CIVE 310 Exam 1, Fall 2003

CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout QUIZ 1 Fall 2003-2004 (Monday, November 24, 2003) CIVE310 - MECHANICS OF MATERIALS CLOSED BOOK, 1 ½ HOURS Name: ID#: NOTES • 2 PROBLEMS – 10 PAGES. • ALL YOUR ANSWERS SHOULD BE PROVIDED ON THE QUESTION SHEETS. • ONE EXTRA SHEET IS PROVIDED AT THE END. • ASK FOR ADDITIONAL SHEETS IF YOU NEED MORE SPACE. • SOME ANSWERS MAY REQUIRE MUCH LESS THAN THE SPACE PROVIDED. • DO NOT USE THE BACK OF THE SHEETS FOR ANSWERS. • DRAFT BOOKLET WILL BE PROVIDED; BUT DO NOT USE FOR ANSWERS. • BOTH QUESTION SHEETS AND DRAFT BOOKLET SHOULD BE RETURNED. • CHECK BOXES ARE FOR YOU TO CONFIRM THAT HAVE SOLVED A QUESTION FORMULAS/EQUATIONS: GENERAL FORM (USE CAREFULLY) P/A; Tc/J; Mc/I; VQ/It bh3/12; ΠR4/2; 2ΠR3t YOUR COMMENT(S) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ DO NOT WRITE IN THE SPACE BELOW MY COMMENT(S) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ YOUR GRADE Problem I: _ _ _ /70 Problem II: _ _ _ /30 CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Other: _ _ _ __________________ TOTAL: /100 CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Problem I: (70 points) The free-standing circular solid column monument with diameters of 0.40 m and 0.20 m as shown in Figure I-a is loaded with P= 1,000 kN and has the following properties: • E = 20 x 106 kPa (kN/m2) : Modulus of elasticity • γ = 20 kN/m3 : Weight density (about 2 times water) • σy = 20,000 kPa : Yield strength in tension and compression • FS = 2.0 : Factor of safety 1. IGNORE OWN WEIGHT and solve for the problem as follows: • Reaction, Force, Stress, Strain, and Displacement Diagrams. (25 points) • Discuss safety. (5 points) • Compute the stiffness of the system. (5 points) Calculations and/or Diagrams: 45o 45o F F Figure I-a 0.20 m 0.40 m 2 m 2 m P Figure I-c Figure I-b CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Calculations and/or Diagrams (cont’d): CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Calculations and/or Diagrams (cont’d): CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout 2. AGAIN IGNORING THE OWN WEIGHT, and referring to Figure I-b, what is the force F in each cable which will be required to ensure that the top displacement due to P in question 1 is reduced to zero. (15 points) Deduce the top reaction in the system in Figure I-c, and solve as in question 1 (Reactions, Force, Stress, Strain, and Displacement Diagrams, check safety, and compare safety with question 1). (10 points) Calculations and/or Diagrams: CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Calculations and/or Diagrams (cont’d): CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout 3. Referring to Figure I-a, show that the own weight is negligible by calculating a displacement value, using a very simple model which approximates the real model (look for a range, and not for an exact value). DARE TO APPROXIMATE AND THIS COULD BE A 3 MN QUESTION. (10 points + up to 5 bonus points to the most daring which make sense) Calculations and/or Diagrams: CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Problem II: (30 points) Design (find cross-section and length) the thin tubular steel shaft shown in Figure II, given the following loading, properties and constraints: • This should be a thin tube with t/D< 1/20, and Area = ππππDt • Ignore own weight • P = 1,000 kN • E = 200 x 106 kPa (kN/m2) : Modulus of elasticity • σallowable = 100,000 kPa : Allowable strength in tension • Elongation limited to 1 mm Calculations and/or Diagrams: Figure II P L D t Cross-Section CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout Calculations and/or Diagrams (cont’d): CIVE310 - Fall 2003-2004 Quiz 1 Mounir Mabsout EXTRA SHEET: Continued from page _______ Name: ID#: Calculations and/or Diagrams: