Thomas Gutierrez Austin Shoemaker Shane Upchurch Ryan Kaysen Joey Miller Kevin Liekweg Engineering Analysis Mobile Laptop Desk

Agenda Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Free Body Diagram AyAy AxAx P max S SySy SxSx S SxSx SySy F bb F bj CyCy CxCx B F lw A B DE 12” 14.5” P Ѳ

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Free Body Analysis "These are the given weights in the system" W_b=5 [lbm] "weight of the back pack" W_bj=4 [lbm] "weight of the arms" W_lw=25 [lbm] "weight applied at the laptop center of gravity“ "These are the given dimensions of the apparatus" L_v=15 [in] "vertical distance of back brace" L_1=14.5 [in] "length of first arm" L_2=14.5 [in] "length of second arm" L_lw=0 [in] "center of gravity correction for weight of laptop" L_b=3 [in] "center of gravity correction for weight of book bag" L_t=L_1+L_2 B = Force on waist of user P = Force on shoulders of user

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Free Body Analysis Summation of moments around top of shoulder straps: (1/3)* Lm_v*P-Lm_b*F_b-Lm_v*B+Lm_1*F_bj+(Lm_t- Lm_lw)*F_lw-Lm_v*C_x=0 Summation of moments around bottom of should straps: (-2/3)*Lm_v*P+Lm_v*A_x-Lm_b*F_b+Lm_1*F_bj+(Lm_t- Lm_lw)*F_lw=0 Summation of moments around arm joint D: (-2/3)*Lm_v*P+Lm_v*A_x-(Lm_1+Lm_b)*F_b+(Lm_2- Lm_lw)*F_lw+Lm_1*C_y+Lm_1*A_y=0

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Free Body Analysis Worst Case With laptop center of gravity (L_lw = 0 [in]) at max distance from user and backpack weight, W_b = 5 lbm. B = [N] (roughly 43.1 lbm on waist of user) P = [N] No Laptop Case With backpack weight, W_b = 5 lbm, and with no laptop placed on apparatus. B = [N] (roughly 3.4 lbm on waist of user) P = [N] Backpack Weight Case With backpack weight increased (W_b = 20 lbm) (i.e. several books in bag) and laptop on apparatus at L_lw = 4 [in]. B=59.76 [N] (roughly 13.4 lbm on waist of user) P=277.8 [N] Realistic Case With laptop center of gravity 4 inches from end of arms (L_lw = 4 [in]). Also backpack weight increased slightly (W_b=10 lbm) (i.e. about one book). B=118.6 [N] (roughly 26.6 lbm on waist of user) P=291.2 [N]

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Deflection Analysis E = ksi P = Load of laptop (At End of Beam) L = Length of arms (Joint assumed to be rigid) D o = Outer diameter of tubing D i = Inner diameter of tubing (Using Aluminum)

Introduction Free Body Diagram Free Body Analysis Deflection Analysis Materials Selection Deflection Analysis Aluminum tube with 7/8 inch outer diameter and 1/8 wall thickness. Deflects 2.25 inches with 60 pounds at end of beam (29 inches)

Arms: Aluminum Tube 7/8 inch with 1/8 inch wall thickness Joints: Plastic Table: Lexan Back Support: Plastic Introduction Free Body Diagram Free Body Analysis Materials Selection Deflection Analysis

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