i,t.i,htまt。bFig. 5.12. Cross-section of a reinforced rect-angular box beam. Problem 5.3. Bending of reinforced box beamFigure 5.12 depicts an aluminum rectangular box beam of height h = 0.30 m, width b = 0.15m, flange thickness ta = 12 mm, and web thickness t..hy two lavers of unidirectional composite material of thickness tc = 4 mm. The section issubjected to an axial force N1 = 600 kN and bending moment M3moduli for the aluminum and unidirectional composite are Ea = 73 GPa and Ec = 140%3D5 mm. The beam is reinforced%3D= 120 kN m. The Young's%3DGPa, respectively. (1) Compute the axial and bending stiffnesses of the cross-section. (2) Findthe distribution of axial stress over the cross-section and sketch it along the perimeter of thesection. (3) Find the magnitude and location of the maximum axial stress in the aluminumand composite layers. (4) Assume the applied loads grow in a proportional manner, i.e. theapplied loads are AN¡ and AMS. If the allowable stress for the aluminum and unidirectionalcomposite are oalowToading factor, AMax. (5) Sketch the distribution of axial strain along the perimeter of thecross-section, and describe its distribution over the entire cross-section.= 400 MPa and oallow = 1500 MPa, respectively, find the maximum

Answered: Image /qna-images/answer/1cecaee1-b35b-4bdd-ab15-17852431e662.jpg

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

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

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

100%

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

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