4.3 The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loadingshown. Determine the displacement of end A with respect to end D and the normal stress in eachsection. The cross-sectional area and modulus of elasticity for each section are shown in the figure.Neglect the size of the collars at Band C.3.50 kip1.75 kip1.50 kip2.00 kipSteelBL3.50 kip1.75 kipAluminumCopperEst = 29 (10)³ Ksi-18 in--12 in--16 in-Ecu = 18 (10)3 KsiABC = 0.12 in?Eal = 10(10)³ KsiAcD = 0.09 6in²= 0.09 in?AAB

Answered: Image /qna-images/answer/635279a8-c2e8-479d-b2e1-a16cc1301073.jpg

Answered: 4.3 The composite shaft, consisting of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A 45-mm-diameter solid steel shaft supports loads PA = 1.1 kN and Pc = 2.2 kN as shown. Assume that L₁ = 155 mm, L₂ = 330 mm, and L3 = 240 mm. The bearing at B can be idealized as a roller support, and the bearing at D can be idealized as a pin support. Determine the magnitude of (a) the maximum horizontal shear stress in the shaft. (b) the maximum tension bending stress in the shaft. A L₁ Answers: (a) Tmax= (b) max = i B L2 Pc MPa MPa L3 D
Q3) a) Draw the free-body diagram for beam shown in the figure and determine the internal normal force and the normal stresses at the cross-sections a-a and b-b. d = diameter R=3 F-750N d=10mm 300 mm- a a ,=2870 N F27 -200 mm- d=16 mm 100 mm
A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1480 mm2. Assume a = 1.3 m, b = 6.0 m, and c = 3.6 m. If P = 55 kN and Q = 75 kN, determine the normal stress in each member. P Q Answers: OAB = i овс= i JAC = i a B b с MPa (C) MPa (T) MPa (T)
For the beam shown at right, determine the following: P= 1800 lb a. Maximum tensile bending stress b. Transverse shear stress at a the junction of the "TEE" (i.e., 2" above the neutral axis). c. Transverse shear stress at the neutral axis - 7.5 ft- - 7.5 ft- (a) d. Draw the stress elements -10 in. representing the state of stress at the junction of the “TEE" and at the neutral axis. | 2 in. 4 in. -N- 1600 10 in. 8 in. 42 in.k- (b)
A circular bracket with a diameter of 100 mm is fixed to a wall as shown in the figure below. Determine and draw the state of stresses in small infinitesimal cubic elements located at points M and N on the cross section A.
A steel core is bonded firmly to the copper tube (shell) to form the shaft shown. The length of the shaft is 450 mm and the end A is fixed to the wall. Take the shear modulus of steel and copper as 76 GPa and 38 GPa, respectively. The diameter of the core is 60 mm and the outer diameter of the shaft is 100 mm. Determine the maximum external torque (Tmax) so that the absolute maximum shear stress for any point H on the surface of the copper shell does not exceed 50 MPa. 450 mm A 100 mm 60 mm В Tmax =? kN · m
The rectangular bar is connected to the support bracket with a 19-mm-diameter pin. The bar width is w = 75 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 120 MPa, the bearing stress in the bar cannot exceed 150 MPa, and the bearing stress in the bracket cannot exceed 150 MPa. Determine the maximum value of Pmax that can be supported by the structure. Answer: Pmax=
The mechanism below consists of a solid shaft with a diameter of 2 in between A and B and a hollow shaft with an outside diameter of 7 in and a thickness of 1/2 in between B and C. A torque T = 3 kip-in is applied as shown at A and two forces, each P = 322 lb, are applied as shown at the ends of the levers connected to Point B. Determine the shear stress that occurs on the exterior of the hollow shaft between B and C. Express answer in nearest whole psi.
The frame is loaded by a distributed load of intensity q as shown. Consider -25 in. only stress in the bars AC and BC. Each bar has a cross-section that is 0.75 in by 1.5 in. If the allowable normal stress is 5000 psi, determine the maximum allowable value for the distributed load intensity q. 40 in.
For the beam shown in the figure: Determine the normal and shear stress at a point located at 4.5 ft from support B and 4 inches from the top of the section. Draw the Mohr's circle for the stresses at that point and calculate the principal stresses and the max in plane shear stress as well as their directions. Show these stresses on appropriately oriented elements. A 1600 lb 1.5 ft 80 lb/ft -9 ft B 1.5 in. 4 in 11.5 in.
2 kip/ft 6 in 10 in B. 40 kip 16 in D. 16 In 5 ft 5 ft 10 ft The simply-supported beam-column above is subjected to a uniformly distributed load and an axial load, as shown. Assume that the Internal resultants on the cross-section passing through point D are as follows: • ND -40 kip • VD 0 Mp = +100 kip-ft Which of the following is closest to the longitudinal normal stress at point D? O-78.1 psi +235 psi O-153 psi O-1.77 ksi H:
4) The composite shaft consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has a diameter of 18 mm, a length of L₁ = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L₂ = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 Nm is applied to flange B, determine (a) the maximum shear stress magnitudes in segments (1) and (2). (b) the rotation angle of flange B relative to support A. N y A 235 mm (1) B 165 mm 270 N-m (2) C x

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