Q1) (A) Two solid circular cross-section bar as shown in the Figure. If the stress in left portion is limited to 150 MN /m2, determine the diameter of the left portion(D). Find also the length of the right portion(a) if the total elongation of the bar is to be 0.2mm. Young's modulus is E = 210 GN/m2. (B) If, in order to reduce weight whilst keeping the external diameter constant, the left portion is bored axially to produce a cylinder of uniform thickness, whatis the maximum diameter of bore possible given that the maximum allowable stress of the left portion is 180 MN/m²? The load can be assumed to remain constant at 160 kN. 0.03 m 160 kN 160 kN diameter K- 0.4 m

Problem # 4 A homogeneous bar with a cross-sectional area of 400 mm² is attached to rigid supports. It carries the axial loads P₁ = 35 kN and P₂ = 40 kN, applied as shown in the figure. Determine the stress in segment BC. B 0.60 m P₁ 1.20 m P₂ 0.90 m MONED

A horizontal load P is applied to an assembly consisting of two inclined bars, as shown in the figure.  The cross-sectional area of bar (1) is 1.30 in.2, and the cross-sectional area of bar (2) is 1.75 in.2.  The normal stress in either bar may not exceed 24 ksi.  Determine the maximum load P that may be applied to this assembly.  Assume dimensions of a=14.5 ft, b=9.0 ft, and c=14.5 ft.  Determine the allowable force F1 in member (1) and the allowable force F2 in member (2).

The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are xx = -A(L - x)y, and oxy = A(h² - 4y²); other stress components are zero. Here, L represents length and h is height. What is the strain component y xy A - (h² - y²) 8E O A A 8G - (h²-x²) - (h²-x²) 8E А A= (h²-y:²) 8G ?