mm 4y mm 0.5(4y) mm M=2.z kN.m 4y mm aluminium Figure Q1
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