Part 1.A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of analuminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁ - 50 mm and inside diameter d₁-30 mm.= 100 MPa, and theThe solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow)allowable shear stress of steel core (2) is (Tallow)2= 135 MPa. Determine(a) the allowable torque T that can be applied to the composite shaft.(b) the corresponding torques produced in tube (1) and core (2).(c) the angle of twist produced by the allowable torque T.TD₁LCalculate the polar moment of inertia, J₁, of the aluminum tube.Answer: J₁(106) mm².

Introduction: When two shafts having variation in diameters are joined together to form one shaft,…

A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁-50 mm and inside diameter d₁-30 mm. The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow); = 100 MPa, and the allowable shear stress of steel core (2) is (Falkow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T di D₁ B Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) mm.

A composite assembly of length, L-375 mm, consisting of a steel (G-77 GPa) core (2) connected by rigid plates at the ends of an aluminum [G-35 GPa) tube (1) is shown. The aluminum tube has outside diameter D₁-50 mm and inside diameter d₁-30 mm. The solid steel core has diameter d₂-25 mm. The allowable shear stress of aluminum tube (1) is (rallow); = 100 MPa, and the allowable shear stress of steel core (2) is (Falkow)2= 135 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T di D₁ B Calculate the polar moment of inertia, J₁, of the aluminum tube. Answer: J₁ (106) mm.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

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.
Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 5 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 7 mm in diameter. Assume a = 560 mm, b = 280 mm, h = 450 mm, and 0= 70%. If the normal stress in tie rod (1) cannot exceed 200 MPa and the shear stress in pin B cannot exceed 140 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) a Answer: Pmax= i B KN
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
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.50 in., the diameter of brass rod (2) is 1.75 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial normal stress in each of the three rods. Assume P = 5 kips, Q = 3 kips, R = 13 kips and 5 = 24 kips. The normal stress is positive if tensile and negative if compressive. σ₁ = Answers: 0₂ = (1) 03 = (2) i i A Q B C D ksi ksi ksi
A shaft fixed to a wall at B is made of an outer steel tube of 1" outer radius (G = 11,400 ksi) bonded to an inner solid brass core (G = 5200 ksi) of 0.5" radius. For the torque applied at A determine the maximum shear stress in each material and the rotation of A. Note: Each material carries part of the total applied torque. Treat end A %3D as a joint. Ans: 1977 psi steel, 451 psi brass 4 ft 0.5 in. 1 in. T= 250 lb-ft (a) all cunnorted at A and B. For
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 24 ksi, and the normal stress in steel rod (3) must be limited to 12 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 9 kips, Q = 4 kips, R = 18 kips and S = 21 kips. Calculate the internal force (positive if tensile, negative if compresive) in rod (1). Use a FBD cutting through the rod in the section that includes the free end A.Answer: F1 = ? kips.
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=33P=33 kipskips is applied to the assembly at A, two loads of Q=30Q=30 kipskips are applied at B, and two loads of R=35R=35 kipskips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 1717 ksiksi. The normal stress magnitude in steel rod (2) must be limited to 3030 ksiksi. The normal stress magnitude in brass rod (3) must be limited to 2121 ksiksi. Determine the minimum diameter required for each of the three rods.
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC, and CD are AAB = 0.09 in², ABC = 0.15 in², and Acp = 0.05 in², respectively. The modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. (Figure 1) Figure Aluminum Eal = 10(10³) ksi 2.00 kip -18 in- Copper Ecu = 18(10³) ksi 3.50 kip 13.50 kip -12 in- Steel Est = 29(10³) ksi 1.75 kip 1.75 kip -16 in- 1.50 kip 1 of 1 Part A Determine the normal stress in section AB. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Part B Determine the normal stress in section BC. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. OBC = Submit Part C OCD =…
Pipe (2) is supported by a pin at bracket Cand by tie rod (1). The structure supports a load Pat pin B. Tie rod (1) has a diameter of 10 mm and an allowable normal stress of 70 MPa. Pipe (2) has an outside diameter of 44 mm, a wall thickness of 8 mm, and an allowable normal stress of 170 MPa. Assume x1 = 2.9 m, x2 = 1.9 m, and y1 = 4.3 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. B (1) (2) Answer: Pmax i kN
The yoke and rod connection assembly shown in the figure below is subjected to a tensile force of 5 kN. I Determine the tensile stress in each rod. Determine the shear stress in pin A between the members. If each rod is 600 mm long, determine the overall extension of the assembly. Ignore any stretch in the joint. 40 mm 5 kN. 30 mm 25 mm 5 kN
The L-shaped rigid bar shown is pin connected at C, welded to a rigid bar AB at point B, and rests on a composite bar at D. Rigid bar AB is attached to two identical rubber (G = 150 MPa) pads with the shown dimensions and having a thickness of 30 mm each. Meanwhile, composite bar DE is made of hollow aluminum (with outer diameter do and inner diameter di, E = 70 GPa) surrounding a solid steel rod (diameter = di, E = 200 GPa). Determine the maximum force P that can be applied to the rigid bar at B if the allowable normal stresses in aluminum and steel are 80 MPa and 200 MPa, respectively and the shear stress in rubber is 30 MPa.Use the following values:Parameters s = 135 mm x = 3.8 m y = 5.5 m do = 60 mm di = 35 mm
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.