For the beam and loading shown, use discontinuity functions to compute(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).(b) the deflection of the beam at C.Assume LAB = 210 mm, LBC = 140 mm, LCD = 120 mm, LDE = 260 mm, MB = 200 N-m, P = 1080 N and a constant value of EI = 590 × 106 N-mm2 for the beam. For the beam and loading shown, use discontinuity functions to compute(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).(b) the deflection of the beam at C.Assume LAR = 210 mm, LBC = 140 mm, LCD = 120 mm, LDE = 260 mm, Mg = 200 N-m, P = 1080 N and a constant value of El = 590 × 106 N-mm2 for the beam.PMBCDELABLBCLCDLDEAnswers:(a) Ocrad(b) Vсmm

Answered: Image /qna-images/answer/ca1c9206-edc7-429c-98ec-73b06f590f52.jpg

Answered: a) the slope of the beam at C (positive…

a) the slope of the beam at C (positive if counterclockwise and negative if clockwise). (b) the deflection of the beam at C.

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 10.4.25P: A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the...

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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

For the beam and loading shown, use discontinuity functions to compute

(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).
(b) the deflection of the beam at C.

Assume L_AB= 210 mm, L_BC= 140 mm, L_CD= 120 mm, L_DE= 260 mm, M_B= 200 N-m, P = 1080 N and a constant value of EI = 590 × 10⁶ N-mm² for the beam.

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