# Question-   Unit 3: Engineering Science - LO2 Determine parameters within mechanical engineering systems. Solution-

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LO2 Determine parameters within mechanical engineering systems.

3.1 A simply supported beam of length 6m supports a vertical point load of 45kN at a distance of 4m from one end.

3.11 Determine the reaction forces at either end.

3.12 Recalculate the reaction forces at either end, taking into account the actual weight of the beam as a UDL. Assume that the mass of the beam is 39Kg/m and g= 9.81 m/s2

3.2 Examine two engineering applications of buoyancy?

3.3 Discuss briefly the temperature effects on mechanical properties such as a dimensional change, elasto-plastic changes, due to thermal stresses.

3.4 Find the acceleration which will be produced in a body having a mass of 60 kg when a force of 150 N acts on this body by using d’Alembert’s Principle.

3.5 For a domestic hot water system, a copper pipe carries hot water at 70 0c and has an external diameter of 150 mm and is lagged to an overall diameter of 500 mm. If the surface temperature of the lagging is 20 0C determine the rate of heat loss per metre length of pipe if it can be assumed that the inner surface of the lagging is at the hot water temperature. The thermal conductivity of the lagging is 0.09 W/mK.

SOLUTION       Task 3.0 3.1 A simply supported beam of length 6m supports a vertical point load of 45KN at a distance of 4m from one end. 4m |< ___—_—_—-5| 45k | Rx R 6m. <5 Fig 1.0 3.11 Determine the reaction forces at either end. 3.12 Recalculate the reaction forces at either end, taking into account the actual weight of the beam as a UDL. Assume that the mass of the beam is 39Kg/m and g= 9.81 m/s? 3.2. Examine two engineering applications of buoyancy? 3.3 Discuss briefly the temperature effects on mechanical properties such as a dimensional change, elasto-plastic changes, due to thermal stresses. 3.4 Find the acceleration which will be produced in a body having a mass of 60 kg when a force of 150 N acts on this body by using d’Alembert’s Principle. 35 For a domestic hot water system, a copper pipe carries hot water at 70 Oc and has an external diameter of 150 mm and is lagged to an overall diameter of 500 mm. If the surface temperature of the lagging is 20 OC determine the rate of heat loss per metre length of pipe if it can be assumed that the inner surface of the lagging is at the hot water temperature. The thermal conductivity of the lagging is 0.09 W/mK.

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