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help with forces question PLEASE!!!!
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Posted by: martinedwards ®

04/15/2009, 15:52:28

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Hello you clever people!!

25 years ago I did A-level Physics and I vaguely remember vector diagrams for loaded beams.

I'm now teaching technology to GCSE level and I need to work out the following and I'm totally stumped!!

I haven't used the scientific functions on a calculator since then, and according to the book I have it's all sin/tan etc.

A symmetrical triangular span.
2m wide, 0.7m tall 35 degree angles either side with a vertical strut up the center. (all pin jointed) and supported at the outer corners. a weight of 180kg is hung in the centre. this will HOPEFULLY give an idea of the layout.......

/I\
/ I \
/ I \
/ I \
/ I \
/35 I 35\
_____________
I
I
180kg

I need the magnitude & nature of forces in each bar.

the two horizontals are in tension, the vertical is in tension & the two diagonals are in compression, right?

the safety factor of 6 I understand and I can work out the deformation using young's modulous etc, but the vectors have me lost.

anyone feel generous to help out an inumerate idiot?

thanks!!










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: help with forces question PLEASE!!!!
: help with forces question PLEASE!!!! -- martinedwards Post Reply Top of thread Engineering Forum
Posted by: martinedwards ®

04/15/2009, 15:54:31

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aw, the diagram didn't work!!

think a wide triangle with a vertical splitting it in two and the weight hanging from the bottom of the vertical.......










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: : help with forces question PLEASE!!!!
: : help with forces question PLEASE!!!! -- martinedwards Post Reply Top of thread Engineering Forum
Posted by: bpd ®

04/15/2009, 16:28:07

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Here is the deal. At the point where the load is connected, two -pinned- connections are horizontal, one is vertical=>, the force goes to the vertical member=> 180 kg(*g) N of force in the vertical member up top. 1766 Newts

Up top, the forces sum to zero=> the vertical component of force in each diagonal is 180kg(*g)/2=883 Newts

Calculate the total force based on the vertical force in diagonal member=> (Fvert=Ftot*sin(35))all diagonal member. Therefore
Ftot=1539 Newts (compression)for each diagonal member.

Sum at corner => Use horizontal component of diagonal, which will some up to zero with horizontal component of horizontal member.

Fhor=Ftot cos(35)=1539*.819=1261Newts, which is your force of tension in horizontal member









Modified by bpd at Wed, Apr 15, 2009, 16:30:05


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