m, flange thickness ta Dy two layers of unidirectional composite material of thickness te = 4 m subjected to an axial force N1 moduli for the aluminum and unidirectional composite are Ea CDo rocnactively ( Comnute the axial and bending stiffnesses of the cros = 12 mm, and web thickness tw 5 mm. The E %3D 600 kN and bending moment M3 = 120 k 73 GE %3D

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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i,
t.
i,
h
t
まt。
b
Fig. 5.12. Cross-section of a reinforced rect-
angular box beam.
Transcribed Image Text:i, t. i, h t まt。 b Fig. 5.12. Cross-section of a reinforced rect- angular box beam.
Problem 5.3. Bending of reinforced box beam
Figure 5.12 depicts an aluminum rectangular box beam of height h = 0.30 m, width b = 0.15
m, flange thickness ta = 12 mm, and web thickness t..
hy two lavers of unidirectional composite material of thickness tc = 4 mm. The section is
subjected to an axial force N1 = 600 kN and bending moment M3
moduli for the aluminum and unidirectional composite are Ea = 73 GPa and Ec = 140
%3D
5 mm. The beam is reinforced
%3D
= 120 kN m. The Young's
%3D
GPa, respectively. (1) Compute the axial and bending stiffnesses of the cross-section. (2) Find
the distribution of axial stress over the cross-section and sketch it along the perimeter of the
section. (3) Find the magnitude and location of the maximum axial stress in the aluminum
and composite layers. (4) Assume the applied loads grow in a proportional manner, i.e. the
applied loads are AN¡ and AMS. If the allowable stress for the aluminum and unidirectional
composite are oalow
Toading factor, AMax. (5) Sketch the distribution of axial strain along the perimeter of the
cross-section, and describe its distribution over the entire cross-section.
= 400 MPa and oallow = 1500 MPa, respectively, find the maximum
Transcribed Image Text:Problem 5.3. Bending of reinforced box beam Figure 5.12 depicts an aluminum rectangular box beam of height h = 0.30 m, width b = 0.15 m, flange thickness ta = 12 mm, and web thickness t.. hy two lavers of unidirectional composite material of thickness tc = 4 mm. The section is subjected to an axial force N1 = 600 kN and bending moment M3 moduli for the aluminum and unidirectional composite are Ea = 73 GPa and Ec = 140 %3D 5 mm. The beam is reinforced %3D = 120 kN m. The Young's %3D GPa, respectively. (1) Compute the axial and bending stiffnesses of the cross-section. (2) Find the distribution of axial stress over the cross-section and sketch it along the perimeter of the section. (3) Find the magnitude and location of the maximum axial stress in the aluminum and composite layers. (4) Assume the applied loads grow in a proportional manner, i.e. the applied loads are AN¡ and AMS. If the allowable stress for the aluminum and unidirectional composite are oalow Toading factor, AMax. (5) Sketch the distribution of axial strain along the perimeter of the cross-section, and describe its distribution over the entire cross-section. = 400 MPa and oallow = 1500 MPa, respectively, find the maximum
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