civ102f_2001_exam - I) l} mks mks l0 mks mks NAME;...

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Unformatted text preview: I) l} mks mks l0 mks mks NAME; UNIVERSITY OF TORONTO FACULTY OIT APPLIED SCIENCE AND ENGINEERING FINAL EXAMINATIONS. DECEMBER ZOOI First Year - Program 5 CW IOZHH‘ - STRUCTURES AND MATERIALS Examiners - M P. Collins and WM. Onsongo Pemiissihle Aids: notebook. calculator and drafting instruments Through the miracle ol'time travel you find yourself in Spain duri1.~_.j_'l'ra_ian‘s reign. You are assisting Caius Julius Lacer design his great bridge across the Tagus River. He is concerned that during construction ofthe bridge. when the granite block piers are standing alone. a severe spring llood may damage or even destroy these stone towers. He asks you to check the tallest central pier for 2: river depth of 28 m and a river Speed of6 mfsee. (a) lfthe granite blocks weigh 26 kam'1 in airt what will he the uniform compressive stress in the masonry at the base ofthe 40 m high pier caused by selfweight when the river depth is 3 m’.’ (b) lithe sharp “cut-water" on the pier reduces the drag coefficient to 0.85 what will be the uniform horizontal pressure caused by the 6 misec river velocity? Water has a densin of 1000 ngm3. (c) What is the moment at the base oIthe tower caused by the water pressure'.’ Will this moment cause the blocks on the upstream side ofthe pier to separate? (d) Estimate the river velocity. at a river depth 0(28 m. which would destroy this stone block bridge pier. C-var- . Dehi'u = 25, I 94:) Rtvfirl . , . i s .4- ' - - '9 hi. ‘3_ '7- Page 1 of 8 H H LI 0 Page 2 of8 {) H H H l J The steel truss shown below supports a point load of 300 kN applied at joint E IO (a) Calculate the axial force in each member ofthe truss clue to the 300 kN loads Write your :‘nks calculated forces adjacent to the appropriate members in the sketch below. Use the convention +vc for tension and —\'e for compression. 7 (b) ll'all members ofthe tmss are made from the same hollmv structural section. namely HSS mks l52 x 152 x 4.8. using a steel with a yield stress M350 MPa are the truss members safe under the 300 l-zN load'.1 At what value of load atjoint F. will the truss be on the boundary between safe and unsach 8 (c) Calculate the deflection ofjoint E due to the 300 SN load. Page 3 OHS H H Page J of 8 U H H 4 D H l0 mks The Wolt) 7 24] wide flange rolled steel beam shewn below is continuous over two 12 m spans and Supports a uniformly distributed load. which includes the beam‘s selfweight. of 50 lthm The total downwards load of1200 RN is resisted by the three rigid supports at A. B and C. To find out how much ofthe load is resisted by support B we must consider deformations (:3) Calculate how far down point B would move if‘the support at B was removed. That is find the midspan deflection ofa 24 in span beam supported at A and C due to the downward load ofSO kN/m. Assume E t” 200000 MP3. {b} Calculate how far upjoint B would move due to a 600 lth' point IOad applied at P. That is. find the midspan deflection ofa 24 m span beam supported at A and C due to an upwards point load M600 kN applied at midspan. (cl The actual deflection of point B is zero. Hence. the downwards deflection due to the 5.0 klfifm load must equal the upwards deflection due to the value ofthe support force at B. ls the support force at B equal to 600 kN'.’ lfnot. what is the correct salue ofthe support force at B',‘ {d} Draw the shear force and bending moment diagrams for the two span beam. Calculate the highest tensile stress in the steel beam. 350 iaij Page 5 of8 U H U Page 6 of8 H II '1. N mks H H Display your understanding tifstructures and materials lay making brief. insightful comments. illustrated where appropriate by calculations, on the following topics. issues. quotations or qucsfions (3) Shown below are the stress-strain curves of four different materials. Based on these curves rank materials A. Bl C and D on the basis of strength. stiffness, resilience and toughness. ‘ l l Weakest Flexible i Strangest t _ Stiffest ' Least Resilien l """"T——-"——' l r" i t Most Resilient i l I l l Most Brittl Toughest t 5 (hi To illustrate the concept ofhending a professcir r: W“ mkS uses at wooden metre stick 5. mm thick. lithe i wood fails at 80 Ml’a and E equals IQOOO Ml’a, what is the smallest radius of the circular are D into which the stick can be bent just prior to M R M failure? b tel “lirmitas. utilitas. venustas“ 5 mks 5 (d) "The Firth ol‘l-‘orth Bridge is the clumsicst structures ever designed by man an American till-£8 would have taken that bridge with the amount of money that was appropriated and would have turned back 50% to the Owners." 5, {e} The buckling load 0ft! long‘ thin plate With hinged edges (held against displacement} is t 4T‘E I1, = ——‘ , bi l2lb .1 r)” mks For an aircraft structure a 3 m long and l m wide. thin plate with hinged edges is required to safely transmit a compressive force of IOO LN. What is the minimum safe thickness for an aluminium plate? What is the minimum safe thickness fer a spruce plate”:I Which plate ueighs less? Page 7 MR { r H H . Page 8 of?! ...
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civ102f_2001_exam - I) l} mks mks l0 mks mks NAME;...

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