Problem 13.3 Consider two bars, 1 and 2, made of two different materials. Assume that these bars were tested in a uniaxial tension test. Let F, and F2 be the magnitudes of tensile forces applied on bars 1 and 2, respectively. E, and E2 are the elastic moduli and Aj and A2 are the cross-sectional areas perpendicu- lar to the applied forces for bar 1 and 2, respectively. For the conditions indicated below, determine the correct symbol relat- ing tensile stresses o and o2 and tensile strains e and €2. Note that ">" indicates greater than, "<" indicates less than, "=" indicates equal to, and "?" indicates that the information provided is not sufficient to make a judgement. (a) If A1 > A2 and F1 = F2 then o1 >= ? < o2 and e1 >=? < €2. (b) If E1 > E2, A1 = A2 and F1 = F2 then o1 >= ? < 02 and 1 >= ? < 62 %3D

Problem 13.3 Consider two bars, 1 and 2, made of two different materials. Assume that these bars were tested in a uniaxial tension test. Let F, and F2 be the magnitudes of tensile forces applied on bars 1 and 2, respectively. E, and E2 are the elastic moduli and Aj and A2 are the cross-sectional areas perpendicu- lar to the applied forces for bar 1 and 2, respectively. For the conditions indicated below, determine the correct symbol relat- ing tensile stresses o and o2 and tensile strains e and €2. Note that ">" indicates greater than, "<" indicates less than, "=" indicates equal to, and "?" indicates that the information provided is not sufficient to make a judgement. (a) If A1 > A2 and F1 = F2 then o1 >= ? < o2 and e1 >=? < €2. (b) If E1 > E2, A1 = A2 and F1 = F2 then o1 >= ? < 02 and 1 >= ? < 62 %3D

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

Q2. Determine the young's modulus of elasticity from the following test result on a steel rod: Rod diameter = 25 mm Rod length Maximum applied load = 300kN = 150mm Rod extension after test = 10mm
A straight bar of uniform cross sectionis tested in tension. The bar's cross sectional is 6.5 square centimeters and a length of 4 m. When the tensile load reaches 85kN, the total elongation is 2.5mm. What is the stress and the modulus of elasticity of the bar?
Write the relations used to find the forces in compound bars made of two materials subjected to tension.
Q2. Rigid member DEF is supported by three rods, AD, BE, and CF, and the rods are of the same original dimension. Rods AD and CF are of the same material, with Young's modulus of 10.6x103 ksi, and rod BE is made of a different material, with Young's modulus of 17.0×103 ksi. Points B, E, and G are collinear, and the lengths are /₁ = 3.6 ft and /2 = 3.9 ft. Determine the force in rod CF in the unit of lb. A D 4₁ G B 1 kip -1₂- 2 C F 4
a 12mm thick steel tire has a width of 110mm and an internal diameter of 800mm. It is heated and shrunk onto a steel wheel 800.50mm in diameter. The modulus of elasticity of steel is 200gpa. Which of the following most nearly gives the comprehensive pressure between the tire and the wheel? A 3.30 mpa B 3.90 mpa C 3.75 mpa D 4.35 mpa
A bar is 500 mm long and is stretched to 505 mm with a force of 50 kN. The bar is 10 mm diameter. Determine stress, strain and elastic modulus.
A specimen of titanium alloy is tested in torsion and the shear stress–strain diagram is shown in Fig.a. Determine the shear modulus G, the proportional limit, and the ultimate shear stress. Also, determine the maximum distance d that the top of a block of this material, shown in Fig. b, could be displaced horizontally if the material behaves elastically when acted upon by a shear force V. What is the magnitude of V necessary to cause this displacement?
Q;Determine the stiffness and elasticity matrices of the system below:
The is a rope that just cannot stretch more than 0.6 cm from a tensile force of 500N without breaking. What is the minimum radius that the rope must have if it is .5kg and .6 meters long? The Young’s modulus for this material is 35*10^9 Pa.
A homogeneous 200 kg bar with a length of 6 meters carries a 3 kN force at one end. This bar is supported at the other end by a pin on the wall and the center with 10 mm diameter cable attached to the same wall 4 meters above the pin. What is the tensile load on the cable.
A tensile force of 100 kN is applied on a 0.02-m diameter and 2-m long rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to2.01 m. The true axialstrain is?
Compound axial member ABC has a uniform diameter of d = 1.0 in. Segment (1) is an aluminum [E1 = 10,000 ksi] alloy and segment (2) is a copper [E2 = 17,000 ksi] alloy. The lengths of segments (1) and (2) are L1 = 66 in. and L2 = 110 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.45 in. L1 L2 (1) A d Aluminum (2) В Соpper Answer: kips P = i