A rigid bar AB of length L = 1600 mm is hinged to a support at A and supported by two vertical wires attached at points C and D such that AC = 500mm and AD = 1200mm Both the wires have same cross sectional area of 16 mm² and made of the same material having Young's modulus of 200 GPa. The wire at C has a length of 400 mm and that at D has 800 mm. Determine the tensile stresses in the wires and downward displacement at point B of the bar when a load of 1 kN is suspended at B.

(1) In the figure below, the cross section areas of rods AB and BC are A1, A2, and the Young's moduli are E1 and E2, respectively. For loads P1 and P2 applied as shown in the figure, (a) determine the normal stresses in rods AB and BC; (b) determine the deformation at C. D L1/2 A B C P1 P2 Li L2 A1, E1 A2, E2

A bar ABC length L consists of two parts of equal lengths but different diameters.Segment AB has diameter dt=100 mm,and segment BC has diameter d2 = 60 mm.Both segments have a length B2=0.6 m.A longitudinal hole of diameter d is drilled through segment AB for one half of its length (distance L/4 = 0.3 m).The bar is made plastic having a module of elasticity E=4.0 GPa.Comprssive loads P = 110 KN act at the ends of the bar. (a) If the shortening of the bar is limited to 8.0 mm.What is the maximum allowable diameter dma of the hole? (see the figure part a.) (b) Now if daxx is instead set at p1/2 . at what distanc h from end c should load P be applied to limit the bar shortening to 8.0 mm?(see the figure part b) (c) Finally if loads t are applied at the ends and "mm is the permissible length.v of the hole if shortening is to be limited to 8.0 mm?(see the figure part c)

2. A compressed bar having a square cross of width b must support a load P = 37kN. The two parts of the bar are connected by a glued joint along plane p-q, which is at an angle a = 40° to the vertical. The bar is constructed of a structural plastic for which the allowable stresses in compression and shear are 7.6 MPa and 4.1 MPa, respectively. In addition, the allowable stresses in the glued joint are 5.2 MPa in compression and 3.4 MPa in shear. 9 b Determine: a) compressive stress (MPa) in the glued joint b) shear stress (MPa) in the glued joint c) compressive stress (MPa) in the plastic bar d) max. shear stress (MPa) in the plastic bar e) the minimum width b (cm) of the bar based on shear in the glued joint as the failure mode ~2~