The beam supports the loads as shown in the figure. Using E = 200 GPa, w = 16kN/m, P= 25kN and M = 22kNm, L₁ = 2m, L₂ = 8, L3 = 2m and a=25mm. Find, a. If w is spread over L₁ and L2, and P and M are interchanged, determine the midspan EIS and deflection by moment - area method Strictly show all of the free body diagrams used upon solving the problem. Complete solution is a must. 6a B 10a M4 - يا ــــــــ 3a

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Quantity takeoff

Quantity takeoffs (QTO) are precise estimates of the materials and labor costs required to finish a construction project. During the pre-construction phase, an estimator prepares them, breaking down the project into smaller, more manageable parts that are easier to evaluate. These measurements are used to prepare a construction scope bid. Estimators examine the drawings, specifications, and models to figure out different quantities and their costs. Since, the components, their quantity, and price are all included in the model, quantity take-off can be done automatically using Building Information Modelling (BIM). The time taken for completing a construction project can be reduced by the use of quantity takeoff. These takeoffs are also called material takeoffs and construction takeoffs.