​ General Information This assignment is designed to assess your knowledge of Statics and Influence Linesfrom SEV320, with particular emphasis on ULO's 1, 2 and 3. This assignment contributes 20% towards your final grade. You will find the class content and the prescribed text book to be excellent resources for completion of this assignment. Each student is required to prepare a calculation report which details the full solution procedure for each of two problems. Students are encouraged to complete handwritten calculations, rather than creating a word processed document. Calculation reports shall include clear and concise calculations, scale sketches and concise written summaries as required by the assignment. Ensure you clearly identify solutions (eg. underline each solution). Students shall ensure that they use appropriate significant figures and SI units at all times. On the first page of the submission, students must include the following items:  Unit code and title  Your full name and student ID  The title of the assignment Ensure all pages are numbered. Students shall submit a single electronic file in PDF format to the Assignment 1 drop box on the CloudDeakin Unit site. Submissions not meeting these requirements may require resubmittal and may be marked down. Submissions must be the student's own individual work. Deakin University / SEBE / School of Engineering / Civil www.deakin.edu.au SEV320 Assignment 1 Page 1 of 3 Printed: 13 April 2016 SEV320 – Theory of Structures Assignment 1, 2016 Statics & Influence Lines Problem 1 – Beam Analysis and Design Check The idealised framing plan for an office floor system is shown in Figure 1. The floor will comprise of a 125mm thick reinforced concrete one‐way slab, supported on steel beams with bolted end connections. The elevator shaft has 100mm thick reinforced concrete walls of 3.2m height, with door located above section EG. Your supervisor has asked you to perform a limitstate (ultimate) analysis of Beam ST and check beam strength. Details are as follows. Analyse Beam ST as follows: 1.1) a. Use shear and moment functions to derive the SFD and BMD for the ultimate load case. 1.2) Apply an additional concentrated live load of 10 kN at 'F' on Beam ST. (Hint: Define FBD and calculate reactions first.) b. Identify the maximum ultimate bending action in the beam, MMAX* and it's location. c. Identify the maximum ultimate shear action in the beam, VMAX* and it's location. a. FOR POINT LOAD ONLY: Use MOS to calculate maximum MPL* and draw BMD. b. FOR ALL LOADS (PARTS 1.1 & 1.2): Use superposition to calculate ultimate bending action at 'F', MF*. Design checks for Beam ST: 1.3) Check actions from part 1.1 against capacity for the proposed beam, as shown in Table 1. Provide a concise summary of design recommendation for the beam, including FOS. Input Data: Dead Loads, G: Reinforced concrete = 2450 kg/m3 Ignore self‐weight of steel beams Live Loads, Q (AS1170): Office Floor, UDL = 3.0 kN/m2 Ultimate load case: LC1: 1.2G + 1.5Q Ultimate Capacity of Beam ST ØM = 174 kNm ØV = 449 kN NB: FOS = Factor of safety > 1.0 ൌ ௎௟௧௜௠௔௧௘ ஼௔௣௔௖௜௧௬ ௎௟௧௜௠௔௧௘ ஺௖௧௜௢௡ 2.5 m S T 2.5 m 2.5 m 2.7 m 2.2 m 1.8 m Figure 1 Deakin University / SEBE / School of Engineering / Civil www.deakin.edu.au SEV320 Assignment 1 Page 2 of 3 Printed: 13 April 2016 SEV320 – Theory of Structures Assignment 1, 2016 Statics & Influence Lines Problem 2 – Truss Analysis The simply supported timber pedestrian bridge shown in Figure 2 crosses a creek in a local park. An equipment delivery to a substation requires a loaded vehicle to cross the bridge, and this load may be more critical than the normal pedestrian UDL for the bridge. The deck is comprised of simply supported sections which rest on joists. The deck and joists have been checked and satisfy capacity requirements for the new load, but an analysis is required to check the capacity of truss members. Ignore self‐weight of the deck and the truss. 2.1) Determine the largest ultimate force in truss member FG, FFG* under vehicle loading. Hint: Use Influence Lines and Trial and Error Method for moving load component. 2.2) Apply a 2.0 kPa live load over the entire deck instead of the vehicle load and determine FFG*. Which load is more critical for member FG? Note: Deck width is 2.5 m. 2.3) Member design checks show that truss members are limited to the following capacity: ØNT = 17.0 kN (tension) ØNC = 8.5 kN (compression) Provide a concise design recommendation summary for the truss, including FOS for critical load case. Input Data: Vehicle Live Loads, Q Front Axle, QF = 0.5 T Rear Axle, QR = 1.35 T Assume vehicle load is shared equally between the two trusses Assume loaded vehicle moves right to left only (in direction shown in Figure 2) Ultimate load case: