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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UNICARD
Worksheet 10- Shear Force and Bending Moment Diagrams
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
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.
For OAx = 0
EM-0
+(By x8) (20 × 11)-(160 × 5,5)-150-0
By-152915
- (Ay +8) + (160 × 2,66)-150-60
=
Ay 27.083
Ay
Ax
5,3m
8m
160
20kN
150.
b) How many segments are required to draw the shear and bending moment diagrams for the
given beam? Name the segments.
2 Segments
5x
27,095
لاينا
Segment
SF
27,063
160
20
-5,3
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.
6| Page
Transcribed Image Text:UNICARD Worksheet 10- Shear Force and Bending Moment Diagrams 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 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. For OAx = 0 EM-0 +(By x8) (20 × 11)-(160 × 5,5)-150-0 By-152915 - (Ay +8) + (160 × 2,66)-150-60 = Ay 27.083 Ay Ax 5,3m 8m 160 20kN 150. b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,095 لاينا Segment SF 27,063 160 20 -5,3 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. 6| Page
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