Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 - Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 3000N/m instead. Take L= the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = Vpin 47000L+9PL 54 ( 61000L+9PL 54 The reaction at the Roller = Vroller = N and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider the beam in the picture below:
7kN/m
5kN/m
P N/m
Section 1
Section 2
Section 3
- L/3
L/3
L/3
Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead.
Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2
Assume:
The reaction at the Pin = Vnin
47000L+9PL
)N
%3D
54
The reaction at the Roller = Vroller =
61000L+9PL
54
N
and that both reactions act vertically upwards.
a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams.
b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum.
c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams.
d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum.
e) Find an expression for the internal moment for Section 3. Show all working and any relevant free body diagrams.
f) What is the maximum magnitude of the internal moment for Section 3? Mark sure you prove that the value you calculate is the maximum.
g) What is maximum magnitude of the internal moment in the whole beam?
Transcribed Image Text:Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = Vnin 47000L+9PL )N %3D 54 The reaction at the Roller = Vroller = 61000L+9PL 54 N and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an expression for the internal moment for Section 3. Show all working and any relevant free body diagrams. f) What is the maximum magnitude of the internal moment for Section 3? Mark sure you prove that the value you calculate is the maximum. g) What is maximum magnitude of the internal moment in the whole beam?
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