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).
Mathematical calculations for deflection due to slope and bending.
Identifier | ExFiles\Box 127\1\ scan0370 | |
Date | 27th May 1938 | |
-4- (2) Deflexion of B below A due to slope. Let Ø = slope at A Ø = 1/EI (14,500a - 500a² - 4,000a + 200a²) = 1/EI (10,500a - 300a²) Deflexion = Ø (10 - a) = 1/EI (105,000a - 3,000a² - 10,500a² + 300a³) = 1/EI (105,000a - 13,500a² + 300a³) (3) Deflexion of B relative to A due to bending. Mx{John H Maddocks - Chief Proving Officer} = (10 - a - x) 400 EI d²y/dx² = -400 ((10 - a) - x) EI dy{F R Danby}/dx = -400 ((10 - a)x - x²/2) + Y EI y = -400 ((10 - a)x²/2 - x³/6) + Yx + δ as before Y = δ = 0 EIyB = -400 ((10 - a)³/2 - (10 - a)³/6) = -133 (10 - a)³ | ||