A propped cantilever beam is subjected to a midspan concentrated load P (Figure P5.59). Select the reaction at the right end as the redundant. FIGURE P5.59 a. Determine the magnitude of the reaction at the right end. b. Determine the deflection of the beam under the load P. c. If the support at the right end settles a vertical distance PL3/32EI, determine the magnitude of the reaction at the right end. 1/2

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Glass

Glass is a brittle, supercooled, non-crystalline liquid. It is a clear amorphous solid, meaning, its atomic arrangements lack a definite pattern and long orderly arrangement. Glass can be thought of as a frozen liquid whose molecular flowability is retarded to much sower rate. Studies and science related to glass is an emerging field, with this, a new branch of materials science and engineering has developed known as, "glass engineering". Glass engineering focuses on the design and development of ceramics, glass, and composites. Engineers in this field test and work on new materials, that can be used in place of the traditional glass in terms of strength and durability. A glass engineer also engages himself in developing new equipment and manufacturing techniques, which can lead to the production of glass with enhanced properties.