Introduction to engineering mechanics
Engineering · Unit 1 — Engineering fundamentals · Introduction to engineering mechanics
Learning objectives (10)
LO-1Comprehend components of a force, including - differentiate and relate force, gravity, mass and weight - calculate unknown forces using Pythagoras’ theorem 𝑎2 + 𝑏2 = 𝑐2 - calculate horizontal and vertical components using trigonometry and graphical methods ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑐𝑜𝑚𝑝𝑜𝑛𝑒𝑛𝑡 𝐹𝐻 = 𝐹 𝑐𝑜𝑠 𝜃 𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑐𝑜𝑚𝑝𝑜𝑛𝑒𝑛𝑡 𝐹𝑉 = 𝐹 𝑠𝑖𝑛 𝜃 𝐹𝑇 = √𝐹𝐻2 + 𝐹𝑉2 𝑎𝑛𝑑 𝑡𝑎𝑛 𝜃 = 𝐹𝑉 𝐹𝐻 sin 𝜃 = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑠𝑖𝑑𝑒 ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 cos 𝜃 = 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒 ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 tan 𝜃 = 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑠𝑖𝑑𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒 - recognise concurrent forces, non-concurrent forces, coplanar forces and collinear forces - define transmissibility of a force - represent simple problems graphically using force diagrams.LO-2Comprehend moments, including - define a moment - explore the uses of moments to calculate unknowns - calculate a moment using the formula 𝑀 = 𝐹𝑑 - calculate addition of moments using the formula 𝑀𝑇 = 𝑀1 + 𝑀2 + 𝑀3 + ⋯ - determine reactions at supports with only vertical loading considered. Engineering 2025 v1.4LO-3Comprehend Newton’s three laws.LO-4Comprehend scalar and vector quantities, including - define a scalar quantity - define a vector quantity - communicate scalar and vector quantities in graphical form - determine the resultant/equilibrant using graphical (force diagram) and mathematical methods - calculate addition of vectors - identify the conditions of equilibrium.LO-5Comprehend the resultant of non-concurrent forces, including - determine the resultant of simple forces on beams - determine the resultant of multiple forces on beams (point of application and angle of force to the beam).LO-6Comprehend types of loading, including tensile, compressive, bending, shear and torsion.LO-7Conduct experiments on simple truss frame forms to identify tensile and compressive forces.LO-8Define engineering mechanics, engineering statics, engineering dynamics, mass, force and matter.LO-9Define the characteristics of a force, including - 𝑓𝑜𝑟𝑐𝑒 = 𝑚𝑎𝑠𝑠 × 𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 - push or pull exerted by one body on another characterised by magnitude, direction, line of action and point of application.LO-10Determine how structures transfer forces.
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