Question

OF M A F12KN نررر منر ه يع تی 7CP VIEW

The beam is 132kg/m

What is the average shear stress on each pin?

Total mass = 132kg/m * 12m = 1584 kg

P = 15,539 N explain how

Reaction 1 = 7770 N + 300 N , Va = Ra = 8070 N

Reaction 2 = 7770 N + 900 N , Vb = Rb = 8670 N

Show the steps for calculating the static reactions.

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What is the smallest diameter A36 steel pin that can be used?

A36yield = 250 MPa -> $\sigma = \frac{F}{A}$   $A= \frac{F}{\sigma} \rightarrow \frac{8670 N}{250*10^6}=.00035m^2$

$A= \frac{\pi D^2}{4}$   $D= \sqrt{}\frac{A*4}{\pi}\rightarrow \sqrt{\frac{.000035*4}{\pi }}=.0067m * 1000=6.7mm$  

What is the smallest diameter 2014 Aluminum pin that can be used with a 1.5 Factor of Safety (F.S.)?

8670 N * 1.5 = 13005 N   $A=\frac{F}{\sigma }\rightarrow \frac{13005N}{172*10^6}=.0000756m^2$

$D= \sqrt{}\frac{A*4}{\pi}\rightarrow \sqrt{\frac{.0000756*4}{\pi }}=.0098m * 1000=9.8mm$

Answer 1

45 600 RB 1.2 KN (19210) L Lis8xg) Torul ut= 15840 N <15.8YUN HA 1.2cosuso RBlos 60' P T Rosinbo VA 1.2 sinuso {=0 H = 1.2 cosus the cos 60" Efroo Von 12 sin uso + RB Sin 60 = 15.84 VA + RB sin 60 = 16.69 VA + 0.86 RB = 16.69.6

Talling moment about C +3.96x1.5 - Fashy cox 30 VAX 9 +41-88x4.5), VA= 47.52 + 2.55RB VA= 0.28883 + 5.28 using this in (1) 0.288 Rot 0.86688 = 16.69-5.28 /Ro=9.887 N .. verreal action = Po Sin 600 - 8562N | VA= 0-288 RB + 5.28=8127N |