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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Comparative analysis of the properties and performance of light alloys (Aluminium, Magnesium) versus steel components.

Identifier  ExFiles\Box 154a\1\  scan0276
Date  8th March 1940
  
LIGHT ALLOYS VERSUS STEEL
COMPARATIVE PROPERTIES OF LIGHT ALLOY AND STEEL COMPONENTS.

MAIN ASSUMPTIONS.
| | STEEL | ALUMINIUM. | MAGNESIUM. |
|---|---|---|---|
| DENSITY - LBS/CU.INCH. | 0.283 | 0.099 | 0.065 |
| FATIGUE LIMIT - TONS/SQ.IN. (FORGINGS). | 12.0 | 8.0 | 6.0 |
| YOUNGS MODULUS - LBS/SQ.IN. x 10^6 | 30.0 | 10.0 | 6.0 |
| TORSION MODULUS - LBS/SQ.IN. x 10^6 | 12.0 | 4.0 | 2.4 |
| COEFFICIENT OF LINEAR EXPANSION PER °C. | 0.000013 | 0.000023 | 0.000025 |
| COEFFICIENT OF THERMAL CONDUCTIVITY-CAL{Mr Calvert}/CM^3/DEG C/SEC | 0.12 | 0.35 | 0.32 |

LINEAR PROPORTIONS OF SIMILAR CROSS SECTIONS AT MAX PERMISSIBLE STRESS.
| | STEEL | ALUMINIUM | MAGNESIUM |
|---|---|---|---|
| TENSION OR COMPRESSION. | 1.00 | 1.22 | 1.41 |
| BENDING, TORSION, VIBRATION. | 1.00 | 1.32 | 1.50 |
| SLENDER COLUMNS. | 1.00 | 1.42 | 1.58 |

COMPARISON OF BEAMS.
FIGURES FOR MAGNESIUM IN BRACKETS.

BEAMS OF CONSTANT WIDTH.
| BASIS OF COMPARISON | 1.00 STEEL (EQUAL DEPTH) | 1.00 ALLOY (1.00) (EQUAL STRENGTH) | 1.22 ALLOY (1.41) (EQUAL STIFFNESS) | 1.44 ALLOY (1.71) (EQUAL WEIGHT) | 2.80 ALLOY |
|---|---|---|---|---|---|
| WEIGHT | 100 | 35 (23) | 44 (33) | 52 (40) | 100 |
| STRENGTH | 100 | 67 (50) | 100 | 187 (146) | 520 (950) |
| STIFFNESS | 100 | 33 (20) | 61 (57) | 100 | 730 (1650) |
| DEFLECTION | 100 | 300 (500) | 163 (176) | 100 | 13.3 (6) |

BEAMS OF SIMILAR FORM.
| BASIS OF COMPARISON | 1.00 STEEL (EQUAL SECTION) | 1.00 ALLOY (1.00) (EQUAL STRENGTH) | 1.15 ALLOY (1.26) (EQUAL STIFFNESS) | 1.32 ALLOY (1.50) (EQUAL WEIGHT) | 2.09 ALLOY (1.58) |
|---|---|---|---|---|---|
| WEIGHT | 100 | 35 (23) | 47 (37) | 62 (52) | 100 |
| STRENGTH | 100 | 67 (50) | 100 | 153 (169) | 315 (455) |
| STIFFNESS | 100 | 33 (20) | 58 (50) | 100 | 264 (380) |
| DEFLECTION | 100 | 300 (500) | 174 (200) | 100 | 32 (26.2) |

GENERAL COMPARISON.
| KIND OF STRESS | MAIN ASSUMPTION | RATIO OF MAIN DIMENSIONS | AL/STEEL | MG/STEEL | MG/AL | RATIO OF SECTIONAL AREA | AL/STEEL | MG/STEEL | MG/AL | RATIO OF WEIGHTS | AL/STEEL | MG/STEEL | MG/AL | RATIO OF STRESSES | AL/STEEL | MG/STEEL | MG/AL |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| TENSION AND COMPRESSION | SAME ELONGATION OR COMPRESSION | sqrt(Eh/El) | 1.73 | 2.24 | 1.29 | Eh/El | 3.00 | 5.00 | 1.67 | (Eh*Wl)/(El*Wh) | 1.07 | 1.05 | 1.03 | Eh/El | 0.333 | 0.200 | 0.600 |
| TENSION AND COMPRESSION | MAX. PERMISSIBLE STRESS | sqrt(fh/fl) | 1.22 | 1.41 | 1.15 | fh/fl | 1.50 | 2.00 | 1.33 | (fh*Wl)/(fl*Wh) | 0.536 | 0.461 | 0.860 | 1:1 | 1:1 | 1:1 | 1:1 |
| STRESS DUE TO TEMPERATURE GRADIENT | | | | | | | | | | | | | | 2(El*CH)/(Eh*CL) | 0.200 | 0.153 | 0.750 |
| BENDING - WIDTH OF BEAM CONSTANT | CONSTANT DEFLECTION | cbrt(Eh/El) | 1.44 | 1.71 | 1.18 | sqrt(Eh/El) | 1.44 | 1.71 | 1.18 | ((Eh/El)^(2/3))*(Wl/Wh) | 0.515 | 0.313 | 0.760 | (El/Eh)^(2/3) | 0.485 | 0.342 | 0.710 |
| BENDING - WIDTH OF BEAM CONSTANT | MAX. PERMISSIBLE STRESS | sqrt(fh/fl) | 1.22 | 1.41 | 1.15 | fh/fl | 1.22 | 1.41 | 1.15 | (fh*Wl)/(fl*Wh) | 0.436 | 0.325 | 0.740 | 1:1 | 1:1 | 1:1 | 1:1 |
| BENDING - CONSTANT FORM OF SECTION | CONSTANT DEFLECTION | 4rt(Eh/El) | 1.32 | 1.50 | 1.14 | sqrt(Eh/El) | 1.73 | 2.24 | 1.29 | (Eh*Wl)/(El*Wh) | 0.620 | 0.517 | 0.832 | 4rt((El/Eh)^3) | 0.440 | 0.300 | 0.685 |
| BENDING - CONSTANT FORM OF SECTION | MAX. PERMISSIBLE STRESS | cbrt(fh/fl) | 1.15 | 1.26 | 1.09 | (fh/fl)^(2/3) | 1.31 | 1.59 | 1.21 | ((fh/fl)^(2/3))*(Wl/Wh) | 0.468 | 0.366 | 0.780 | 1:1 | 1:1 | 1:1 | 1:1 |
| SLENDER COLUMNS | MAX PERMISSIBLE STRESS | sqrt((Eh*fl)/(El*fh)) | 1.42 | 1.58 | 1.12 | (Eh*fl)/(El*fh) | 2.00 | 2.50 | 1.25 | Wl/Wh | 0.720 | 0.576 | 0.807 | 1:1 | 1:1 | 1:1 | 1:1 |
| TORSION | CONSTANT ANGLE OF DEFLECTION | 4rt(Th/Tl) | 1.32 | 1.50 | 1.14 | sqrt(Th/Tl) | 1.73 | 2.24 | 1.29 | (Th*Wl)/(Tl*Wh) | 0.620 | 0.517 | 0.832 | 4rt((Tl/Th)^3) | 0.440 | 0.300 | 0.685 |
| BENDING VIBRATIONS CONST. FORM OF SECTION | CONST. FREQUENCY OF FREE VIBRATION | 4rt(Eh/El) | 1.32 | 1.50 | 1.14 | sqrt(Eh/El) | 1.73 | 2.24 | 1.29 | (Eh*Wl)/(El*Wh) | 0.620 | 0.517 | 0.832 | cbrt(El/Eh) | 0.440 | 0.300 | 0.685 |

E = YOUNGS MODULUS, T = TORSION MODULUS, f = MAX PERMISSIBLE STRESS, W = DENSITY, a = COEFFICIENT OF LINEAR EXPANSION.
C = COEFFICIENT OF THERMAL CONDUCTIVITY. H = HEAVY, L = LIGHT.
DATA SUMMARISED FROM "BASES OF DESIGN IN LIGHT ALLOYS" IN "LIGHT METALS" OF JULY 1939.

ROLLS-ROYCE LTD.
PRINT F.O.C.
8 MAR 1940
DERBY.
  
  


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