Principles of engineering mechanics

Engineering plays a vital part in shaping our lives today. Everything we touch and do is directly or indirectly influenced by mechanical engineering, which is the oldest and broadest of all engineering fields. In order to excel in mechanical engineering, thorough understanding of statics, dynamics, thermodynamics, fluid dynamics, materials science, and structural analysis is essential. By completing this case study, you will demonstrate that you have acquired key fundamental concepts in statics, dynamics and thermodynamics needed to tackle and solve advanced engineering problems in your future engineering studies. Completion of this assignment will address the following learning outcomes: LO1 Explain the fundamental concepts and principles of engineering mechanics. LO2 Apply basic principles of solid mechanics, including statics and dynamics. LO3 Demonstrate an understanding of the physical processes which govern thermodynamic phenomena. LO4 Define a range of engineering material properties. LO5 Carry out experimental and practical activities to investigate and apply the basic concepts of mechanical engineering.

Task: Please do not reveal your name or student ID, as submission is anonymous. • You must attend all practical sessions since you need the data from your laboratory experiments to complete some of the questions. • Answer all Case study questions. • You must type your assignment. • You must use S.I units throughout the assignment. • You must provide your numerical answers in 2 decimal places. • Provide all the steps for the values you calculated. If not, marks will be deducted accordingly. Case Study 1 [35 Marks] a. John drives a motorbike to work. He drives for 1.15 hours at a speed of 33 mph and 0.25 hours at 38 m/s. Find the average speed of John for the whole journey, give your answer in SI units. Comment on the speed he was travelling.(<50 words) [7] b. A car is towing a caravan along a straight horizontal road by a horizontal inextensible bar. The car is 1500 kg and the caravan is 800 kg. The constant resistance to the motion of the car and the caravan are 600 N and 180 N respectively. The driving force of the car engine is 1500 N. I. Draw a free body diagram, showing all the forces acting on both the car and the caravan. [4] II. Find the acceleration of the car and the caravan. [4] III. Find the tension in the tow bar. [4] IV. If the velocity of the car and the caravan doubled in ten seconds, find the initial velocity of the car and the caravan. [4] V. Discuss briefly what problem will arise if the connecting bar is extensible. [3] c. Briefly discuss what is centre of mass. [4] d. Is it possible to have the centre of mass outside the area of a shape? Explain with an example. [5] Case Study 2 [35 marks] As an engineer, you were hired by a construction company to provide support and expertise on materials selection and stress analysis. Your first task is to analyse a structural frame as shown below in Fig 1. The truss consists of five steel tubes. Tubes AB, BD and AD are equal size of 6m. The structure is in equilibrium and simply supported. A force of 900N, 100N and 350N are applied at point D, A and C respectively. a) Briefly discuss what you learnt from beam reactions lab experiment about applied load and reaction forces at supports. [3] b) Calculate the reaction forces at A (pinned support) and B (roller support). [6] c) Calculate the magnitude of the forces in AD and BC using the method of joint and state whether they are in compression or tension. [11] d) The steel sample you used in the lab to do the tensile test was used to produce truss tubes in Fig 1. I. You were asked to produce the stress –strain curve of the steel sample from your laboratory test and find the yield stress and young’s modulus of the steel. [11] II. The diameter of tube AB (in Fig 1) is 8 mm, determine the minimum safety factor needed for the tube AB in the truss structure. [4] Case Study 3 [30 Marks] a. Most engineering metallic materials expand when heated and thermal expansion coefficient varies with different materials.

The bimetallic strip consists of two different materials with different expansion co-efficient. Briefly explain the working principles of bimetallic strip and identify an application where they uses bimetallic strip as a part of system. [8] b. The glass in a single –glazed window of an office is replaced with a double-glazed window. The single – glazed and double-glazed window panes are 6 mm thick and have a thermal conductivity of 0.8 W m-1 K-1. The heat transfer co-efficient on the room – side surface of the glass and glass surface exposed to the outside is 7.2 W m-2 K-1 and 13.5 W m-2 K-1 respectively. Air fills the gap between the panes of the double – glazed window. The convective heat transfer co-efficient of air-filled glass surfaces is 4 W m-2 K-1. If the room temperature is 22°C and the out-side temperature is -2°C. Compare the rate of heat-loss per unit area through single-glazed and double-glazed window. [14] c. Heat can be transferred from one place to another by different methods. Briefly explain the difference in heat transfer method between cooling a cup of coffee and heating up a room by an electric fan heater. [8]

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