Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings

Yeh Kai-yuan; Tang Xie-li

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Yeh Kai-yuan, Tang Xie-li. Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings[J]. Applied Mathematics and Mechanics, 1988, 9(2): 107-115.

Citation:

Yeh Kai-yuan, Tang Xie-li. Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings[J]. Applied Mathematics and Mechanics, 1988, 9(2): 107-115.

Citation:

Yeh Kai-yuan, Tang Xie-li. Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings[J]. Applied Mathematics and Mechanics, 1988, 9(2): 107-115.

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Uniform Strength Design of Beams with Non-Zero Minimum Flexural Rigidity under Multiple Loadings

Yeh Kai-yuan¹,
Tang Xie-li²

1.
Lanzhou University, Lanzhou;
2.
Hehai University, Nanjing

Received Date: 1985-08-09
Publish Date: 1988-02-15

Abstract

Abstract

The analytical method for uniform strength design (U.S.D.) of statically indeterminate beams is extended to deal with a preassigned constraint of non-zero minimum flexural rigidity and multiple load cases. And a numerical method of finding the U.S.D. is presented. Therefore we have a uniform procedure of solution of U.S.D. to beams with arbitrary cross-sectional shape and acted upon by several loadings and subjected to the constraint of minimum flexural rigidity.

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References(5)

References

[1]	唐燮黎、叶开沅,静不定梁的等强度设计,应用数学和力学,6,12(1985), 1053-1060.
[2]	Washizu, Kyuichiro, Yariaiional Methods in Elasticity and Plasticity, 3rd edition, Pergamon Press (1982).
[3]	孙训方等编,《材料力学》(上册),人民教育出版社(1979).
[4]	Hildebrand, F, B.,Introduction to Numerical Analysis, 2nd edition, McGraw-Hill Inc(1974).
[5]	刘德贵等编,《Fortran算法汇编》第一分册,国防工业出版社(1980).