Statics Assignment Brief DEPARTMENT OF MECHANICAL, AEROSPACE & CIVIL ENGINEERING ASSIGNMENT BRIEF Module Code: ME1300 Assessment Title: Statics Assignment Assignment Set By: Dr Rui Cardoso Main objectives of the assessment: To assess understanding of the first half of the statics section of the course. Assessment will focus on the understanding of basic concepts and ideas, followed by the ability to analyse, using appropriate mathematical relationships and more complicated engineering scenarios. Brief Description of the Assessment: An assignment consisting of 4 questions, all questions must be answered. Learning outcomes for the assessment (refer to the appropriate learning outcomes) Principles of static equilibrium for engineering structures under static loads. Analysing and drawing free-body diagrams, and developing equilibrium equations for idealised engineering systems. Applying mathematical and engineering science methods to problem solving. Employing databases and engineering handbooks. Assessment and marking criteria The students will be required to: • Provide detailed calculations for all questions. Full working must be provided to support answers. • Provide an in depth analysis and full explanation where necessary. • To present answers in a clear and concise way. Assessment method by which a student can demonstrate learning outcomes: Application of basic concepts and presentation. Numerical analysis and manipulation of equations. Analysis and discussion. Weighting: 15% of module Format for the assessment/coursework: (Guidelines on the expected format and length of submission): The assignment should be word processed, including all mathematical equations. The assignment should be between 6 and 10 pages in length; longer submissions will not be penalised but you should try to be concise. Distribution date to students: 22/11/2017 Submission Deadline: Please see separate timetable on Blackboard Feedback to students Please see separate timetable on Blackboard___________________________________________________________________________ – 1 – Q1. Consider the plier shown in Figure QA1 (a). A downward force of 200 N is applied at the member with hinges A and B (member 1) and an upward force of 200 N is applied at the member with hinges located at points C and D (member 2). The component with hinges B and D (member 3) and member 1 are both applying a clamping force P at the pin shown in Figure QA1 (a). (a) Construct the Free Body Diagrams (FBD) for members 1, 2 and 3. [5%] (b) Calculate the reactions at hinges B and D, the force in strut AC and the clamping force P at the pin. [15%] (c) Calculate the diameter of the bolt at hinge “A” (Figure QA1 (b)). Use a factor of safety of 1.5 and a Yield Stress of 500 MPa. [5%] Figure QA1 (a) Figure QA1 (b) 200 N 9 cm 7 cm 200 N Pin___________________________________________________________________________ – 2 – Q2. By using the Method of Sections, calculate the forces in the members that are being crossed by cutting sections 1-1 and 2-2 represented on the planar truss from Figure QA2. [25%] Figure QA2 30 kN 80 kN 1 1 2 2___________________________________________________________________________ – 3 – Q3. Consider the space truss from Figure QA3. (a) Determine the unit vectors for struts AB, AC, AD and AE. [10%] (b) By using the Method of Joints, determine the force in each member of the space truss from Figure QA3 and state if the members are in tension or in compression. [15%] Figure QA3 400 N 2400 N___________________________________________________________________________ – 4 – Q4. The beam from Figure QA4 has a double support at point “A” and a single support at point “D”. It has a uniform distributed load of 10 kN/m applied in section “B–C”, a triangular distributed load in section “C-D” and an anticlockwise moment of 20 kNm applied at point “B”. (a) Calculate the reactions at the supports. [5%] (b) Determine the Transverse Shear Force (SF) and the Bending Moment (BM) equations and plot the SF and BM diagrams for the beam of Figure QA4. [20%] Figure QA4 *****