# 19-1, MC300, LSN 3, SG Problem Solutions

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Class Problem 1. A simply supported beam shown is pin supported at A and roller supported
at C , and loaded as shown . Draw a complete free-body-diagram of the beam and solve for the
reactions at A and C.
lOlb
Gin
rf21
8
F;= le'~(~)~(p'b
F;-:-1o'bt~_F~1t.&gt; AJt.._. ,____,... - - - - - - - - - t
~
&lt;~~~~~~~~~~~~~
1:1 Z-f1A- = &cent;
f(.,,,.,,.,i =-Fa.-,,, x cl.L
~
B'b
- _g&lt;(_,1~)
~.Z.F;-:&cent;
~
A~-~
+ c~ (1r,1,,) =P
c~-== 3 1M, t
8'~
~===========:::-AtJS
3lb
+f{'-&cent;
A~= 5
16
_
1'
.l\N.5
&middot; ~(\f-i'(;!f!,
/
Class Problem 3. A canteliver beam is fix supported at Band is loaded as shown. Draw a
complete free-body-diagram of the beam and solve for the reactions at B.
Applied Moment
50 lb-in
(
B
24in
H(J,Jit
.t:================t1~ Sx
f&amp;I
'~!Class
\ o/
Problem 2. A jib crane shown is pin supported at A and with a cable from B to C, and is
loaded as shown. Draw a complete free-body-diagram of the beam and solve for the reactions
at A and the tension in cable BC.
1#1
~ ~ ~ ( t(lb/,-&quot;) (9,-,)
F&amp; -'j =~ {'9;b)
~C- )( =- hx: ( ;)%'7)
fic-j : :- ~.. ;;l-s- lb
h3c_ = ~c-:; ( ::lfo/a)
fj&lt;- == s:as 1~ (T)
A-.v_s
```