Question

Problem3 The following problem is intended to be solved by hand. For the structure shown below A.) Label the structure degrees of freedom (free only) and number the elements B.) For each element, determine the stiffness matrix in global element coordinates. Label each row and column of each element matrix with its corresponding global DoF. C.) Assemble the structure stiffness matrix Kfr from the element global stiffness matrices D.) Calculate the deflection of the free DoFs. 5 ft 500 k 1000 k 5 ft 5 ft E 29000 ksi A 5 in

Answer 1

A) SODK2 000K 12 3 A = 5in2 [3] 5ft AE=NS000 kips 5ft@↑ Elemental stifness mahix 2 2. K, - AE 5ft 5化 Member 2> I 0- O 0 0 0 0 2 5ft

-> Member 3: Sft c2= 0.5 , cs-0.5 , s2:05 2. 0.5 0.5 -0.5-0.5 c). Shutral Stifness mabix:-> 2 3 4 6 0 5ft O 0 20-1 o o ½.5 1.35418

of feedm K 3 1.354 ½Ni_1 Sft 0 o)Delech- 5 -0.0424 0.003y -0.0700 스3 | | -0.0207 - O. 5088 0. oyo8 |inche 0. 84 O.248