. 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.

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).

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.

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

An element of material is deformed as depicted in the figure. Assuming that the modulus of rigidity....

Qu 7 The bar is subjected to a moment of M = 17.5Nm Ifr=5 mm, determine the maximum bending stress in the material. Express your answer in MPa to three significant figures. W h= 86 20 =4 1518 كاء h 20 = 0.25 6max-K =1.5(175 M 2.0 80 mm 7 mm 20 mm мс 1.9 I 1.8 1.7 W 1.6 4 K W 1.5

Strength material

A compound steel [G= 70 GPa] shaft consists of a solid 59-mm-diameter segment (1) and a solid 31-mm-diameter segment (2). The allowable shear stress of the steel is 72 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to Pc ≤ 2.6%. Assume L₁-0.9 m and L₂=1.4 m. Determine the magnitude of the largest torque Tc that may be applied at C. Answer: Tc= i L₁ (1) B (2) L2 N-m. Tc C X

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Find the max shear stress in a 200mm tall, 150mm wide rectangular cross section using the appropriate reduced shear stress equation. Assume Vmax = 12kN. Find the max shear stress in a W12x50 cross-section using the appropriate estimated shear stress equation. Assume Vmax = 236kips.