Problem 1 of 2: Nodal displacements for the elements 1-3 and 2-3 of a planetruss were determined to beu = 1.5 mm, uz = 0.2 mm, uz = -2.7 mm,v = 3.1 mm, v2 = 3.3 mm, v, =-0.8 mmL.%3DWhat are their axial stresses, if E = 2.0-101 Pa and L = 2 m for both elements?Solution:

Given dataDisplacements of points in x and y directionsu1 = 1.5mmu2 = 0.2mmu3 = -2.7mmv1 = 3.1mmv2…

Problem 1 of 2: Nodal displacements for the elements 1-3 and 2-3 of a plane truss were determined to be u = 1.5 mm, uz = 0.2 mm, u3 = -2.7 mm, vz = 3.1 mm, vz = 3.3 mm, vz = -0.8 mm 30 %3D What are their axial stresses, if E = 2.0-1011 Pa and L= 2 m for both elements?

Problem 1 of 2: Nodal displacements for the elements 1-3 and 2-3 of a plane truss were determined to be u = 1.5 mm, uz = 0.2 mm, u3 = -2.7 mm, vz = 3.1 mm, vz = 3.3 mm, vz = -0.8 mm 30 %3D What are their axial stresses, if E = 2.0-1011 Pa and L= 2 m for both elements?

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

The figure shows the combined design of an angular contact ball bearing on two fulcrums. The radial loads R1 and R2 and axial load Fa of bearings 1 and 2 are shown in the figure. The relationship between the derived axial force S and radial load R is: S = 0.25R. Calculate the actual axial force of bearing 1 and bearing 2? Fa= 360N R1=4000N R2=4250N Problem 5) Figure
L = 0.3m A = 20 x 6 mm E= 70 GPa allowable stress = 120 MPa 0.6 m 0.4 m 0.2 m Rigid bar D C W 0.5m 40 x 6 mm 50 GPa wable stress = 80 MPa 16 mm dia. bolt with allowable s 6 mm 80 MPa in bearing and 60 MPa The rigid bar A,B,C,D shown in figure is connected to the ground by a hinge at B and to Magnesium bar at A, Aluminum bar at C. the properties of the bars are shown on the figure. all the connections are using 16 mm bolts in single shear. Determine the maximum safe load W that can be applied. Determine the final position of point D.
Question: Consider that the fit between the elements shown in the Figure below is H6/s5. They are both made of SAE 1340 OQT 1000 steel (Sy= 950 MPa, E = 200 GPa). Take D; = 75 mm and D, %3D %3D 90 mm. Determine the maximum possible value of the tangential stress at the inner surface of the outer element in MPa. NOTE: Answer is not 4750MPA. If you Submit This answer I will Directly report. |D, H6/s5 D. 6/7
Calculate the maximum load (P) that can be supported by the knuckle joint that shown in the figure below. The joint material has the following allowable stresses: tensile stress = compressive stress -50 Mpa, shear stress =35 Mpa and crushing stress = 90 Mpa. (Assuming: the load is applied statically). P- C1 78 mm C1 78 mm C2 C3 C3 156 mm 98 mm C4 C1 C5 C1 60 mm C4 C5 P. C5 C2
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
3. The bar shown below is composed of two pieces, AC and CD. The bar is attached to the wall at point A. The length L = 10 in. The cross sectional areas are: AAC = 4 in? and AcD = 2 in?. The Young's Moduli are: EAC =20 Msi and Ecd= 15 Msi Two forces are applied at points B and D: PB = 50 kips and PD = 20 kips. Determine: (a) the reaction force at A (specify –→ or +) and (b) the deflection of point D (specify → or +). (Hint for (b): Think about how many pieces you must subdivide the rod into.) Ans: RA = 30 kips (+), dp = 7.9167×10-3 in (E) A В C D Pp L 2L L
The flat bar shown in the figure is subjected to tensile forces P = 3000 lb. The bar has thickness t = 0.25 in. a) If the designer wants to make a stepped bar with shoulder fillets as shown in the figure, determine R the maximum stresses for fillet radii R = 0.25 in. P and R = 0.5 in. if the bar widths are b = 4.0 in. and c = 2.5 in. b) Comment on the relation between the stress and the fillet radius each time it is increased. c) What is the factor of safety for each fillet radius if the part is made of cast iron Sut = 30 ksi? Solution: 3.0 2.8 D/d = 2 1.15 D. 2.6 1.5 2.4 2.2 - 1.05 O nom %3D %3D td к, 2.0 3.0 1.8 E 1.6 E 1.01 1.4 E 1.2 1.0 0.05 0.10 0.15 0.20 0.25 0.30 r/d
PROBLEM 2 The composite bar is rigidly attached to unyielding supports. The bar is stress-free at 65°F. At what temperature will the aluminium and steel segments in the given figure have stresses of equal magnitude after the 12.5 kip force is applied? The coefficient of linear expansion of aluminium is a = 12.8 x 10-/°F and steel is a = 6.5 x 10-/ºF Aluminum Steel A = 2 in.2 E = 10 × 106 psi A = 3 in.2 E = 29 × 106 psi 12.5 15 in.- -10 in.-
4) The C-clamp shown below has rectangular cross-section A-A that is 33 mm tall by 12 mm wide and the material is class 50 gray cast iron. Determine maximum tensile stress and factor of safety for clamping force F = 3.2 kN. Ignore stress concentration factors. See Section 4.9 in Norton for help with curved beams. MPa N O MAX |F F 60 mm 40 mm 12 mm 33 mm 33 mm Section A-A A
1.9-8 The rear hatch of a van (BDCG in figure part a) is supported by two hinges at B and B, and by two struts 4, B and 4 B diameter d as shown in figure part b The struts are supported at 4 and A, by pins, each with diameter d and passing through an evelet of thickness7=8 mm at the end of the strut (figure part b) A closing force P 50 N is applied at G, and the mass of the hatch M=43 kg iss concentrated at C. 10 mm), 9 mm (a) What is the force Fin tach strut? (Use the free body diagram of one half of the hatch in the figure part e )
PROBLEM 2. The carrier system in the figure consists of the AB rigid beam and two aluminum bars and a steel bar connected to it. After the assembly is created at 20 °C without causing any prestresses, calculate the stresses on the bars if the temperature is increased to 80 C. Steel A-36 A =160 mm? 3,5m 10 kN/m 3 m 3m 2 m 2014-T6 Aluminum A =200 mm E A,