BEng (Hons) in Civil Engineering Bridging Programme Structural Analysis Bridging Assignment Important Information for Students • • The criteria each task relates to are shown against that task where possible. Please note that plagiarism is treated as a serious offence and therefore the work you produce must be individual and original although may work in groups in some instances. • Assume reasonable values for any data not given in. Clearly state such assumptions made on the report. REPORT STRUCTURE a) Paper Size A4 b) Margins LHS; RHS 25 mm c) Basic Font Size 11 Point d) Line Spacing 1.5 e) Fonts Arial f) PDF Document Presented g) Word Limit N/A Q1: Consider the below simply supported beam AB have a uniform section is subjected to a loading conditions as shown in the diagram 1 below. (1). Draw the shear force and bending moment diagrams with usual notations. (15 marks) (2). Calculate the location of maximum bending moment and corresponding shear force. (10 marks) Figure 1: Idealized beams for question 1 1 Q2:Figure2 shows an idealized truss which has pinned and roller supports at the both ends respectively Answer the following questions 1) Based on the free body diagram of the entire truss solve equilibrium equations and find the reactions at A and L. (10Marks) 2) Using section methods or any other methods find the axial forces on each and every member. (15Marks) Figure 2: Idealized Truss Q3:Consider the below continues beam ABCD subjected to different loading conditions idealized as shown in figure 3. Also, it is considered as the support condition A only fixed to the rotation and others subjected to roller joints. As it is a statically indeterminate system with 6 redundant parameters carry out moment distribution method to solve the problem to find shear force, bending moment and reactions. (25Marks) 1) Find the Fixed End moments of beam segments AB, BC, CD? 2) Calculate the Distribution factors of the beam segments in each joint? 3) What you meant by carry over factor and support your definition with the above beam? 4) Tabulate the Moment distribution analysis 5) Find shear forces at joints 6) Draw Bending moment diagram and shear force diagram 7) Calculate the reaction force at the supports. 2 Figure 3: Idealized beams for question 3 Q4:Find the second moment of area and radius of gyration about axis X-X for the beam section shown in figure 4. Find the location of centroid of the section. 3. Calculate the second moment and radius of gyration of area about the axis passing through centroid parallel to X-X axis. (25Marks) Figure 4: Idealized beams for question 4 3