No. 3.The assembly shown in Figure No. 3consists of a hollow steel [E = 200 GPa]tube (1) with an outside diameter of 60mm and a wall thickness of 5 mm, a solid40 mm diameter aluminum [E = 70 GPa](2)(3)rod (2), and a solid 30 mm diameterCaluminum rod (3). The member lengthsare L1 = 2 000 mm, L2 = 1 200 mm, and L3= 800 mm. The following loads act on theassembly: P = 150 kN, Q = 80 kN, and R =Figure No. 3115 kN. Determine (a) the change inlength of steel tube (1). (b) the deflection ofjoint D with respect to the fixed support at A.

Given data: E1=200 GPaE2=70 GPaE3=70 GPa

No. 3. The assembly shown in Figure No. 3 consists of a hollow steel [E = 200 GPa] tube (1) with an outside diameter of 60 mm and a wall thickness of 5 mm, a solid 40 mm diameter aluminum [E = 70 GPa] (2) (3) rod (2), and a solid 30 mm diameter D aluminum rod (3). The member lengths are L1 = 2 000 mm, L2 = 1 200 mm, and L3

No. 3. The assembly shown in Figure No. 3 consists of a hollow steel [E = 200 GPa] tube (1) with an outside diameter of 60 mm and a wall thickness of 5 mm, a solid 40 mm diameter aluminum [E = 70 GPa] (2) (3) rod (2), and a solid 30 mm diameter D aluminum rod (3). The member lengths are L1 = 2 000 mm, L2 = 1 200 mm, and L3

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 2.5 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.7 in. and a thickness of 0.75 in. The supports at A and C are rigid. Assume h1=2.5 in., h2=1.7 in., L1=31 in., L2=46 in., and Δ=Δ= 0.04 in. (A) Determine the lowest temperature, Tcontact, at which the two bars contact each other. (B) Find a geometry-of-deformation relationship for the case in which the gap is closed. Express this relationship by entering the sum δ1+δ2, where δ1 is the axial deflection of Bar (1), and δ2 is the axial deflection of Bar (2). δ1+δ2= _____in. (C) Find the force in the Bar (1), F1, and the force in Bar (2), F2, at a temperature of 225oF. By convention, a tension force is positive and a compression force is negative. IN KIPS (D) Find σ1 and σ2,…
The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7x 10-6/°C], with a cross-sectional area of A1 = 370 mm2. Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross- sectional area of A2 = 380 mm?. The bars are unstressed when the structure is assembled. Assume a=360O mm, b=620 mm, c=730 mm, P=20 kN, and L=890 mm. After a concentrated load of P = 20 kN is applied and the temperature is increased by 35°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. A (1) B (2)
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 = 102 GPa] with a cross-sectional area of A₁ = 200 mm². Bar (2) is an aluminum alloy [E = 72 GPa] with a cross-sectional area of A₂ = 640 mm². All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L₁ = 1880 mm, a = 1060 mm, b = 620 mm, c = 480 mm, and L₂ = 1270 mm. If a load of P = 71 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. (1) L₁ b tc B (2) D L2
If a steel column with cross-sectional area A = 1000 mm2, modulus of elasticity E 200 MPa and length of 10 m is subjected to 2 kN axial tension, compute for its axial deformation O + 100 mm O +0.1 mm O 100 mm O-1.0 m
5. A bronze bar is fastened between a steel bar and an aluminum bar as shown in Figure 5. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa. Steel A = 480 mm² 1.0 m Bronze A = 650 mm² 3P 4P 2.0 m FIGURE 5 Aluminum A = 320 mm² 1.5 m 2P
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 assembly shown in Figure No. 3 consists of a hollow steel [E = 200 GPa] tube (1) with an outside diameter of 60 mm and a wall thickness of 5 mm, a solid 40 mm diameter aluminum [E= 70 GPa rod (2), and a solid 30 mm diameter aluminum rod (3). The member lengths are L1 2 000 mm, L2 = 1 200 mm, and L3 %D 3D800 mm. The following loads act on the assembly: P = 150 kN, Q = 80 kN, and R = 115 kN. Determine (a) the change in length of steel tube (1). (b) the deflection of joint D with respect to the fixed support at A.
Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?
A fillet-welded joint is shown in the figure. The size of the weld is 8 mm. Safe stress in the weld is 110 N/mm². What is the safe force (to the nearest magnitude) to which the weld can be subjected? 80 mm 60 mm
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.
An aluminum alloy bar (E = 72 GPa) has length L = 2m, constant thickness t = 20mm, and a rectangular cross section whose width varies linearly between b2 = 115 mm at the fixed support to b1 = 100mm at the free end. Assume that the taper of the bar is small. If P2 = 200kN, hwta is P1 so that the displacement tc=0. What is the displacement tb?
Q: For the Figure shown below, find the length of bronze. Use the following data: 1. E (steel) = 210 GPa and E bronze =110 GPa. 2. A (steel) = 2.5 mm² and A (bronze) = 4 mm². 3. Pst) = 2P(br.) Bronze Lbr Steel Steel L: 0.6 m 0.6 m L W (kN) (steel) (m) Name 120 1 علي باقر عبد الزهرة جاسم