An idealized model of a thin-walled convertible car body cross-section is shown in figure Q16. The effect of doors and windows has been ignored. The car has vertical side walls of thickness t1 and length 1 m and a horizontal base of thickness t2 and length 1.9 m. It is constructed from aluminium with a shear modulus of 24 GPa. t₁ = 15 mm t2 = 15 mm a. For this open section determine the torsional stiffness? Give your answer to 3 significant figures in Pa m4 and non-scientific notation e.g. 10000 rather than 10e05. Do not include units in your answer Note that for an open section, the total area moment JT is the sum over all plates i as given by equation (1) below. Ir = [₁ b₁t²³ Torsional stiffness = GJT 1.9 m 1m Figure Q16 - idealised model of a thin-walled convertible car body

An idealized model of a thin-walled convertible car body cross-section is shown in figure Q16. The effect of doors and windows has been ignored. The car has vertical side walls of thickness t1 and length 1 m and a horizontal base of thickness t2 and length 1.9 m. It is constructed from aluminium with a shear modulus of 24 GPa. t₁ = 15 mm t2 = 15 mm a. For this open section determine the torsional stiffness? Give your answer to 3 significant figures in Pa m4 and non-scientific notation e.g. 10000 rather than 10e05. Do not include units in your answer Note that for an open section, the total area moment JT is the sum over all plates i as given by equation (1) below. Ir = [₁ b₁t²³ Torsional stiffness = GJT 1.9 m 1m Figure Q16 - idealised model of a thin-walled convertible car body

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

Chapter 4, Problem 4/069 The pyramidal truss section BCDEF is symmetric about the vertical x-z plane as shown. Cables AE, AF, and AB support a 3.0-kN load. Determine the force in member BE. The force is positive if in tension, negative if in compression. 350 mm 350 mm 400 mm 400 mm 420 mm Answer: BE= D 2 the tolerance is +/-2% 380 mm C 380 mm 3.0 kN KN
The horizontal steel rod, 2.5 m long and 1200 mm² in cross-sectional area, is secured between two walls as shown in the figure. If the rod is stress-free at 20°C, compute the stress when the temperature has dropped to -20°C. Assume that (1) the walls do not move and (2) the walls move together a distance 0.5mm. Use α= 11.7x10-6/°C and E=200GPa.
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
Bar C is an aluminum alloy (E=73GPa) rod that has a cross-sectional area of 625 mm2. Member D is a wood (E=12GPa) post that has cross-sectional area of 2500mm2. A gap of 0.09 mm exists between B and D in the unloaded state as shown in the Figure. Let P = 26 kN, Determine: The forces in members D and C The normal stress and strain in member D
A stepped bar is fixed at end C. The bar has a cross sectional area of 1000 mm² in AB, and a 2000 mm² cross sectional area in BC. Young's Modulus of the bar's material is 200 GPa. A horizontal force of 100 kN is applied to cross section B. There is a gap b = 0.2mm between right end A and the rigid wall. If the bar is stretched to contact the rigid wall and is welded to it, determine the minimum horizontal force F that needs to be applied to end A. 300 mm 400 mm F A 0.2 mm B 100 KN
A stepped circular bar having diameters 20 mm, 15: mm and 10 mm over axial lengths of 100 mm, 80mm and 60mm is subjected to an axial tensile force of 5 KN. If E= 100 x 103 N/mm2 and 1/m = 0.32 for the material of bar, determine total change in length and change in each diameter.
A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented from buckling sideways, calculate the magnitude force "P" that will cause the total length of the member to decrease 0.29 mm the values of elastic modulus for steel is 217 MPa. Take H1 = 4 cm, H2 = 11 cm, top bar (R) is 3 x 3 cm and bottom bar (Q) is 7 x 7 cm. Also, determine the stress-induced in each section of the bar. i) Magnitude Force, P = ii) Stress-induced in the top bar = iii) Stress-induced in the bottom bar =
Compound axial member ABC has a uniform diameter of d = 2.9 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 = 90 in. and L₂ = 130 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.30 in. L₁ P L2 Aluminum B Copper CP A Answer: P= i kips
The bronze bar 2.7 m long with a cross-sectional area of 415 mm2 is placed between two rigid walls. At a temperature of 8.1 °C, there is a gap Δ = 2.32 mm, as shown in the figure. Find the compressive force (in N) experienced by the bar at a temperature of 68.66 °C. Use α = 18 × 10-6 /°C and E = 80.71 GPa. Round off your answer to three decimal places.
A heavy spool rests on the ground at point A and against the wall at point B. Find force F required to pull the cable off the spool in the direction shown, given:Mspool = 100 kg, rI = 200 mm, rO = 460 mm, μ = 0.2 for all surfaces.
A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented from buckling sideways, calculate the magnitude force "P" that will cause the total length of the member to decrease 0.66 mm the values of elastic modulus for steel is 207 MPa. Take H1 = 4 cm, H2 = 11 cm, top bar (R) is 3 x 3 cm and bottom bar (Q) is 7 x 7 cm. Also, determine the stress-induced in each section of the bar. i) Magnitude Force, P = (in N) ii) Stress-induced in the top bar = (in N/mm^2) iii) Stress-induced in the bottom bar = (in N/mm^2)
A steel panel is subjected to a compressive loading in order to improve the panel stiffness and to increase its buckling strength. It is swaged with the swage depth of 13 mm and swage angle of 60.07°. Its profile is as shown in Fig.Q2. Typical dimensions are shown in the figure and the thickness of the panel is 0.8 mm. The effective length of the panel is 750 mm. The relevant properties are: Modulus of elasticity Yield stress 200 GN/m? 240 MN/m? . Assuming that the buckling stress coefficient for a panel simply supported on both sides is 3.62 and that the post buckling relationship for the panel is Oy = 0.40, +0.60, where oav = average panel stress, o, = edge stress in panel and o = panel buckling stress, determine (a) the load/swage pitch at which initial buckling of the panel will ccur, (b) the instability load per swage pitch. (13 Discuss the effects upon the compressive strength of the panel of: (c) i) Varying the swage width; ii) Varying the swage depth 150 13 150 All dimensions…