Q4: The mechanism shown in Figure is in equilibrium for an applied load of P-20 KN. Specifications for the mechanism limit the shear stress in the steel [G=80 GPa) shaft BC to70 MPa, the shear stress in bolt A to 100 MPa. and the vertical deflection of joint D to a maximum value of 25 mm. Assume that the bearings allow the shaft to rotate freely. Using L=1,200 mm, a=110 mm, and b= 210 mm, calculate (a) the minimum diameter required for shaft BC. (b) the minimum diameter required for bolt A. Bearings

Q4: The mechanism shown in Figure is in equilibrium for an applied load of P-20 KN. Specifications for the mechanism limit the shear stress in the steel [G=80 GPa) shaft BC to70 MPa, the shear stress in bolt A to 100 MPa. and the vertical deflection of joint D to a maximum value of 25 mm. Assume that the bearings allow the shaft to rotate freely. Using L=1,200 mm, a=110 mm, and b= 210 mm, calculate (a) the minimum diameter required for shaft BC. (b) the minimum diameter required for bolt A. Bearings

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.22P: -22 Two tubes (AB, BC) of the same material arc connected by three pins (pin diameter = d ) just...

See similar textbooks

Similar questions

A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate the allowable value of the compressive force if the yield stresses of sleel and aluminum are srs = 50 Ksi and ??A= 60 ksi, respectively. Assume that As= 12 in2. AA= 6 in2. L = 20 in., Es= 29,000 tsi and EA=10,600 ksi
Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure). The lengths of the segments of the bar are L1= 0.3 m and L2= 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress ??maxin the bar?
A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?
Repeat Problem 2.3-18, but assume that the bar is made of aluminum alloy. If P2= 200 kN, what is P1so that displacement
Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
A hollow circular pipe (see figure} support s a load P that is uniformly distributed around a cap plate at the top of the lower pipe. The inner and outer diameters of the upper and lower parts of the pipe are d1= 50 mm, d2= 60 mm, rf3 = 57 mm, and d1= 64 mm, respectively. Pipe lengths are Lt= 2 m and L, = 3 m. Neglect the self-weight of the pipes. Assume that cap plate thickness is small compared to I, and E,. Let E = 110 MPa. (a) If the tensile stress in the upper part is d = 10.5 MPa. what is load PI Also, what are reactions ft, at the upper support and R-, at the lower support? What is the stress ar(MPa) in the lower part? (b) Find displacement S(mm) at the cap plate. Plot the axial force diagram (AFD) [Ar(.f)] and axial displacement diagram (ADD)[5(.t)]. (c) Add the uniformly distributed load q along the censorial axis of pipe segment 2. Find q (kN/m) so that It, = 0. Assume that load P from part (a) is also applied.
A solid circular bar ABCD with fixed supports is acted upon by torques T0and 2T0at the locations shown in the figure. (a) Obtain a formula for the maximum angle of twist 0maxof the bar. (b) What is 0max if the applied torque T0at B is reversed in direction?
Solve the preceding problem for a steel pipe column (E = 210 GPa) with length L = 1.2 m, inner diameter d2= 36 mm, and outer diameter d2=40 mm.
A solid steel bar of diameter d1= 1.50 in. is enclosed by a steel tube of outer diameter d3= 2.25 in, and inner diameter d2= 1,75 in. (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has length L = 30.0 in., is twisted by a torque T = 5000 lb-in, acting on the end plate. Determine the maximum shear stresses r, and r2in the bar and tube, respectively. Determine the angle of rotation 0 (in degrees) of the end plate, assuming that the shear modulus of the steel is G = 116 × 106 psi. Determine the torsional stiffness kTof the composite bar.
Repeat Problem 2.3-4, but now include the weight of the bar. Sec Table 1.1 in Appendix I for the weight density of steel.
A ho 1 low st e el shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against rotation at ends A and B (see figure). Horizontal forces Pare applied at the ends of a vertical arm that is welded to the shaft at point C. Determine the allowable value of the forces P if the maximum permissible shear stress in the shaft is 45 MPa.
A stepped shaft ACE is held against rotation at ends A and B and subjected to a torque T0acting at section C(see figure). The two segments of the shaft (AC and CB) have diameters dAand dg, respectively, and polar moments of inertia IpAand IpBrespectively. The shaft has length L and segment AC has length a. For what ratio a/L will the maximum shear stresses be the same in both segments of the shaft? For what ratio a/L will the internal torques be the same in both segments of the shaft?