13.10.2014
Mak 312 Homework 3
Due Date: 20.10.2014, 17:30
(ETU HIDRO ZA06 Hüseyin Çetintürk or Bilal Burak DOĞAN)
Q-1) (20P) Derive specific Euler Formula for the long columns having;
a) Round cross sections.
b) Rectangular cross sections.
Q-2) (20P) A two member pin-connected structure supports a concentrated load P at joint B as
shown in Figure 1.1. Calculate the largest load P that may be applied with a factor of safety n.
Given:
n=3,
E=240 GPa
Assumption: Buckling occurs in the plane of the structure.
Figure 1.1
Q-3) (20P) A simple truss in which all members have the same axial rigidity AE is loaded as
shown in Figure 1.2. Calculate the diameter d necessary for;
a) The bar AB.
b) The bar BC.
Given:
E=240 GPa,
Sy= 220 MPa.
Assumption: Buckling occurs in the plane of the truss. The Euler Formula applies.
Figure 1.2
Q-4) (20P) A structure that consists of the beam AB and the column CD is supported and
loaded as shown in Figure 1.3. What is the largest load F that may be applied?
Given: The member CD is a round steel bar with E= 210 GPa
Design Assumption: Failure is due to buckling only. Use the Euler Formula with a
factor of safety n=2.
Figure 1.3
Q-5) (30P) A W360 x 216 rolled-steel column with built-in ends in braced at midpoint C, as
depicted in Figure 1.4. Calculate the allowable axial load P.
Given: E= 205 GPa, Sy=270 MPa.
Assumptions: Bracing acts as a simple support in the xy plane.
Figure 1.4
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13.10.2014 Mak 312 Homework 3 Due Date: 20.10.2014, 17:30