This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Problem # l (50 points) An Lshaped bar. with equal arms equal to I, is placed in a horizontal plane and ﬁxed to a wall at one end. The bar has Speciﬁc weight 1!, Y0ung's modulus E and shear modulus G.
The bar crosssection is a circle with diameter d. Determine the maximum length of the arms I, so that (a) the maximum tensile stress in the bar is less than on and the maximum shear stress in the bar is less than 0.509
(b) the vertical diSplacement of the tip is less than 59 is 9 Answer the two questions separately and consider d, y, E ,G, on and 50 as given. Simplify
the answers using the relationship 5:93.50. Bmcﬁéﬂj
ﬁ+ A  A 1 (f ‘R1 33?:
MI Lig k _ 323.. 75— "\7_
6x“ 7;“ ”“23?” ’R ”d? 0‘
L
6"!
7;” 1.. if: _,. 235i @
“8"? d
%
(82 : O 1&2. .4:*’—I \L— : ’25:;
6mm; : 6 d +~ 56+ Cl
A“ Q)
[[2an if 63%— l
6WCXX 4 60 OJ~A& (Cf”MAY < in 60 Problem # 2 (25 points) A simply supported beam is designed so that it can carry the force F applied at its center.
The beam crosssection is made of three identical rectangular plates welded into an I“
beam. Your task is to reinforce the beam so that it can carry the force 2P. (a) Is the reinforcement shoWn below adequate for this task? Support your answer
with appmpriate analysis. Assume that .9 >34. 4L
7F Qt
(shoe. (b) The additiOnal plates are glued to the original beam Determine the shear strength
of the glue necessary for carrying the load 2P. N a; “2' \2
so, am WW)“ be” Problem # 3 (25 points) Determine the maximum tensile and compressive forces and the horizontal and vertical
disPIacements of the tip due to a temperature increase AT of the truss shown below. The
coefﬁcient of thermal expansion of the truss material is CL and Young’s modulus is E. On 5{ — M ((2 1” U. £05300 +
6]: 370m?“ M : 30(AT’6 Ar .— élfé/Qié‘rf ...
View
Full Document
 Fall '08
 KennethM.Liechti

Click to edit the document details