Determine the largest axial load P that can be safely supported by a flat steel bar consisting of two portions, both 10 mm thick, and respectively 40 and 60 mm wide, connected by fillets of radius r= 8 mm. Assume an allowable normal stress of 165 MPa. 3.4 D d 3.2 30 „Dld = 2 28 15 26 1.3 24 C12 K 22 20 16 14 12 0 0.02 0.04 0.06 0.0S 0.1o 0.12 0.14 0.16 0.1S 0.20 0.22 024 0.26 025 0.30 rid

An aluminium alloy rod of length 1.8m and rectangular cross-sectional of area 250mm^2 is subjected to a compressive load of 45kN. Young's modulus and Poisson's ratio for the material are: E = 71 GPa and v =0.33. Determine the decrease in length and increase in area of the bar.

Determine the stress in each section of the bar shown below, which is subjected to an axial tensile load of (20KN). The central section is 30 mm Square cross -Section; the other portions are of circular section, their diameters being indicated. what will be the total extension of the bar? For the bar material (E = 210 GN/m²). 250 100 400 mm * * ↓ 20KN 20 KN ↓ 20 0 2 30mm 3 115

5. A brittle steel bar has the dimensions shown. Determine the maximum axial force P that can be applied not to exceed the allowable tensile stress of allow= 100 MPa. (Make sure to determine and account for the stress concentration factors). K 3.0 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 1.0 0 P 0.1 0.2 0.3 W h W h 30 mm - 4.0 = 3.0 W Jang W h W h II = || 24 mm it P ht 2.0- = 1.5. T AL W W 12 mm 1.2- - 0.4 0.5 0.6 0.7 0.8 0.9 r 1.0 K 60 mm 3.2 3.0 2.8 2.6 2.4 2.2 2.0 0 0.1 r = 15 mm P 0.2 2r avg 0.3 2r P (w – 2r)t 0.4 0.5

1- A 60 Ib box is held on a smooth incline by a rope passing over the surface of contact with the coefficients of static friction of 0.25. Find (a) the tension on the rope and (b) the magnitude and location of the normal force exerted on the box by the plane. 40° 15 in. 60 Ib 12 in. 30°

Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3950 mm2 and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 2900 mm2 and an allowable normal stress of 160 MPa. Assume x1 = 2.0 m, x2 = 3.0 m, y1 = 0.8 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.