The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of B with respect to C and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum Eal = 70 GPa AAB = 58 mm² 9 kN A Copper Ecu = 126 GPa ABC = 77 mm² 450 mm B 16 kN 16 kN -300 mm- Steel Est = 200 GPa ACD= 39 mm² 8 kN 8 kN 400 mm D 7 kN

Two loads P act as shown, one parallel to (x0) and another parallel to z0; each load P equals 2.5 kN. The crankshaft dimensions are b1 = 80 mm, b2 = 135 mm, and b3 = 55 mm. The diameter of the upper shaft is d = 26 mm. Determine the normal stress at point B, which is located on the surface of the upper shaft at the yo axis. Yo Хо b3 Lütfen birini seçin: a. 149.606 MPa b. 324.676 MPa c. 139.544 MPa d. None e. 190.884 MPa

Calculate the shear stress at point "a" and the angle of torsion at the end of the bar (section A). The shear modulus of the material is G = 30 GPa

16 mm 16 mm A M B |--40 mm-|--40 mm-| B D Couple-moment M is applied to the beam, which has a cross-section, as shown in the Figure. if M = 458 Nm and ß =62 Determine the stresses at points A, B and D. Also determine the orientation of neutral axis measured from z-axis.

Two solid circular shafts (i.e., AB and BC) are fixed to rigid walls at point A and C, respectively. Members AB and BC are coupled together through a rigid plate at B. As shown in the figure, an external torque is applied at point B. Determine the absolute maximum shear stress developed in the whole structure AC. Both members AB and BC are made of the aluminum alloy with shear modulus G = 60 GPa. 150 mm 100 mm B 10 mm 5 kN-m Note: ignore the effect of stress concentration. 20 mm

A 28mm diameter steel shaft AB is built into a rigid wall at A and supported by a smooth bearing at B. The lever BC is welded to the end of the shaft. Load P 360 newton is applied as shown in the figure below. Determine the maximum shear stress and the angle of twist if the distance from A to B is 3 meters and the distance from B to C is .3 meters

4–3. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. *4–4. Determine the displacement of B with respect to C of the composite shaft in Prob. 4–3.

The wire BC has a diameter of 3.4 mm and the material has the stress-strain characteristics shown in the figure. Determine the vertical displacement of the handle at D if the pull at the grip is slowly increased and reaches a magnitude of (a) P = 2250 N, (b) P = 3000 N.

A hemp rope L=12 m long and d=42 mm in diameter is supported from one of the roof beams in a gymnasium. Three gymnasts climb this rope together. The lead gymnast has a mass of m1=50 kg, the next gymnast has mass m2=75 kg, and the trailing gymnast has mass m3=50 kg. Determine the maximum stress in the rope (omax), and the stress in the rope at a location between the intermediate and trailing gymanst (023).

Q3 The steel shaft, shown in the figure, is made from two segments: AC has a diameter of 30 mm and CB has a diameter of 55 mm. If it is fixed at its ends A and B, determine the magnitude of the applied torque T if the reaction at A is 75 N.m. Use G= 75 GPa. %3D 50 mm 25 mm T A B 1.5 m 0.75 m 1 m