A beam with a length of 8 meters is known to carry both distributed and point loads as well as one point moment applied at the end of the beam, i.e., x = 8 m. These loads produce the shear force diagram shown in Figure 2.1: 80 {4,80} 60 60 40 40 20 20 Shear Force [kN] - {0,0} {0,-10} {2,0} -20 -40 {2,-50} {4,-40} 4 x [m] {8,40} {6,40} {8,0} 00 Figure 2.1. Shear force diagram for loaded beam. Coordinates, as in {x position, shear force} are provided for each location where a significant change in the diagram occurs. Using the information in the diagram, find the corresponding bending moment diagram and use it, along with the shear force diagram given, to deduce the loads being applied to beam and show them in a free body diagram of the beam. Show and justify your calculations to obtain the bending moment diagram and label each significant location with its corresponding value of bending moment. Furthermore, provide a brief narrative of how you used both diagrams to deduce the loads applied to the beam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A beam with a length of 8 meters is known to carry both distributed and point loads as well as one
point moment applied at the end of the beam, i.e., x = 8 m. These loads produce the shear force
diagram shown in Figure 2.1:
80
{4,80}
60
60
40
40
20
20
Shear Force [kN]
- {0,0}
{0,-10}
{2,0}
-20
-40
{2,-50}
{4,-40}
4
x [m]
{8,40}
{6,40}
{8,0}
00
Figure 2.1. Shear force diagram for loaded beam.
Coordinates, as in {x position, shear force} are provided for each location where a significant
change in the diagram occurs. Using the information in the diagram, find the corresponding
bending moment diagram and use it, along with the shear force diagram given, to deduce the loads
being applied to beam and show them in a free body diagram of the beam. Show and justify your
calculations to obtain the bending moment diagram and label each significant location with its
corresponding value of bending moment. Furthermore, provide a brief narrative of how you used
both diagrams to deduce the loads applied to the beam.
Transcribed Image Text:A beam with a length of 8 meters is known to carry both distributed and point loads as well as one point moment applied at the end of the beam, i.e., x = 8 m. These loads produce the shear force diagram shown in Figure 2.1: 80 {4,80} 60 60 40 40 20 20 Shear Force [kN] - {0,0} {0,-10} {2,0} -20 -40 {2,-50} {4,-40} 4 x [m] {8,40} {6,40} {8,0} 00 Figure 2.1. Shear force diagram for loaded beam. Coordinates, as in {x position, shear force} are provided for each location where a significant change in the diagram occurs. Using the information in the diagram, find the corresponding bending moment diagram and use it, along with the shear force diagram given, to deduce the loads being applied to beam and show them in a free body diagram of the beam. Show and justify your calculations to obtain the bending moment diagram and label each significant location with its corresponding value of bending moment. Furthermore, provide a brief narrative of how you used both diagrams to deduce the loads applied to the beam.
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