1
MAE157 – Lightweight structures (Winter 08)
Homework Assignment #1
Due in class on Tuesday, Jan 22
nd
Solve the five following problems. For each problem, provide a detailed explanation of
all the steps involved.
Problem 1
Solve for the internal forces in all the members of the truss in Fig. 1.
(Hint
: To check the accuracy of your answer, solve for the reaction forces first (using
equilibrium of the entire truss), and then impose equilibrium at all nodes. The final three
equations that you write will be identically satisfied if your result is correct.)
Problem 2
The two trusses of Fig. 2 ((a) and (b)) are subject to the same external loads. For both,
a=15cm, F=1000N
and all the members have circular crosssection, with diameter,
d=7mm
. All members of both trusses are made of an Aluminum alloy, with yield strength
!
Y
=
300 MPa
(assumed the same in tension and compression) and Young’s modulus,
E
=
70 GPa
. Calculate the internal forces in the members and check whether trusses (a)
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 Winter '08
 VALDEVIT
 Force, 1 mm, 2 mM, 7mm, 15cm

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