Q.2. A bolt is subjected to a tensile load of 18 kN and a shear load of 12 kN. The materia has an yield stress of 328.6 MPa. Taking factor of safety as 2.5, determine the core diameter of bol according to the following theories of failure. (1) Rankine's theory, (ii) Shear stress theory, (iii) Shear energy theory and (iv) Saint Venant's theory. Take Possion ratio = 0.298

Required information A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa. Using the distortion- energy and maximum-shear-stress theories, determine the factors of safety for the following plane stress states. 0x² =104 MPa, 0y = 19 MPa, and Txy = -19 MPa I The factor of safety from the maximum-shear-stress theory is 3.8 3.45 and the factor of safety from the distortion-energy theory is

Problem 19.1 The shaft shown in the following diagram is supported by two self-aligning bearings at A and B and is subjected to the loads shown on the chain sprockets. 50 mm 100 mm. 100 mm F 30 mm 3000 N 100 mm 50 mm

Two steel plates are held together by two bolts. (/6) a. Determine the required diameter of the bolts if the failure shear stress is 300 MPa using a Factor of Safety (FS) of 2. b. Using the answer from a. above, determine the steel plate thickness if the failure bearing stress of the steel is 350 MPa using FS = 1.5. Show your work. OKN Two Bolts P=60KN

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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

Why does the answer of this problem consider radial stress if it is a thin walled?

The principal stresses at a point in a critical section of a machine component are sigma_{1} = 60MPa, sigma_{2} = 5MPa and sigma_{3} = - 40MPa For the material of the component, the tensile yield strength is sigma_{y} = 200 MPa According to the maximum shear stress theory,what is the factor of safety.

Please provide the correct solution asap. Handwritten recommended

The material for the bolt shown in Figure 2, the angled joint has an ultimate tensile strength of 600 MPa and shear strength of 300 MPa. The diameter of the bolt is 10 mm. Determine the factor of safety. Assume force of F = 25 kN. F+ 60% Figure. 2 F