Question

In the structure in Figure P36a, six wires support three beams. Wires and 2 can support no more than 1200 N each, wires 3 and 4 can support no more than 400 N each, and wires 5 and 6 can support no more than 200 N each. Three equal weights Ware attached at the points shown. Assuming that the structure is stationary and that the weights of the wires and the beams are very small compared to W, the principles of statics ap- plied to a particular beam state that the sum of vertical forces is zero and 1m 1m 1m 1m 1m m (a) T T W (b) T и Figure P36 that the sum of moments about any point is also zero. Applying these principles to each beam using the free-body diagrams shown in Figure P36b, we obtain the following cquations. Let the tension force in wire i be T For beam т+т, - т, +т, + W+ T. -T-4T4 5W 6T 7T=0 For beam 2 TT W T -W-2T + 3T 0 For beam 3 Ts T W W37 0 Find the maximum value of the weight W the structure can support. Remember that the wires cannot support compression, so T, must be nonnegative. Create a function below and use this function to solve the problem above, store the output (Maximum value of the weight W) as Wmax. function wmax calcMaxW(t1, t2, t3, t4, t5, t6)

Answer 1

bolance mamandn Te 42 3 balanc for ca T t T Te 2 ao 3 77 T6 T4 momanlam T- balana from wxst Tっ x子 momantiu balense T4X3= us xL T X CHL for ca balan a 3 T x3= T,t T2 Tt loこ 7 3 C balancs wt 2 cs9 T - 3- Tt T4 C 1200 ,T < l200 5s つT3 く 4o @Tt く4oo 6T 200 ralus, of T, お Te S Ts 20 ale tauting 76 36 u1200 (2 ( 1200 514 2 8 u 4 S 400 4S0 < 400 S30 3 く200 → Oniteris n G 300 definiy Sto

T4 Te T3 T2 212 factor of フ1g imitinlo arei'gh .2 1-2 .4 -2 N 1.66千 222 1.944 13099 904 3.33 T& funchon calc Max iroiting waigh 1 rmaz 2 2.3333 XIO we knou 2. 3- 3 I0 IO3 Ang -2