UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER ONE EXAMINATION 2016/2017 ENGINEERING PRINCIPLES 1
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1 UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER ONE EXAMINATION 2016/2017 ENGINEERING PRINCIPLES 1 MOULE NO: AME4052 ate: Saturda 14 Januar 2017 Time : 2:00 4:00 INSTRUCTIONS TO CANIATES: There are SIX questions. Answer Two Questions from Part A and Two Questions from Part B. All questions carr equal marks. Marks for parts of questions are shown in brackets. Electronic calculators ma be used provided the data and program storage memor is cleaned prior to the eamination. CANIATES REQUIRE : Formula Sheet (attached)
2 Page 2 of 9 Q1. PART A a) The tensions T1, T2 and T3 in simple frameworks are given b the equations: Q2. 5T 5T 5T T 2T 4T T 2T etermine T1, T2 and T3 using Gaussian elimination. (12 marks) b) In a sstem of forces, the relationship between two forces F1 and F2 is given b 5F1 + 3F2 + 6 = 0 3F1 + 5F = 0 Use determinants to solve for F1 and F2 a) Resolve the following into partial fractions: (8 marks) (i) (2 --13) ( 2 +7)(-2) (ii) 4( - 4) ( ) (8 marks) (6 marks) b) Use the binomial theorem to epand: (6 marks) Please turn the page
3 Page 3 of 9 Q3 a) An oil compan bores a hole 120 m deep. Estimate the cost of boring using arithmetic progression if the cost is 70AE for drilling the first meter with an increase in cost of 3AE per meter for each succeeding meter. (6 marks) b) A drilling machine is to have 8 speeds ranging from 100 rev/min to 1000 rev/min. If the speeds form a geometric progression determine their values, each correct to the nearest whole number is 100 rev/min (6 marks) c) Solve the equation using laws of logarithm: log 2t 3 - log t = log 16 + log t (8 marks) Please turn the page
4 Page 4 of 9 PART B Q4 a) A steel specimen of 12mm diameter was tested in tension. The deformations were measured over a gauge length of 100m.The load at the proportionalit limit was found to be 26.15kN and the etension to be 0.118mm.The load at ield was 28.51kN and the ultimate load was 32.25kN.The length of the specimen between the gauge marks was measured to be 131mm and the neck diameter to be mm after fracture. etermine the following: i. The Young s modulus ii. Stresses at proportionalit limit iii. Yield load of the material iv. Ultimate load of the material v. Percentage elongation vi. Percentage contraction b) etermine the maimum permissible load on a steel bar of 20mm diameter when the factor of safet is 1.8 and the ultimate stress is 495MPa. (5 marks) Please turn the page
5 Page 5 of 9 Q5. a) A reinforced concrete column is 230mm 400mm in cross section as shown in FigureQ5a. The column consists of 10bars of 20mm diameter. The column carries a load of 400kN.Find the following: i. Stresses in concrete ii. Stresses in steel bars iii. Load in concrete iv. Load in steel bars Given E steel=210gpa and Econcrete-15GPa. (3 marks) (3 marks) (3 marks) (3 marks) Figure Q5a b) A bar 12mm in diameter is acted upon b an aial load of 20kN.The change in diameter is measured as mm. etermine the following: i. Poisson s ratio (2 marks) ii. The modulus of elasticit (3 marks) iii. The bulk modulus (3 marks) The value of modulus of rigidit is given as 80GPa. Please turn the page
6 Page 6 of 9 Q6. A simpl supported beam of length 10m carries the uniforml distributed load and two point loads as shown in Figure Q6.Compute the following: i. raw the Shear force diagram ii. raw the Bending Moment diagram iii. Calculate the maimum bending moment (8 marks) (8marks) (4 marks) Figure Q6 EN OF QUESTIONS
7 Page 7 of 9 eterminants FORMULA SHEET - -1 Matrices 1 adja A 1 X A B Series Un = a + (n 1) d n Sn = 2 [2a + (n 1) d] Un = ar n-1 Sn = n a(1 r ) 1 r S a 1 r 1 Un = a + (n 1)d + 2 (n 1)(n 2)C Binomial (1 + ) n = 1 + n + n(n 1) 2! 2... Validit < Partial Fractions F() ( a)( b) A B ( a) ( b) F() ( a)( b)( c) A B C ( a) ( b) ( c)
8 Page 8 of 9 Stress Normal σ = P A A = -sectional area Shear τ = P A A = shear area Strain Normal Shear = (Angular isplacement in rads in direction of F) Compound Bars P = P1 + P2 P = 1A1 + 2A2 σ 1 E 1 = σ 2 E 2, Elastic Constants E = σ ε, G = τ γ v v v E E E E E E E E E 1 2 E V V
9 Page 9 of 9
UNIVERSITY OF BOLTON WESTERN INTERNATIONAL COLLEGE FZE BENG(HONS) MECHANICAL ENGINEERING SEMESTER ONE EXAMINATION 2015/2016 ENGINEERING PRINCIPLES 1
UNIVRSITY OF BOLTON OC49 WSTRN INTRNATIONAL COLLG FZ BNG(HONS) MCHANICAL NGINRING SMSTR ON XAMINATION 2015/2016 NGINRING PRINCIPLS 1 MOUL NO: AM4052 ate: Saturda 16 Januar 2016 Time: 10:00 12:00 INSTRUCTIONS
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