P=80 N q=10 N/m B 100 느=40 m --=40 m 2 2

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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As shown in the figure below, simple support beams have distribution and concentration loads. Ask for the following. (Front-power diagram and bending moment)
Complete all information on the track together)
a) Draw a shear force line.
b) Draw a bend-moment lead.

P=80 N
q=10 N/m
B
100
느=40 m
--=40 m
2
2
Transcribed Image Text:P=80 N q=10 N/m B 100 느=40 m --=40 m 2 2
Expert Solution
Step 1

The given beam is shown below –

Mechanical Engineering homework question answer, step 1, image 1

Calculating reaction at support at A and B,

Mechanical Engineering homework question answer, step 1, image 2

Mechanical Engineering homework question answer, step 1, image 3

 

 

Step 2

Calculation for Shear Force Diagram,

Mechanical Engineering homework question answer, step 2, image 1

The shear stress will be 0 at section CB obtained by putting the above equation to 0.

Mechanical Engineering homework question answer, step 2, image 2

 

Step 3

Now drawing the SFD as shown below –

Mechanical Engineering homework question answer, step 3, image 1

Calculating the bending moment at the different section as follows –

Mechanical Engineering homework question answer, step 3, image 2

For section, CB consider at a distance x from C

Mechanical Engineering homework question answer, step 3, image 3

For maximum bending moment differentiate the above equation with respect to x and put it to 0.

Mechanical Engineering homework question answer, step 3, image 4

 

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