Question

Provide the formula please for each part solved

A solid hexagonal shaped casting of thickness 3 cm and each side as 8 cm is being casted in a sand mold. The distance from top of the pouring cup to the sprue bottom is 20 cm, which is along the parting line. The diameter of the circular cross section at the base of sprue is 1.5 cm. The part is fully buried in drag side of the mold and top surface of the casting is along the parting line. The mass density of molten metal is 8000 kg/m3 Given: Area of triangle = base xheight 120 60 8 cm Thickness of the casting = 3 cm (a) Starting with Bernoulli equation, find the velocity of the molten metal at the base of the sprue, if the pouring basin is overflowing. Assume frictionless flow. (b) Determine the time required to fill the mold. (c) If the mass density of sand is 1600 Kg/m3, and the cope dimensions are 400mm x 400mm x 200 mm, check whether any clamping force will be needed. If needed then what will be the magnitude. (Show your calculations) (d) If a 1 cm3 cube casting of the same material takes 5 seconds to solidify, how long will the hexagonal shaped casting take to solidify?

Answer 1

This reguor hexgor canststs of 8 ст stoes, equllrtenl trwylos hautnz baye x helght triangle Usimg Pythogos themm h Area o one -42 herght, h 6. q22 em 2 2, Area of hexogan etrangle с m С velocdty of he motten meta As per Bernoulif eguahon, the velaidy df the motten metelfm a helght of 2o cm is spne moulof Ans) Aren of spru veloctty molkeh mepnl X Voleme time d? хV (d1.5 em) 4 x Volune tme =i.4a5 secorel Ans X 000 welght of the соре Ws o ume o cope (: *1ахи4тодуду) 1600 Boyony fore by molten metal = 3ymx g i FB AS W>F ,therfore no dampin is requind, s) (d) solid ficaton time (ts time taken for 1cm to soltclif s 5 secon Hme tauen for Aqs. x3 cm3 to soldk, te 5X 498.93- 2494 15 S 41.569 minu (AM)