Question

Sample Problem 3, The assembly consists of a 6061-T6-aluminum member and a C83400-red-brass member that rest on the rigid plates. Determine the distance d where the vertical load P should be placed on the plates so that the plates remain horizontal when the materials deform. Each member has a width of 8 in. and they are not bonded together 30 in. Aluminum Red 6 in. 3 in.

Answer 1

From the given data sum of vertical force in equal to 2000 epsiv v = 0 -p + f_d + F_br = 0 Take a moment about point 0 sigma H_0 - 0 F_l times 3.0 + F_br times 4.5 - P_d = 0 Express the deflection of assembly as follows delta = delta_br = delta_al F_br L/A_br E_hr = F_al L/A_al E_al F_al L/C_3 o tims 3 times 10) = F_br L/(30 times 6 times 14.5) 1.11 times 10^-3 fal = 3.83 times 10^-4 F_bv F_al = 0.345 F_hr P = 1.345 fal Determine the value of Dusing the relation 1.345 F_al + 1.34 Fal times 4.5 = 1.345 F_al d 7.3975 = 1.345 d d = 5.50 in thus, The value of d is 5.50 in