A steel bar with two circular holes drilled through it is subjected to a centric axial load P as shown. Determine the maximum allowable value of P. Take the allowable stress to be 120 MPa. 15 mm 100 mm 20 mm 50 mm B P 48 kN 84 kN None of these 41 kN 32 kN
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This is typically at the smallest cross-sectional area, which is at the larger hole (20 mm diameter) since it reduces the area more significantly. Show more…
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(a) The bar shown below is subjected to a tensile load of 160 kN. If the stress in the middle portion is limited to 150 MN/m^2, determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.2 mm. Young's modulus is E = 210 GN/m^2. (b) If, in order to reduce weight whilst keeping the external diameter constant, the middle portion is bored axially to produce a cylinder of uniform thickness, what is the maximum diameter of the bore possible given that the maximum allowable stress of the middle portion is 180 MN/m^2? The load can be assumed to remain constant at 160 kN. (c) What will be the change in the outside diameter of the middle portion under the limiting stress quoted in (b)? Take v = 0.3.
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Find the maximum stress induced in the following cases, taking stress concentration into account: (a) A rectangular plate 60 mm x 10 mm with a hole 12 mm in diameter, as shown in Fig. (a), subjected to a tensile load of 12 kN. Theoretical stress concentration factor, Kt = 2.5. (b) A stepped shaft as shown in Fig. (b), carrying a tensile load of 12 kN. Theoretical stress concentration factor, Kt = 1.64.
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