6. Airplane components often have a “stressed skin" construction, which consists of a thin sheet ofaluminum in tension connected to the structure with rivets (i.e. pins that go through circular holes).a. If the aluminum skin is subject to a far-field biaxial tension of σ = 100 MPa and has a yieldstrength of σ = 210 MPa, will the rivet cause the sheet to yield?b. What is the strain through the thickness (z-direction) at the top-most edge of the hole? What doesthis mean is happening to the plate at that point?c. If a crack of length a = 1 mm forms at the side of the hole, will the plate fracture? How about ifthe crack is a = 3 mm? Take the aluminum to have a fracture toughness of K₁c = 15 MPa√m,and take the geometric stress concentration factor to be Y = 1.12.50=a

Answered: Image /qna-images/answer/b238108e-b762-4076-9793-72c34760a362.jpg

Answered: 6. Airplane components often have a…

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

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Question 3: a. A mass of (Z + 50) kg is hung on a steel wire of diameter (Z + 5) mm and the extension found is (Z + 10) mm. If the Young's Modulus of the wire is 200 GPa, Calculate, i. the cross-sectional area of the fishing rope ii. the tensile strain b. A copper sheet of (Z + 75) cm width, (Z + 100) cm height, and (Z + 0.5) cm thick is acted by a shearing force of 50 × 10³ N, as shown in figure below. If the shearing Modulus of Copper is 4.2 x 101°N/m², find the followings: i. Shear Stress ii. Linear Displacement (Ax) Z=62 F Ax thick Width height
A solid brass (G=5600 ksi) with a diameter of 2 inches is surrounded by a wall thickness of 1/2 inch (G=11600 ksi) tube, and an aluminum alloy (G=4000) with an inner diameter of 3 inch wall thickness of 1/4 inch is surrounded by a tube. This fine metal is firmly bonded. (Only 1 ft = 12 inch) ksi=kilo lb/inch2, kip=kilo lb)(a) If a torque of 10 ft kip (kilob) is applied to an axis made of this composite metal, calculate the maximum shear stress brbrass ststeel and AlAl applied to the brass, steel and aluminum axes with ksi, respectively.(b) Find the rotation angle if the axis of this composite metal is 8 ft kip torque and the length of the axis is 10 ft.
6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire AD is made of copper. Assume that the three wires have constant cross-sectional area A = 0.0123 in?. For steel wire, a = 8 x 10 in/ (in°F ) and E = 29000 ksi and for copper wire, a = 9.6 x 10 in/ (in°F ) and E = 17000 ksi. Calculate the axial force exerted by the three wires if the temperature is raised by 80°F. Answer: Pu= 10 Ib, Pu= 136 Ib 40 in. 60 in. 45°. -45° 60 in. V150 Ib
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The rod has a diameter of 40 mm. (Figure 1) It is subjected to the force system F. F, = 920 N. 1350 N, F,= 540 N, Figure 1 of 1 100 mm 300mm B 100 N m
An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than 0.22 in. when the tension in the rod is 2100 lb. If the diameter of the rod is 0.372 in., determine the maximum length of the rod.
Problem 1: Three vertical posts AD, BE, and CF are held between two horizontal rigid plates. Posts AD and CF are made of steel (Es = 200 GPa) and have cross sectional areas of 1000 mm² each. Post BE is made of aluminum (Ea = 73.1 GPa) and has a cross sectional area of 1500 mm². Initially, there is a small gap of 0.1 mm between BE and the top horizontal plate. Then a vertical force of P = 410 kN is applied, which is more than sufficient to close the gap completely. D -0.5 m B E -0.5 m- 0.4 m F Determine the normal stresses in posts AD, BE, and CF (both magnitude and sign).
( 48ll O O 2 9:YV The rod BD is made of material with G1= 135 GPa has a diameter 16 mm is bonded to the tube CA at point B, the tube made of material with G2=230 GPa has an outer diameter 37 mm and wall thickness of 7 mm. If T1=803 N.m and T2=1445 N.m, answer the following questions: A B T2 N-m 0.4 m 0.1 m 0.3 m T1 N-m The polar moment of inertia of the rod BD is Your answer The polar moment of inertia of the tube CA is
The rigid beam shown in Figure AN- 12 is suspended by three cables. The beam is horizontal prior to being connected to the cables and is to remain horizontal after being attached to the cables. The beam weighs 176.4 kN. 0.6 m Steel A 600 mm E 200 GPa Bronze A 900 mm E- 83 GPa Steel A= 600 mm E 200 GPa 1.0 m Figure AN-12 Which of the following most nearly gives the ratio of the force in the bronze cable to the force in the steel cables?
A belt drive consists of two V-belts in parallel, on grooved pulleys of the same size. The angle of the groove is 30°. The cross-sectional area of each belt is 750 mm² and µ= 0.12. The density of the belt material is 1.2 Mg/m³ and the maximum safe stress in the material is 7 MPa. (a) Calculate the power that can be transmitted between pulleys of 300 mm diameter rotating at 1500 r.p.m. (b) Find also the shaft speed in r.p.m. at which the power transmitted would be a maximum. (Answers: 172 kW; 2800 r.p.m.)
3. A cylindrical rod of steel (E = 207 GPa) having a yield strength of 310 MPa is to be subjected to a load of 11,100 N. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0.38 mm?
The axial assembly consists of a solid 1-in.-diameter aluminum alloy [E = 11000 ksi, v = 0.26, α= 10.5 × 10−6/°F] rod (1) and a solid 1.49-in.-diameter bronze [E = 15300 ksi, v = 0.15, α= 7.6 × 10–6/°F] rod (2). Assume L1=11 in., L2=22 in. If the supports at A and C are rigid and the assembly is stress free at 16°F, determine:(a) the normal stresses σ1, σ2 in both rods at 213°F (positive if tensile, negative if compressive).(b) the displacement uB of flange B (positive if to the right, negative to the left).(c) the change in diameter Δd1 of the aluminum rod.

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