A F F W2 d A Section A-A The following figure shows the free-body diagram of a connecting-link portion having stress concentration at three sections. The dimensions are r = 0:25 in, d = 0:75 in, h = 0:50 in, w1 = 3:75 in, and w2 = 2:5 in. The forces F fluctuate between a tension of 4 kip and a compression of 16 kip. Neglect column action and find the least factor of safety if the material is cold-drawn AISI 1018 steel.

Solve the following problems The composite bar in the figure is made of two segments AB and BC, having a diameter of 12 mm and 8 mm respectively. The you modulus of elasticity EAB = 90 GPa and EBC= 80GPa Critically evaluate the deformation of the bar shown under the given loads. the missing force F1 325KN. F=40KN F= kN A 4m 4.2m

Problem 2 In the system below, two rigid bodies (Nodes 1 and 3) are connected by four springs to walls on either side, as shown in the figure. Nodes 2 and 4 are fixed (wall). An external force of 10 N is applied to body 1 (Node 1). The spring constants are given as kı=10 N/m, k2=20 N/m, k3=30 N/m, and k4=40 N/m. Assume that the bodies can only undergo translation in x-direction (1 DOF). Using the direct method: a) Find the displacements of the two rigid bodies (Nodes 1 and 3). Hint: units! b) Find the reaction force at the left wall (Node 4). Hint: units! E1 E2 3) F1 www 4 Е4 X

An artist designs a mobile of light horizontal rods connected by vertical strings and supporting various shaped weights (see figure below). Find the magnitudes w₂, W3, and w4 if W1 2.56 units of weight. The numerical values given in the figure all have units of length. W2 = 7.68 W3 = 9.75 W4 = = 10.24 X X units of weight units of weight units of weight 30.0 10.0 W2 30.0 30.0 W3 20.0 10.0 WA