3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner radius and 30 mm outer radius. Shaft BC is solid with 30 mm radius. AB and BC T=5kNm are made of two different isotropic materials. Their Elastic modulus and Poissons ratios are given as EAB=210 GPa, VAB=0.3 and EBC=120 GPa, Vвс-0.25. A. Determine a) the twist angle at A b) the twist angle at B. B 5kNm torque is applied at A

3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner radius and 30 mm outer radius. Shaft BC is solid with 30 mm radius. AB and BC T=5kNm are made of two different isotropic materials. Their Elastic modulus and Poissons ratios are given as EAB=210 GPa, VAB=0.3 and EBC=120 GPa, Vвс-0.25. A. Determine a) the twist angle at A b) the twist angle at B. B 5kNm torque is applied at A

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.3P

See similar textbooks

Similar questions

A stepped shaft ACB having a solid circular cross sections with two different diameters and two different materials joined and attached at their ends, in the fisrt section AC of aluminum has a diameter of 20mm lenght of 225mm and G= 28x109 N/m2 and in the second section CB of steel has a diameter of 25mm leght 450mm and G=83x109N/m2. The torque appied is of 1000N.m and applied in the joint of the pieces. Determine the shear stress in both the aluminium and the steel.
two solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution please
A steel torsion bar AB with diameter d = 34 mm, and ductile material of tensile yield strength Sy = 276 MPa is attached to a rigid arm at A, supported by a bearing at C, and fixed at B, as the picture shows. At the right end of the arm is mounted the wheel on which the vertical force P acts from the ground and which passes through the center of the wheel. If bearing C acts as a simple support and the effect of transverse shear due to P is negligible, determine the maximum force P (in kN) that can be applied to the wheel. Consider a factor of safety n = 2.5. Use the maximum energy of distortion failure criterion and do the analysis on bar AB (torsion bar) in the section where the bearing is.
A shaft ABCD, 25 mm in diameter is subjected to torques of 1850 N-m at B and 2000 N-m at C acting in the samedirection. Segment AB is 4 m long, BC is 2 m long, and CD is 4 m long. Supports A and D are fixed and unyielding.G = 86 GPa. Determine the ff:A.) Reaction at A (N-m)B.) At what segment is the torsional stress largest? What is the stress on that segment? (MPa)C.) Angle of rotation between points A and C (radians)
The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares, each with a cross-sectional area of 340 mm2. bar (1) has a length L1 = 810 mm and bar (2) has a lenght L2 = 1080 mm. Assume dimensions of a = 480mm, b = 38mm, and c = 600mm. If the allowable normal stress in bars (1) and (2) must be limmited to 165 MPa each, determine: a) the maximum load P that may be applied at D to the rigid bar. b) The deflection at D for the load determined in part (a).
A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa.a) What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously.b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
A shaft ABCD, 25 mm in diameter is subjected to torques of 1850 N-m at B and 2000 N-m at C acting in the samedirection. Segment AB is 4 m long, BC is 2 m long, and CD is 4 m long. Supports A and D are fixed and unyielding.G = 86 GPa. A.) Reaction at A (N-m)B.) At what segment is the torsional stress largest? What is the stress on that segment? (MPa)C.) Angle of rotation between points A and C (radians)
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 22 ksi, and the normal stress in steel rod (3) must be limited to 13 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 7 kips, Q = 2 kips, R = 16 kips and S = 20 kips.
A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.
A copper tube with circular cross sectionhas length L = 1.25 m, thickness t = 2 mm, andshear modulus of elasticity G = 45 GPa. The bar isdesigned to carry a 300 N ? m torque acting at theends. If the allowable shear stress is 25 MPa and theallowable angle of twist between the ends is 2.5°, whatis the minimum required outer diameter d?
In the system shown, when a compression load P is applied to the rod, what is the bearing stress value in the bearings through which the d diameter pin passes? P = 10kN, pim çapı: d=20mm, bir yatağın kalınlığı: t = 10mm
A hydraulic press exerts a total load of 5.5 MN. This load is carried by two steel rodssupporting the upper head of the press. If the safe stress is 95 MPa and Young Modulus of209 KN/mm?. Find; (i) Diameter of the rods (ii) Extension in each rod in a length 3.5 m