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Today, the common expression of the bending moment equation is an expression of piecewise function, which causes heavy work in its theoretic research. The bending moment equation is often used when the bend of girder is being studied. Under the action of the concentrative loads, the expression of piecewise function of the equation of bending moment can be expressed with a monolithic equation by unit-step function, and then the calculative workload will be simplified when bend distortion is solved. And at the same time it also has a certain theoretic value.

CORE, a trust model is proposed trying to solve agent coalition formation problem. The model characterizes an agent’s trust from two aspects of competence and reputation. In the paper, the Euclidean distance formula of vector space on competence field is used to measure the extent which an agent fitting for a particular task, and the membership function is used to characterize an agent’s reputation. At the begin of the task, appropriate agents are selected to form a coalition according to their trust value; in the process of the task, the agent’s competence gains and reputation updates; after completing the task, the model can renovate every agent’s trust according to their behavior during the coalition, which is viewed as an evidence for next task. Finally, the model is carried out by programming on the NetLogo platform.