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