DATA TABLE Acceleration due to gravity on the Moon (gmoon) = 1.62 m/s2 Young's modulus for Al (E)= 71 GPa Young's modulu

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Data Table Acceleration Due To Gravity On The Moon Gmoon 1 62 M S2 Young S Modulus For Al E 71 Gpa Young S Modulu 1 (118.15 KiB) Viewed 44 times

DATA TABLE Acceleration due to gravity on the Moon (gmoon) = 1.62 m/s2 Young's modulus for Al (E)= 71 GPa Young's modulus for Ti (E) = 110 GPa Young's modulus for soil (E) = 0.6 MPa Density of Al = 2710 kg/m3 Density of Ti= 4510 kg/m Poisson’s ratio for engineering materials v=0.35 Poisson's ratio for soils v=0.3 Lunar regolith density, p= 1500 kg/m3 Lunar regolith friction angle o=40° Lunar regolith cohesion c= 0.5 kN/m² Lunar regolith modulus of cohesion of soil deformation ke = 1.4 x 103 N/m² Lunar regolith modulus of friction of soil deformation ko = 8.2 x 10% N/m3 = 1 NASA's ATHLETE (all-terrain hex-limbed extraterrestrial explorer) lunar rover chassis comprises six wheels each mounted onto an articulated leg. Each of its six wheels has a diameter of 0.71 m and width of 0.2 m. The articulated legs allow the rover to step over obstacles up to 1.5 m in height above the lunar surface. The mass of the chassis itself is 850 kg. It carries a 2.34 m diameter by 3.66 m long habitat module which fully laden masses at 15 metric tonnes, i.e. total rover mass of 15.85 tonnes on the Moon.
4. For the wheeled version of ATHLETE and its habitat payload on a Gerstner soil with a circular ground contact area of 0.0413 m² per wheel, compute (a) modulus of soil deformation due to sinkage, k; (b) US Federal Highway Administration stiffness parameter in lunar soil, and the normal stress under each wheel at a wheel contact angle of 0° assuming equal weight distribution above each wheel using (c) the Boussinesq equation; (d) the Bernstein-Goriatchkin relation; and (e) the Reece load-sinkage equation. (20 marks)