Question 3: (recommended time - 30 minutes) Draw the shear force and bending moment diagrams for the beam given below. Determine the maximum bending moment in segment AB and its location from point A. Neglect the weight of the beam. Answer by following steps a to f, below. Ay 40 kN/m By 20 kN B 150 kN·m 8 m 3 m a) Determine the support reactions at points A and B using the FBD of the entire beam. FOAx=0 EM=0 +(By x8) (20 × 11)-(160 y 5, 3)-150-0 MB-0 By = 152,915 (Ay-8) + (160 x 2,66) - 150-60 Ay = 27,083 ↑ Ay Ax K5,3m 8m اد 160 b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,025 Segment 10 12 SF 27,063 160 20 -5, उक्त Segment 152,915 Bending c) Express the shear force and bending moment as functions of x (the reference coordinate system is placed at point A) for segment AB and determine the shear force and bending moment at the points located just right of point A and just left of point B. Draw the FBD of the segment.
Question 3: (recommended time - 30 minutes) Draw the shear force and bending moment diagrams for the beam given below. Determine the maximum bending moment in segment AB and its location from point A. Neglect the weight of the beam. Answer by following steps a to f, below. Ay 40 kN/m By 20 kN B 150 kN·m 8 m 3 m a) Determine the support reactions at points A and B using the FBD of the entire beam. FOAx=0 EM=0 +(By x8) (20 × 11)-(160 y 5, 3)-150-0 MB-0 By = 152,915 (Ay-8) + (160 x 2,66) - 150-60 Ay = 27,083 ↑ Ay Ax K5,3m 8m اد 160 b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,025 Segment 10 12 SF 27,063 160 20 -5, उक्त Segment 152,915 Bending c) Express the shear force and bending moment as functions of x (the reference coordinate system is placed at point A) for segment AB and determine the shear force and bending moment at the points located just right of point A and just left of point B. Draw the FBD of the segment.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.11P: The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the...
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