The bar shown in diagram is subjected to a tensile load of 150 kN. If the stress in the middle portion is limited to 160 N/mm2, determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 cm. Young's modulus is given as equal to 2.0 x 105 N/mm2. 150 KN ➜ 10 cm DIA 45 cm 10 cm DIA 150 KN

The bar shown in diagram is subjected to a tensile load of 150 kN. If the stress in the middle portion is limited to 160 N/mm2, determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 cm. Young's modulus is given as equal to 2.0 x 105 N/mm2. 150 KN ➜ 10 cm DIA 45 cm 10 cm DIA 150 KN

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

Question 3 Determine the elongation of the square hollow bar when it is subjected to the axial force P = 100 kN, find the permanent elongation of the bar. The bar is made of a metal alloy having a stress-strain diagram which can be approximated as shown. o (MPa) 500 600 mm P 50 mm 250 5 mm e (mm/mm) 0.00125 0.05 50 mm ´5 mm a. Find the stress (MPa) of the bar. b. Find the permanent elongation (mm) of the bar.
Calculate the combined stress (MPa) on the rod shown below using the principle stress method. Here, F1 = 0.35 kN, F2 = 0.12 kN, T = 428000 N-mm. Length and diameter of the rod are 75 cm and 75 mm, respectively. F2 F1 d
2. The tires of an agricultural tractor shown below are assumed to be 25 cm wide for the front tires and 40 cm at the rear tires. Ground contact of each tire is 15 cm. Calculate the compressive stress between each tire and the ground surface. Weight = 2,500 kg 15 cm 1.3m Point A 2.2 m 2R 2F
A weight of 300 N is suspended below a horizontal beam by means of two wires at angles of 30 ° and 45 ° to the horizontal as shown below. The Young's modulus of the both wires is E=200,000 MN/m². The cross sectional area of the left wire is 40mm2 while for the right wire it is 50mm². Select the correct answer for the direct stress in the left wire. Give your answer in N/mm2 to three decimal places. Assume tension to be positive and compression negative. 30° 45° (Not to scale) 2m 300 N O 6.725 O 5.490 O 4.392 O 5.380
If the cross sectional area of bar BD is 0.5 in2, what is the stress in bar BD? 300 lb/ft 2 ft 2 f1 30° 6 ft- D.
Find the ox value for the plate as shown below, where b1=d2%=D16 mm, d1=70 mm,b2%=90mm. (ENTER ONLY THE VALUES IN THE BOXES BY REFERING THE UNITS GIVEN IN THE BRACKET) b1 b2 d2 d1
A metal block of cross-section area A and length L is subject to a tensile stress of S. The block elongates by a length of 0.002L. Another block made from the same metal is subject to the same tensile stress. If this block has a cross-section area of 2A and a length of 2L, determine the elongation of the block.
Compound axial member ABC has a uniform diameter of d-2.4 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 - 78 in. and L₂ - 150 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.35 in. L₁ A Part 1 Aluminum Answer: A- B Save for Later Calculate the cross-sectional area of the compound member. L2 (2) Copper in.² C P Attempts: 0 of 1 used Submit Answer Part 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Part 3 The parts of this question must be completed in order. This part will be available when you complete the part above.
The beam is supported by rods AB and CD that have different cross-sectional areas. The area of rod AB is AAB = 10 mm² .The area of rod CD is Acp = 8.25 mm². B F₁ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F₁ d₁ d₂ NAB= 5050 N 3.25 mm 0.5 mm a. Determine the magnitude of the normal internal force in rod CD, NCD. b. Determine the magnitude of the normal internal force in rod AB, NAB. c. Determine the normal stress in rod CD, OCD. d. Determine the normal stress in rod AB, O AB. Round your final answers to 3 significant digits/figures. NCD = N N
The P load applied to a steel bar is transferred to the board by an annular washer. The diameter of the rod is 34mm and the inner diameter of the washer is 35.7 mm. Since it is known that the axial normal stress on the steel bar is 119 MPa, and the average bearing stress between the washer and the board should not exceed 34 MPA, how many mm is the smallest allowable outer diameter of the washer?
A short post constructed from a hollow circular tube of aluminum supports a compressive load of 26 kips (Fig. 1-5). The inner and outer diameters of the tube are d, = 4.0 in. and d, = 4.5 in., respectively, and its length is 16 in. The shortening of the post due to the load is measured as 0.012 in. Determine the compressive stress and strain in the post. (Disregard the weight of the post itself, and assume that the post does not buckle under the load.) | 26 k 16 in.
A round steel bar with a diameter of 1.500 in is subjected to the axial loads shown. P1 = 95 k, P2 = 115 k, P3= 55 k, P4 = (P1-P2+P3) k. If Section 2 has a length, L2 = 65 inches, find the change in length of Section 2. Report the answer below in inches, absolute value, 3 significant digits. P1 Your Answer: 100 inches Round Steel Bar P2 Section 2 12 P3 80 inches P4