The beam shown below carries point and linearly distributed loads and is supported by a pin on the left and a roller on the right. Note that rollers can be assumed to react to either tensile or compressive loads. a) For each beam, draw all necessary free-body diagrams using the method of sections and find functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of each beam, measured from the left end of each beam, as shown in the figure. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of each beam. Make sure you use the numerical values of the reactions at the supports to get your expressions. Note that "k" stands for "kip" (1000 lbs) in the labels for the point loads and distributed loads. b) Plot V(x) and M(x) using the expressions you obtained above using a computer program. You will lose points if hand-drawn plots are submitted.

The beam shown below carries point and linearly distributed loads and is supported by a pin on the left and a roller on the right. Note that rollers can be assumed to react to either tensile or compressive loads. a) For each beam, draw all necessary free-body diagrams using the method of sections and find functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of each beam, measured from the left end of each beam, as shown in the figure. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of each beam. Make sure you use the numerical values of the reactions at the supports to get your expressions. Note that "k" stands for "kip" (1000 lbs) in the labels for the point loads and distributed loads. b) Plot V(x) and M(x) using the expressions you obtained above using a computer program. You will lose points if hand-drawn plots are submitted.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

Question

Do not do the matlab part

The beam shown below carries point and linearly distributed loads and is supported by a pin on
the left and a roller on the right. Note that rollers can be assumed to react to either tensile or
compressive loads.
a) For each beam, draw all necessary free-body diagrams using the method of sections and
find functions for the internal shear force (V(x)) and bending moment (M(x)) due to the
external forces where x is a horizontal coordinate along the length of each beam, measured
from the left end of each beam, as shown in the figure. Your expression(s) must allow to
obtain internal reactions for 0≤x≤L, where L is the length of each beam. Make sure you
use the numerical values of the reactions at the supports to get your expressions. Note that
“k” stands for “kip” (1000 lbs) in the labels for the point loads and distributed loads.
b) Plot V(x) and M(x) using the expressions you obtained above using a computer program.
You will lose points if hand-drawn plots are submitted.
6 k
X
-2'-
3'
09
8 k/ft
-3'
6 k/ft

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