02-02ChapGere.0022

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Problem 2.4-14 A rigid bar ABCD is pinned at point B and supported by springs at A and D (see figure). The springs at A and D have stiffnesses k 1 5 10 kN/m and k 2 5 25 kN/m, respectively, and the dimensions a , b , and c are 250 mm, 500 mm, and 200 mm, respectively. A load P acts at point C . If the angle of rotation of the bar due to the action of the load P is limited to 3°, what is the maximum permissible load P max ? Solution 2.4-14 Rigid bar supported by springs SECTION 2.4 Statically Indeterminate Structures 101 AB C P D c = 200 mm k 1 = 10 kN/m k 2 = 25 kN/m a = 250 mm b = 500 mm N UMERICAL DATA a 5 250 mm b 5 500 mm c 5 200 mm k 1 5 10 kN/m k 2 5 25 kN/m F REE - BODY DIAGRAM AND DISPLACEMENT DIAGRAM E QUATION OF EQUILIBRIUM (Eq. 1) © M B 5 0 `~ F A ( a ) 2 P ( c ) 1 F D ( b ) 5 0 u max 5 3 85 p 60 rad E QUATION OF COMPATIBILITY (Eq. 2) F ORCE - DISPLACEMENT RELATIONS
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Tech.

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