No description available.

A procedure for analyzing a two and three dimensional truss-rigid-frame with elope deflection method is investigated in this thesis. In the first few chapters of this thesis the elope deflection equations for solving the trussed-rigid-frame problem were derived. The point of great importance in deriving slope deflection equations is that the imaginary plates or bars are added at separated domains or parts. Because of the existence of imaginary plates or bars the whole trussed-rigid-frame can be regarded as the rigid beam frame. The equations for determining the coefficients for the equivalent slope deflection equations of the separate domains can be formulated by applying the Castigliano’s theorems. The reactions and the stresses in every member of the trusses can be calculated after the reactions at the “joints” have been determined. In the last few chapters an illustrative example is given. Its solutions are checked with the solutions obtained by applying Castigliano's theorem to the whole frame. This proves that it is possible to analyze the trussed-rigid-frame by using the procedure mentioned in this thesis. The advantage in using this method is that the whole structure may be separated into domains when the number of members increases to such an extent that the capacity of a computer is exceeded. / Master of Science

M.S.

Master of Science

The stress concentration factors for rectangular slots with semicircular ends with their major axes inclined to the direction of a uniaxial tension field were investigated by photoelastic methods. A major portion of this thesis deals with the problem of loading a circular disk such as to create an approximately uniform tension field. This circular disk was used to investigate the stress concentration factors of the slots which were compared to the known results of a slot perpendicular to a tension field in a rectangular plate. The maximum value for the stress concentration factor occured when the slot was perpendicular to the direction of the tension field. A method of determining the stress concentration was developed which required only the recording of the load at which each fringe appeared on the edge of the slot. This method gave results with 6% of accepted values. / Master of Science

As pointed out in the “Discussion of Results”, the sub-surface stresses in a gear tooth decrease very rapidly with its depth. This result serves as a supporting evidence to the common practice of case-hardening the gear teeth. Previously this was done according to the mechanical properties of the gear materials, but without any analytical basis. Gear stress is a very complicated problem which includes in general the static, dynamic and fatigue stresses. Most of all, many uncertainties in service such as the impact load, acceleration load and work hardening are involved. These uncertainties make it difficult to get a general solution. The photoelastic method is an effective one for making a static study of gear stress, but it is understood that this method can not solve the whole problem, Since if the static stresses are considered further studies covering the notch sensitivity, friction effect, dynamic effect, and load distribution are still needed. / Master of Science

Vita. / Digitized by Kansas Correctional Industries

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published_or_final_version / Civil Engineering / Doctoral / Doctor of Philosophy

published_or_final_version / Dentistry / Doctoral / Doctor of Philosophy