Results 1 to 6 of 6

Thread: Bending moments and shear force diagrams

Hybrid View

Previous Post Previous Post   Next Post Next Post
  1. #1

    Bending moments and shear force diagrams

    Draw the SFD and BMD diagram for the fallowing simply supported beams. Find the maximum deflection and state if is hogging or sagging.




    Calculations:
    For SFD Diagram
    From the left side: SF=70-10x, x=distance
    \[
    {SF}_1=70-10\times{}0
    \]
    \[
    {SF}_1=70kN
    \]
    \[
    {SF}_2=70-10\times{}1
    \]
    \[
    {SF}_2=60kN
    \]
    \[
    {SF}_3=70-10\times{}2
    \]
    \[
    {SF}_3=50kN
    \]
    \[
    {SF}_{3(output)}=50-40=10kN
    \]
    \[
    {SF}_4=70-10\times{}4
    \]
    \[
    {SF}_4=0kN
    \]
    In point of \[{SF}_{4 }\] force shifts its magnitude.
    From right side: SF=10x-50=distance
    \[
    {SF}_5=10\times{}0-50
    \]
    Load force from top gives -40kN to \[{SF}_{4 }\] on the output of liner force on the diagram.
    \[
    {SF}_5=-50kN
    \]
    \[
    {SF}_6=10\times{}2-50
    \]
    \[
    {SF}_6=-30kN
    \]
    \[
    {SF}_7=10\times{}4-50
    \]
    \[
    {SF}_7=-10
    \]
    \[
    {SF}_8=10\times{}5-50
    \]
    \[
    {SF}_8=0kN
    \]
    For BMD diagram
    From the left side: \[BM=70Śr-(10x^2)/2\]
    \[
    {BM}_1=70\times{}1-\frac{10\times{}1}{2}
    \]
    \[
    {BM}_1=65kNm
    \]
    \[
    {BM}_2=70\times{}2-\frac{10\times{}4}{2}
    \]
    \[
    {BM}_2=120kNm
    \]
    Calculation from right side:
    \[
    {BM}_3=50\times{}2-\frac{10\times{}4}{2}
    \]
    \[
    {BM}_3=80kNm
    \]
    \[
    {BM}_4=50\times{}4-\frac{10\times{}16}{2}
    \]
    \[
    {BM}_4=120kNm
    \]
    Maximum deflection:
    \[
    {BM}_5=50\times{}5-\frac{10\times{}25}{2}
    \]
    \[
    {BM}_5=125kNm
    \]

  2. #2
    Aron
    Guest
    Can you, do some calculation as well? Please.

  3. #3
    Post has been updated. You can find useful data about how to count SFD and BMD diagrams.

  4. #4
    doktrintr
    Guest
    You can make your own examples with android app given below. It finds shear forces and moments functions by using the method of sections and draws diagrams of these functions for isostatic straight beam.

    https://play.google.com/store/apps/d...=com.hakan.mnq

    Click image for larger version. 

Name:	device-2014-06-03-121031-10inch.jpg 
Views:	4 
Size:	9.5 KB 
ID:	116
    Click image for larger version. 

Name:	device-2014-06-03-121049-10inch.jpg 
Views:	2 
Size:	7.1 KB 
ID:	117

  5. #5
    Good, application. I will add this app to the mobile applications under software.

  6. #6
    nort0n
    Guest
    Thanks, for useful link. I going to start my uni course in September so, I need this sort of stuff going trough mechanical engineering.

Similar Threads

  1. 4. Centrifugal Force
    By Anthon in forum Mechanical Science
    Replies: 0
    Last Post: 03-04-2015, 05:26 PM
  2. 3. Centrifugal Force
    By Anthon in forum Mechanical Science
    Replies: 0
    Last Post: 03-04-2015, 05:17 PM
  3. 2. Centrifugal Force
    By Anthon in forum Mechanical Science
    Replies: 0
    Last Post: 03-04-2015, 05:10 PM
  4. 1. Centrifugal Force
    By Anthon in forum Mechanical Science
    Replies: 0
    Last Post: 03-04-2015, 05:07 PM
  5. Longitudional and shear stress
    By Matthew in forum Mechanical Science
    Replies: 0
    Last Post: 05-17-2014, 03:39 AM

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
About us
Website refrigeration.engineering has been designed for you. That is our passion to connect people with common interest in engendering. We wish you to have good time on the board.
Join us