(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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.13P: A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure)....

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A beam of length L is designed to support a uniform load of intensity q (see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is qL2/8. However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced. Determine the distance a between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity q0= q at mid-span (see Fig. b).
(a) Square Beam AB having the circular hollow cross-section as shown in Figure Qla 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 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/s?) ф15сm 20cm 20cm Figure Qla 3kNm A B 3m 2m Figure Q1b | (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 Qla. 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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(a) Square Beam AB having the circular hollow cross-section as shown in Figure Q4a and it is loaded as shown in in Figure Qlb. If the beam material density is 8500kg/m. i) Draw the freebody diagram for the beam for the beam ii) Obtain the equations for shear force in each segment of the beam i) Calculate the maximum bending stress developed. iv) Select a beam from standard rolled steel beams to replace above beam (a) and Justify your selection v) A 5m high both end pin supported beam has the cross-section of Figure Qla. 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 g=9.81m/s) $15cm 20cm 20cm Figure Qla 3kNm A 3m 2m Figure Qlb
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FIGURE PS-55 25 K 15 K 6 ft 4 ft 3.0K/ft 4 Use the free body diagram pproach shown in Sections 5-3 through 5-5 to determin the internal shearing force and bending moment al any speecified point in a beam. nd bending moneat diagrams using the guidelines pre- sented in Section 5-10.
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