A torque T = 40 kip-in. is applied at end A of the composite shaftshown. Knowing that the modulus of rigidity is 11.2 x 10° psi forsteel and 4 × 106 psi for aluminum, determine (a) the maximumshearing stress in the steel core, (b) the maximum stress in the alu-minum shell, (c) the angle of twist at A.

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Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

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Assume the transformed steel section reaches its allowable bending stress first. Calculate the magnitude of the allowable bending moment that can be applied in this case. Answer: M- i Ib-in.
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3.53 A torque T = 40 kip-in. is applied at end A of the composite shaft shown. Knowing that the modulus of rigidity is 11.2 × 10 psi for steel and 4 × 10 psi for aluminum, determine (a) the maximum shearing stress in the steel core, (b) the maximum stress in the alu- minum shell, (c) the angle of twist at A. 3 in. 2+in. Steel Aluminum Fig. P3.53 and P3.54 100 in.
The composite beam is made aluminum (A) and brass (B). If the height h-40mm determine the maximum moment that can be applied to the beam if the allowable bending stress for the aluminum is (Oallow) alu=128 MPa and for the brass (Oallow)brass= 35 MPa. Take Ealu=70 GPa and Ebras=105 GPa. 50 mm 150 mm
Brs coe (E- 105 GPa) PROBLEM 2.36 Alumim plates (E- 20 GPa) Rigd end plate An axial centric force of magnitude P = 450 kN is applied to the composite block shown by means of a right end plate. Knowing that h= 10 mm, detprmine the normal stress in (a) the brass core, (b) the aluminum plates. 300m
Required information Consider the loading shown. The allowable normal stress for the steel used is 160 MPa. 0.8 m 50 kN/m B -2.4 m- 0.8 m For the selected design, determine the actual value of Om in the beam. (Round the final answer to one decimal place. You must provide an answer before moving to the next part.) The actual value of om in the beam is 160 MPa.
1.(e) The state of plane stress shown occurs at a critical point of a steel machine component. As a result of several tensile tests. It has been found that the tensile yield strength is o, = 250 MPa for the grade of steel used. Determine the factor of safety with respect to yield using (a) the maximum shearing stress criterion, and (b) the maximum distortion energy criterion. ↑Y 40 MPa 80 MPa 25 MPa
SHOW COMPLETE SOLUTION AND DRAW THE FBD.
Problem 1 An axial force of P is applied to the center of the rigid end plate shown below. If the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (a) determine the value of h, (b) the total load if the stress in the brass is 50 MPa. Brass core (E = 105 GPa) Aluminum plates (E = 70 GPa) Rigid end plate 300 mm 60 mim 40 mm
25 mm PROBLEM 2.49 Brass core E- 105 GPa a- 20.9 x 10c The aluminum shell is fully bonded to the brass core and the assembly is unstressed at a temperature of 15°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 195°C. Aluminum shell E - 70 GPa a- 23.6 x 10rc 60 mm
Stress on an ique Plane under al Loading 12 Stress under eneral Loading onditions; Components f Stress 1.13 Design Considerations Review and Summary for Chapter 1 PROBLEMS REVIEW PROBLEMS COMPUTER PROBLEMS 2 Stress and Strain-Axial Loading 44°F Mostly cloudy AN DEVELOPMENT 2.12 A nylon thread is to be subjected to a 10-N tension. Knowing that E = 3.2 GPa, that the maximum allowable normal stress is 40 MPa, and that the length of the thread must not increase by more than 1%, determine the required diameter of the thread. 76 = 3 8 Search PAPER PERFORMANCE IN ALL 3.5

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