Question

An aluminum tube with outside diameter of 2 in and inside diameter of 1.5 in is cantilevered and loaded as shown. Using the formulas in Table A-9 and superposition, find the deflection at B. Take the magnitude of force (Fl) to be 302 lbf and the magnitude of force (F2) to be 201 lbf. F1 F2 2 ft 2 ft The deflection at Bis inch in the (Click to select) direction.

Answer 1

Gires :- douter = 2 inch dinner = 1.5 inch. 302 201 O A B 2 - 2 - o Deflection at B due to fi 302 h B Z SBI from table Ag SBI= Fa² (a-30) GEI at B x=4 a=2 SBI = 302x2² (2-3 (43) 6EI SBI - 6040 3 EI

Deflection at B due to Farid 201 SB2 4 from table Ag SB2 = Fa² (*2-31) КЕТ 150 at B, n=4 ,d=4 (4-3x4) SB2= 2018 42 SEI SB2= - 4288 EI oldot By superposition deflection at e is given by, ( SB= SBit SB2 -6040 3 EI Se - 18904 3 EI 4288 EI -

Now we have to find EfI for aluminium, take, E= 1x107 eblinch? & I - II (doch - dink) 64 19 T (24 64 1154) I = 0.53689 inch 4 deflection is given by SB = - 18904 3 (1103) (6.53689) SB = -0.0oll Inch that means, SB= 0.0011 inch in downward direction.