2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The axial compressiveload of 200 kN is applied through the infinitely rigid cover plate shown. If the aluminum cylinder isoriginally 0.25 mm longer than the steel before any load is applied, find the normal stress in eachwhen the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa:a = 12 × 10-*/°C, and for aluminum assume E = 70 GPa, a = 25 x 10° */°C.Ans. σ =9MPa, σ = 15.5 MPa200 kN80 mm--85 mm141 mmFig. 2-40500 mm

Summary:-So the stress is 9MPAExplanation:

Answered: 2.23. An aluminum right-circular…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses OAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aa=23.9*10-6 1/°C, Eal=72GPA //// A 60 mm diameter 1.1 m B 40 mm diameter 1.3 m Aluminum Brass
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2. (3 points) When loading is applied at a point on a body, the stress distributions at different cross sections are different. However, the stress distribution becomes uniform at locations far from the applied load. This is due to which principle? Name the principle. P Load distorts lines located near load P P C C Lines located away from the load and support remain straight P O avg A section a-a section b-b section c-c -Load distorts lines located near support Your answer
A
A thin polymer plate PQR is deformed so that corner Q is displaced downward 0.9 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 150 mm, b = 216 mm, c = 180 mm, and A = 0.9 mm. a b P R C Answer: Shear strain y = Q i A X urad.
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 280 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 590 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1840 mm, a = 880 mm, b = 540 mm, c = 430 mm, and L₂ = 1340 mm. If a load of P = 87 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. h (1) L₁ b a BI Answers: C (2) D L2
The state of stress at a point is shown with respect to xy-plane. The state of stress at a point is shown with respect to x'y'-plane? 8 MPa y'v 60° S MPa +S MPa 10 MPa 8 MPa
Situation 6: The rigid bar of negligible weight is supported as shown in the figure. If W = 120 kN, There is a temperature change occur in the assembly and cause a tensile stress of 55 MPa in the steel rod. Use the following data: Bronze steel 1 m - 2 m O 4 m W 2 m 3 m 16. Compute the axial stress at bronze rod 17. Compute for the change of temperature 18. Compute for the vertical deflection at the W Steel Rod Bronze Rod A (mm²) 320 1500 a (/°C) 11.7 x 10-6 18.9 x 10-6 E (GPa) 200 83
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 95 GPa] with a cross-sectional area of A1 = 260 mm2. Bar (2) is an aluminum alloy [E = 69 GPa] with a cross-sectional area of A2 = 690 mm2. All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L1 = 2000 mm, a = 1080 mm, b = 610 mm, c = 460 mm, and L2 = 1380 mm. If a load of P = 100 kN is applied at B, determine(a) the normal stresses in both bars (1) and (2).(b) the downward deflection of point A on the rigid bar.
Find the stress produced in rod due to tensile load of 2.02 N whose cross section area is 2 mm2
An aluminum bar having a cross-sectional area of 160 mm carries the axial loads as shown in the Figure below. Assume that the bar is suitably braced to prevent buckling and E = 70000 MPa. The length of each bars are follow: B1 = 0.8 m; B2 = 1.0 m; B3 = 0.6 m. Determine the total deformation of the bars B1, B2 and B3 in mm. 35KN B1 B2 B3 10KN 15KN 30KN 2.5 B 1.79 C) 0.54 3.75 E 4.83
Practice 2 A fixed ended steel beam 8m long carries a uniform load 20kN/m and an axial tensile force of 200KN. The properties of steel section is as follows: A = 7800 mm? d = 324 mm Ix = 140x10 mm ly = 16x10 mmt What is the axial stress of the beam, in MPa. What is the actual bending stress in the beam due to uniform load alone acting on the beam, in MPa. -. What is the interaction value if Fb = 210 MPa and Ft = 100 MPa? answer key а.)25.64 Мра b.) 123.43 Мра c.) 0.844

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