(a) Square Beam AB having the circular hollow cross-sectionshown in Figure Q1a and it isloaded as shown in in Figure Q1b. If the beam material density is8500kg/m3.i) Draw the freebody diagram for the beam for the beamii) Obtain the equations for shear force in each segment of theasbeamiii) Draw the shear force diagramiv) Obtain the equations for bending moment develop for eachsegment of the beamv) Draw the bending moment diagram for the beamvi) Calculate the maximum bending stress developed.(g=9.81m/s²)ф15сm20cm20cmFigure Q1a3kNmB3m2mFigure Q1bdo (b) part only(b)i) Select a beam from standard rolled steel beams to replaceabove beam (Part1 (a)) and Justify your selectionii) A 5m high both end pin supported beam has the cross-section of Figure Q1a. Calculate the maximum axial loadthat can be applied on the column. Also select a beamcross section from standard rolled steel cross section toreplace the above column

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|(a) Square Beam AB having the circular hollow cross-section as shown in Figure Q1a and it is loaded as shown in in Figure Q1b. If the beam material density is 8500kg/m3. i) Draw the freebody diagram for the beam for the beam ii) Obtain the equations for shear force in each segment of the beam iii) Draw the shear force diagram

|(a) Square Beam AB having the circular hollow cross-section as shown in Figure Q1a and it is loaded as shown in in Figure Q1b. If the beam material density is 8500kg/m3. i) Draw the freebody diagram for the beam for the beam ii) Obtain the equations for shear force in each segment of the beam iii) Draw the shear force diagram

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

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

(a) Square Beam AB having the circular hollow cross-section
shown in Figure Q1a and it is
loaded as shown in in Figure Q1b. If the beam material density is
8500kg/m3.
i) Draw the freebody diagram for the beam for the beam
ii) Obtain the equations for shear force in each segment of the
as
beam
iii) Draw the shear force diagram
iv) Obtain the equations for bending moment develop for each
segment of the beam
v) Draw the bending moment diagram for the beam
vi) Calculate the maximum bending stress developed.
(g=9.81m/s²)
ф15сm
20cm
20cm
Figure Q1a
3kNm
B
3m
2m
Figure Q1b
do (b) part only
(b)
i) Select a beam from standard rolled steel beams to replace
above beam (Part1 (a)) and Justify your selection
ii) A 5m high both end pin supported beam has the cross-
section of Figure Q1a. Calculate the maximum axial load
that can be applied on the column. Also select a beam
cross section from standard rolled steel cross section to
replace the above column

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