. A solid circular rod of diameter d undergoes a bending moment M = 1,139 lbf ⚫ in inducing a stress σ = 32M/(лd³). Using a material strength of 22 kpsi and a design factor of 2.5, determine the minimum diameter of the rod in inch.

A flange coupling connects two shafts to transmit 40 kW at 900 rpm. The flanges of the coupling are fastened by 6 bolts of the same material. The bolts are equally spaced around the circumference of the bolt circle. The arc on the bolt circle between two adjacent bolts measures approximately 52.36 mm. Find the size of the bolts if the allowable shear stress for the bolt material is 30 MPa.

An 1.5-meter shaft supports a gear weighing 37 kN at the center. What is the diameter of the shaft in mm if its bending stress is not to exceed 50 MPa?

Determine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C that can resist a moment. (Image taken from Statics and Mechanics of Materials by Beer, Johnson, DeWolf and Mazurek) T₁ = 300 N-m 30 mm TB = 400 N-m 46 mm 055 Shear Stress in AB = Shear Stress in BC= B 0.9 m 0.75 m units: units:

Two solid circular shafts are connected through a flange bolt coupling consisting of 3 circular bolt rows. The free ends of the shafts are to be subjected by equal torque. Solid Shafts Diameter (mm) Length (m) Shear Modulus (GPa) Shaft A Shaft B 65 66 3 3.8 81 84.6 Flange-bolt coupling Bolt Circle Diameter (mm) Bolt Alowable Shear Stress (MPa) Bolt Diameter Shear Modulus Number of Bolt Row (mm) (GPa) Bolts 1 95 14 77 35 4 2 116 17 97 42 10 3 135 13 93 49 14 A Calculate the torque capacity of the flange-bolt coupling (kN-m). B. Calculate the stresses in both shaft if the torque capacity is applied at both ends (MPa). C. Calculate the total angle of twist (in degrees).

1) Consider a hollow shaft. A torque T is applied to this shaft and the resistance to the applied torque due to r, is 2T/3. It is desired to reduce this resistance to T/3 by changing the inner radius r, while keeping outer radius r₂ constant. Calculate the ratio of initial and final dimensions of radius r₁.

A solid steel bar with a circular cross-section has diameter 50 mm, length 1.5 m and shear modulus of 80 GPa. If the allowable shear stress is 48 MPa and the allowable angle of twist is 2.0 degrees, then what is the maximum permissible torque? State your answer in Nm to 1 decimal place.

Values are m= 360mm n= 375mm q= 24mm r= 18mm P= 0.6kN

5) Find the maximum shear stress in each shaft for the following arrangement. Assume the diameter value of all shafts is same (50 mm) and material is steel (G-85 GPa) Dimensions in mm 40 500 Nm

Strength material