| Preface |
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ix | |
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Part One Revision of Mathematics |
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1 | (44) |
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1 Revisionary mathematics |
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3 | (17) |
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3 | (1) |
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4 | (1) |
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1.3 Measurement of angles |
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4 | (1) |
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1.4 Triangle calculations |
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5 | (3) |
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8 | (1) |
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8 | (2) |
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10 | (2) |
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12 | (2) |
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1.9 Simultaneous equations |
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14 | (4) |
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Revision Test 1 Revisionary mathematics |
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18 | (2) |
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2 Further revisionary mathematics |
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20 | (25) |
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2.1 Units, prefixes and engineering notation |
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21 | (3) |
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2.2 Metric-US/Imperial conversions |
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24 | (4) |
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28 | (2) |
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2.4 Gradients, intercepts and equation of a graph |
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30 | (2) |
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2.5 Practical straight line graphs |
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32 | (2) |
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2.6 Introduction to calculus |
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34 | (1) |
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2.7 Basic differentiation revision |
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34 | (2) |
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2.8 Revision of integration |
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36 | (2) |
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38 | (1) |
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2.10 Simple vector analysis |
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39 | (4) |
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Revision Test 2 Further revisionary mathematics |
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43 | (2) |
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Part Two Staties and Strength of Materials |
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45 | (154) |
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3 The effects of forces on materials |
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47 | (17) |
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48 | (1) |
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48 | (1) |
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48 | (1) |
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48 | (1) |
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49 | (1) |
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50 | (2) |
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3.7 Elasticity, limit of proportionality and elastic limit |
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52 | (1) |
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53 | (4) |
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3.9 Ductility, brittleness and malleability |
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57 | (1) |
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57 | (1) |
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57 | (1) |
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58 | (6) |
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64 | (8) |
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64 | (2) |
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4.2 Worked problems on tensile testing |
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66 | (2) |
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4.3 Further worked problems on tensile testing |
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68 | (2) |
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70 | (2) |
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5 Forces acting at a point |
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72 | (15) |
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5.1 Scalar and vector quantities |
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72 | (1) |
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5.2 Centre of gravity and equilibrium |
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73 | (1) |
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73 | (1) |
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5.4 The resultant of two coplanar forces |
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74 | (1) |
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5.5 Triangle of forces method |
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75 | (1) |
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5.6 The parallelogram of forces method |
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76 | (1) |
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5.7 Resultant of coplanar forces by calculation |
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77 | (1) |
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5.8 Resultant of more than two coplanar forces |
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77 | (2) |
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5.9 Coplanar forces in equilibrium |
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79 | (2) |
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5.10 Resolution of forces |
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81 | (3) |
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84 | (3) |
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87 | (12) |
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6.1 The moment of a force |
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87 | (1) |
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6.2 Equilibrium and the principle of moments |
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88 | (2) |
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6.3 Simply supported beams having point loads |
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90 | (4) |
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6.4 Simply supported beams with couples |
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94 | (4) |
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Revision Test 3 Forces, tensile testing and beams |
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98 | (1) |
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99 | (14) |
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99 | (1) |
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7.2 Worked problems on mechanisms and pin-jointed trusses |
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100 | (1) |
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101 | (4) |
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7.4 Method of joints (a mathematical method) |
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105 | (5) |
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7.5 The method of sections (a mathematical method) |
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110 | (3) |
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8 Bending moment and shear force diagrams |
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113 | (15) |
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113 | (1) |
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114 | (1) |
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8.3 Worked problems on bending moment and shearing force diagrams |
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114 | (9) |
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8.4 Uniformly distributed loads |
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123 | (5) |
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9 First and second moments of area |
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128 | (18) |
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128 | (1) |
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9.2 The first moment of area |
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129 | (1) |
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9.3 Centroid of area between a curve and the .x-axis |
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129 | (1) |
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9.4 Centroid of area between a curve and they-axis |
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129 | (1) |
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9.5 Worked problems on centroids of simple shapes |
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130 | (1) |
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9.6 Further worked problems on centroids of simple shapes |
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131 | (1) |
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9.7 Second moments of area of regular sections |
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132 | (7) |
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9.8 Second moment of area for `built-up' sections |
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139 | (6) |
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Revision Test 4 Forces in structures, bending moment and shear force diagrams, and second moments of area |
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145 | (1) |
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146 | (6) |
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146 | (1) |
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10.2 To prove that σ/y = M/I =E/R |
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147 | (1) |
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10.3 Worked problems on the bending of beams |
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148 | (4) |
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152 | (10) |
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152 | (1) |
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11.2 Work done and power transmitted by a constant torque |
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153 | (2) |
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11.3 Kinetic energy and moment of inertia |
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155 | (3) |
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11.4 Power transmission and efficiency |
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158 | (4) |
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162 | (7) |
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12.1 To prove that τ/r = T/J = Gθ/L |
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162 | (2) |
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12.2 Worked problems on the twisting of shafts |
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164 | (4) |
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Revision Test 5 Bending of beams, torque and twisting of shafts |
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168 | (1) |
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13 An introduction to matrix algebra |
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169 | (9) |
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169 | (1) |
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13.2 Elementary matrix algebra |
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170 | (1) |
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13.3 Addition and subtraction of matrices |
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171 | (1) |
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13.4 Matrix multiplication |
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171 | (2) |
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13.5 Two by two determinants |
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173 | (1) |
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13.6 Three by three determinants |
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174 | (4) |
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14 The matrix displacement method |
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178 | (21) |
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179 | (1) |
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14.2 The matrix displacement method |
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179 | (1) |
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14.3 The structural stiffness matrix (K) |
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180 | (1) |
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14.4 Elemental stiffness matrix for a plane rod |
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181 | (3) |
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14.5 Slope-deflection equations |
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184 | (1) |
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185 | (6) |
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14.7 Analysis of pin-jointed trusses on SmartPhones, tablets and Microsoft computers |
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191 | (2) |
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14.8 Analysis of continuous beams on SmartPhones, tablets and Microsoft computers |
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193 | (3) |
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14.9 Analysis of rigid-jointed plane frames on SmartPhones, tablets and Microsoft computers |
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196 | (3) |
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199 | (82) |
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15 Linear and angular motion |
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201 | (9) |
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201 | (1) |
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15.2 Linear and angular velocity |
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201 | (2) |
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15.3 Linear and angular acceleration |
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203 | (1) |
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15.4 Further equations of motion |
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204 | (2) |
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206 | (4) |
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16 Linear momentum and impulse |
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210 | (8) |
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210 | (3) |
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16.2 Impulse and impulsive forces |
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213 | (5) |
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17 Force, mass and acceleration |
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218 | (9) |
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218 | (1) |
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17.2 Newton's laws of motion |
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219 | (3) |
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17.3 Centripetal acceleration |
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222 | (1) |
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17.4 Rotation of a rigid body about a fixed axis |
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223 | (1) |
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17.5 Moment of inertia (I) |
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224 | (3) |
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18 Work, energy and power |
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227 | (15) |
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227 | (4) |
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231 | (1) |
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232 | (3) |
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18.4 Potential and kinetic energy |
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235 | (3) |
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18.5 Kinetic energy of rotation |
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238 | (3) |
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Revision Test 6 Linear and angular motion, momentum and impulse, force, mass and acceleration, work, energy and power |
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241 | (1) |
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242 | (11) |
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19.1 Introduction to friction |
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242 | (1) |
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19.2 Coefficient of friction |
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243 | (1) |
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19.3 Applications of friction |
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244 | (1) |
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19.4 Friction on an inclined plane |
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245 | (1) |
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19.5 Motion up a plane with the pulling force P parallel to the plane |
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245 | (1) |
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19.6 Motion down a plane with the pulling force P parallel to the plane |
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246 | (1) |
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19.7 Motion up a plane due to a horizontal force P |
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246 | (3) |
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19.8 The efficiency of a screw jack |
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249 | (4) |
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253 | (9) |
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253 | (2) |
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20.2 Motion on a curved banked track |
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255 | (1) |
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256 | (2) |
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20.4 Motion in a vertical circle |
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258 | (2) |
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260 | (2) |
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21 Simple harmonic motion |
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262 | (7) |
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21.1 Introduction to simple harmonic motion (SHM) |
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262 | (1) |
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21.2 The spring-mass system |
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263 | (2) |
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265 | (1) |
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21.4 The compound pendulum |
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266 | (1) |
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21.5 Torsional vibrations |
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267 | (2) |
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269 | (12) |
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269 | (1) |
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22.2 Force ratio, movement ratio and efficiency |
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269 | (2) |
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271 | (2) |
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273 | (1) |
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273 | (2) |
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275 | (4) |
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Revision Test 7 Friction, motion in a circle, simple harmonic motion and simple machines |
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279 | (2) |
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Part Four Heat Transfer and Fluid Mechanics |
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281 | (79) |
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23 Heat energy and transfer |
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283 | (13) |
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284 | (1) |
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23.2 The measurement of temperature |
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285 | (1) |
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23.3 Specific heat capacity |
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285 | (2) |
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287 | (1) |
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23.5 Latent heats of fusion and vaporisation |
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288 | (1) |
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23.6 A simple refrigerator |
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289 | (1) |
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23.7 Conduction, convection and radiation |
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290 | (1) |
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290 | (1) |
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23.9 Use of insulation in conserving fuel |
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291 | (1) |
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291 | (1) |
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23.11 Calorific value and combustion |
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291 | (1) |
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291 | (5) |
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296 | (9) |
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296 | (1) |
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24.2 Practical applications of thermal expansion |
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297 | (1) |
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24.3 Expansion and contraction of water |
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297 | (1) |
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24.4 Coefficient of linear expansion |
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297 | (2) |
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24.5 Coefficient of superficial expansion |
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299 | (1) |
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24.6 Coefficient of cubic expansion |
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300 | (4) |
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Revision Test 8 Heat energy and transfer, and thermal expansion |
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304 | (1) |
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305 | (21) |
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306 | (1) |
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307 | (2) |
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309 | (1) |
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25.4 Atmospheric pressure |
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310 | (1) |
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25.5 Archimedes' principle |
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311 | (2) |
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25.6 Measurement of pressure |
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313 | (1) |
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313 | (2) |
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25.8 Absolute and gauge pressure |
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315 | (1) |
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315 | (1) |
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25.10 The Bourdon pressure gauge |
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316 | (1) |
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317 | (1) |
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25.12 Hydrostatic pressure on submerged surfaces |
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318 | (1) |
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25.13 Hydrostatic thrust on curved surfaces |
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319 | (1) |
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319 | (1) |
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25.15 The stability of floating bodies |
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319 | (7) |
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326 | (12) |
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26.1 Differential pressure flowmeters |
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326 | (1) |
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327 | (1) |
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328 | (1) |
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328 | (1) |
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328 | (2) |
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26.6 Mechanical flowmeters |
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330 | (1) |
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26.7 Deflecting vane flowmeter |
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330 | (1) |
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330 | (1) |
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26.9 Float and tapered-tube meter |
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331 | (1) |
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26.10 Electromagnetic flowmeter |
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331 | (1) |
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26.11 Hot-wire anemometer |
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332 | (1) |
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26.12 Choice of flowmeter |
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332 | (1) |
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26.13 Equation of continuity |
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333 | (1) |
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26.14 Bernoulli's equation |
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333 | (2) |
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26.15 Impact of a jet on a stationary plate |
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335 | (3) |
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338 | (11) |
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338 | (2) |
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340 | (1) |
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27.3 The pressure or Gay-Lussac's law |
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341 | (1) |
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27.4 Dalton's law of partial pressure |
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342 | (1) |
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27.5 Characteristic gas equation |
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343 | (1) |
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27.6 Worked problems on the characteristic gas equation |
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343 | (2) |
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27.7 Further worked problems on the characteristic gas equation |
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345 | (4) |
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28 The measurement of temperature |
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349 | (11) |
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28.1 Liquid-in-glass thermometer |
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349 | (2) |
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351 | (1) |
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28.3 Resistance thermometers |
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352 | (2) |
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354 | (1) |
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354 | (2) |
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28.6 Temperature indicating paints and crayons |
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356 | (1) |
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28.7 Bimetallic thermometers |
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356 | (1) |
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28.8 Mercury-in-steel thermometer |
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356 | (1) |
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356 | (1) |
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28.10 Choice of measuring devices |
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357 | (2) |
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Revision Test 9 Hydrostatics, fluid flow, gas laws and temperature measurement |
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359 | (1) |
| A list of formulae for mechanical engineering principles |
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360 | (5) |
| Metric to Imperial conversions and vice versa |
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365 | (1) |
| Greek alphabet |
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366 | (1) |
| Glossary of terms |
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367 | (5) |
| Answers to multiple-choice questions |
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372 | (2) |
| Index |
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374 | |
