TRY THIS ONE ON YOUR OWN!!Seatwork 1-MFigure:The composite member is shown in the figure. If the rigidbar remains horizontal after the loading is applied anda temperature change of +10°C. Determine the totalstresses on each of the vertical members consideringactual stress due to the loading carried and due totemperature change. Given on the table below are theproperties of each material used as members.(steel)500 mm150 kN150 mm 150 mmSteelRigidBrass(rigid bar)250 mmArea (mm²)7001500(brass)E (GPa)200100a (µm/mºC)11.717.6

Solution: Given data: Area of steel= 700 mm2Esteel=200 GPaαsteel=11.7 μm/m°CArea of brass= 1500…

Answered: The composite member is shown in the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2420 N-m acting about the z axis. Assume b=64 mm, d1=36 mm, d2=13 mm. Determine: (a) the maximum bending stresses opy,Gal in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together. Brass (2) d2 Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPа. (b) Obrj MPa.
A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 93 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 9 MPa. Determine the %3D largest moment M that can be applied as shown to the beam. b2 M d2 d1 | A B L b1 Answer: M = i N•m
The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.
The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. It is subjected to a moment of M = 6.3 kN?m .Ebr = 100 GPa, Est = 200 GPa A: Determine the maximum bending stress in the brass. B:Determine the maximum bending stress in the steel. C: Determine the stress in the brass at the seam where the brass and steel are bonded together. D:Determine the stress in the steel at the seam where the brass and steel are bonded together. B M 175 mm 150 mm 200 mm
A sheet of aluminum is stretched in the xy-plane. If the strains in the sheet are ϵx = 0.3 x10-3 and ϵy = 0.25 x10-3, compute σx and σy. Use E = 110 GPa and v = 0.35.
At a point on the surface of a plane stressed region, measured strains reduced to the following: E=+900µ, ɛ,=-100µ, and yy=+400µ. The material on which strains were measured has the following properties: E=210 GPa and v=0.3. Determine the stresses, Ox, Oy, and tyy at the point. Note: u means micro radian or lx10-6 rad. Use biaxial stresses formulas and use txy=Gyxy:
X Your answer is incorrect. An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d1 = 82 mm, b2 = 23 mm, dɔ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a d2 y A B b1 Answer: M = 412.360 N•m Attempts: 2 of 3 used
Narrow bars of aluminum are bonded to the two sides of a thick steel plate as shown. Initially, at T₁ = 70°F, all stresses are zero. Knowing that the temperature will be slowly raised to T₂ and then reduced to T₁, determine (a) the highest temperature T₂ that does not result in residual stresses, (b) the temperature T₂ that will result in a residual stress in the aluminum equal to 58 ksi. Assume aa = 12.8 x 10-6/°F for the aluminum and a = 6.5 × 10-6/°F for the steel. Further assume that the aluminum is elastoplastic with E = 10.9 × 106 psi and ay = 58 ksi. (Hint: Neglect the small stresses in the plate.) Fig. P2.121

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