scholarly journals Determination of the Axial Load and the Buckling Load of a Bar by the Vibration Method

1956 ◽  
Vol 22 (115) ◽  
pp. 123-125
Author(s):  
Daikichiro MORI
AIAA Journal ◽  
1970 ◽  
Vol 8 (12) ◽  
pp. 2274-2276 ◽  
Author(s):  
MENAHEM BARUCH
Keyword(s):  

1943 ◽  
Vol 47 (387) ◽  
pp. 103-105
Author(s):  
J. Ratzersdorfer

In cases of tapered struts with hinged or built-in ends where the exact determination of the buckling load is complicated it may be useful to apply a method of successive approximations.Let us first consider a bar of the length l with hinged ends under the action of the compressive force P. The differential equation of the bending line becomeswhere v is the deflection at the section u, v with the moment of inertia I (u) and E is Young's modulus. At the ends of the bar the deflection v is equal to zero (Fig. I).


2007 ◽  
Vol 90 (11) ◽  
pp. 111909 ◽  
Author(s):  
Philip A. Yuya ◽  
Yongkui Wen ◽  
Joseph A. Turner ◽  
Yuris A. Dzenis ◽  
Zheng Li

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