A steel shaft is 250mm long. It is subjected to a transverse bending load at its free end which varies from 100 180N and also a torque which varies from 100N.mm to 300N.mm. Determine its diameter taking a factor of sa of 2. Assume the following values: Yield stress Endurance limit Load factor in bending Load factor in torsion Stress concentration factor for bending Stress concentration factor for torsion Size factor Surface finish factor Notch sensitivity index =330MPa =300MPa =1 =0.55 =1.4 =1.6 =0.85 =0.9 =0.9

7. A shaft subjected to bending moment varying from -200 N m to +s00 N m and a varying torque from 50 N m to 175 N m. If material of the shaft is 30C8, stress concentration factor is 1.85, notch sensitivity is 0.95 reliability 99.9% and factor of safety is 1.5, find the diameter of the shaft. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of S kN. Find the diameter of bolt required according to Max imum principal stress theory; Max imum shear stress theory: Maximum principal strain theory: Maximum strain energy theory; and Max imum distortion energy theory. a. b. c. d. e. Take permissible tensile stress at elastic limit - 100 MPa and poisson's ratio - 0.3

Solid circular shaft is under bending and torsion loadings. Uniaxial tensile yield strength of the material is 180 MPa, torque applied is 15 kN.m and bending moment applied is  3 kN.m. Calculate the value of the diameter d of the shaft based on the maximum-shear-stress theory of failure (Tresca criterion). Assume safety factor of 3

Figure below shows a rotating shaft simply supported in ball bearings at A and D and loaded by a nonrotating orce Fof 6.8 kN. Using ASTM "minimum" strengths, estimate the life of the part. 6T td7 (a) Shaft drawing showing all dimensions in millimeters; all fillets 3-mm radius. The shaft rotates and the load is stationary; material is machined from AISI 1050 cold-drawn steel. (b) Bending moment diagram.

The beam below is subjected to a sinusoidal forcing function with Fmax = F and Fmin -F/2 where l 40 mm. The cross section is a rectangular with thickness (t) and height (h). The beam is in room temperature, it is ground, it is 90% reliable. Find the stress state in the beam due to this loading. choose the type of steel that will give a safety factor of 3 for N=5E8 cycles using Goodman. 1 т, а — 0.4 т, b %3D 0.6 т, F 500 N,I %3D 2.85Е — 08 m*, h - b |R1 R2

A steel rod is subjected to a reversed axial load of 180 kN. Find the diameter of the rod for a factor of safety of 2. Neglect column action. The material has an ultimate tensile strength of 1070 MPa and yield strength of 910 MPa. The endurance limit in reversed bending may be assumed to be one-half of the ultimate tensile strength. Other correction factors may be taken as follows: For axial loading (Ka) = 0.7; For machined surface (Ksur) = 0.8 ; For size (Ksz) = 0.85 ; For stress concentration(Kf)= 1.0.3.

The plate of the figure is subjected to a bending moment with irregular cycles, which are repeated. In the graphic one of this cycles is represented in terms of stress which appears in each section whose height is h. The piece is made of ductile steel. Determine the number of repetitions of the sequence which the piece can resist before the failure takes place due to fatigue considering a reliability of 95 %. Data: Sult = 1.000 MPa Syp 3D800 Mра thickness e = 4 mm H = 10 cm h = 5 cm r=1 cm ka = 0,72 kp = 0,95 S(MPa) M 400 h 300 200 100 W -100 -200

(Q6) A solid spring steel shaft in small engine with 5hp at 3000rpm is used as a torque measuring device at the rated load. Select a suitable length and diameter combination for this measurement assuming an angular deflection of 10.. The modulus of elastic of the spring steel 28.6x106 psi and the Poisson's ratio is 0.3.

QB2 SHEAR AND TORSION An aircraft engine develops 150kW at 1500rpm. The engine output shaft is steel which fails when the shear stress is 160N/mm². a) If the output shaft is solid, determine a suitable diameter to give a safety factor of three. b) If the shaft is hollow with an external diameter of 50mm, calculate a suitable internal diameter to give a safety factor of three. Also, determine the percentage saving in weight.

Solid circular shaft is under bending and torsion loadings. Uniaxial tensile yield strength of the material is 180 MPa, torque applied is 15 kN.m and bending moment applied is  3 kN.m. Calculate the value of the diameter d of the shaft based on the maximum distortion energy theory (von mises criterion). Assume safety factor of 1