Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 220 mm, a wall thickness of 15 mm, and a length of 4.0 m. The pipe supports a compressive load of 650 kN. After the temperature of the pipe drops 41°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) ō = i mm AD = i mmarrow_forwardA 2 m long alloy bar of 1500 mm? cross-section area hangs vertically and has a collar securely fixed at its lower end. Find the stress induced in the bar, when a weight of 1 kN falls from a height of 100 mm on the collar. [E = 120 GPa]arrow_forwardA circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of 215 mm, a wall thickness of 12 mm, and a length of 5.4 m. The pipe supports a compressive load of 600 kN. After the temperature of the pipe drops 40°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer:arrow_forward
- For a given steel cube section subjected to three dimensional state of principal stress. 75N/mm² ŠI 150 N/mm 30 N/mm² Consider yield stress = 250 N/mm², and µ = 0.3 The value of factor of safety according to maximum strain energy theory. -Xarrow_forwardThe bronze bar 3 m long with a cross-sectional area of 350 mm2 is placed between two rigid walls. At a temperature of -20°C, there is a gap A = 2.2 mm, as shown in the figure. Find the temperature at which the compressive stress in the bar will be 30 MPa. Use a = 18.0x 10-6 / °C and E = 80 GPa. 3 m-arrow_forward(c) A piece of material is subjected to tensile stress of 70 N/mm² in one direction and a compressive stress of 50 N/mm² in a direction at right angles to the previous one. Find fully the stresses on a plane the normal of which makes an angle of 40 degree with the 70 N/mm² stress.arrow_forward
- As shown, an aluminium alloy construction BCD with a circular cross section is fixed at end B and affected by a force of 150 N at the free end D. The diameter of the cross-section a-a is 20 mm. The yield strength of the material is 80 MPa: a) Determine the stresses at point A of the a-a cross-section. As indicated in the picture, draw the stress element in Cartesian coordinates and specify the stress values.(b) Calculate the factor of safety, n for Tresca, and the von Mises yield criterion to see if the structure would yield based on the stresses at point A.(c) In the major stress area, draw the yield loci of both criteria and indicate the operational stress state & why is the Rankine failure criterion inappropriate for aluminium alloys?arrow_forward3. An ASTM A36 structural steel beam 5.00 m long is placed between two rigid supports. When the temperature is 20°C, there is no stress in the bar. Compute the stress developed in the beam if the temperature rises to 45°C. Assume that the proportional limit is 235 MPa. a = 11.7 x 10-6 1/C° E = 207 GPaarrow_forwardPlease solve this question in hand wirting step by step.arrow_forward
- A 25-mm-diameter aluminum rod, 4 m long, is subjected to an axial tensile load of 50 kN Assume a proportional limit of 200 MPa and E = 70 GPa. Compute: a) Stress b) Strain c) Total elongationarrow_forwardAn aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.arrow_forwardNormal stress is calculated dividing the reaction by the cross-sectional area. Is this approach valid for any point of a structural member? Why or why not? To answer this question, consider the loading point, cross- sectional shape, etc.arrow_forward
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