A beam of uniform rectangular cross section is to be cut from a log having a...
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A beam of uniform rectangular cross section is to be cut from a log having a circular cross section of diameter 2a. The beam has to be used as a cantilever beam (the length is fixed) to carry a concentrated load at the free end. Find the dimensions of the beam that correspond to the maximum tensile (bending) stress carrying capacity. Moment is 4kNm a=0.5m Omax M = y = My 12 (2x) (2y)³ 3 M 4 xy² x² + y² = a² Compare hand calculations with MATLAB D 2x * (Neutral axis) * x² + y² =a² A beam of uniform rectangular cross section is to be cut from a log having a circular cross section of diameter 2a. The beam has to be used as a cantilever beam (the length is fixed) to carry a concentrated load at the free end. Find the dimensions of the beam that correspond to the maximum tensile (bending) stress carrying capacity. Moment is 4kNm a=0.5m Omax M = y = My 12 (2x) (2y)³ 3 M 4 xy² x² + y² = a² Compare hand calculations with MATLAB D 2x * (Neutral axis) * x² + y² =a²
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