The axial assembly consists of a solid 1-in-diameter aluminum alloy[E = 11600 ksi, v= 0.28, a = 12.3x 10-6/°F]rod (1) and asolid 1.64-in-diameter bronze [E = 16200 ksi, v = 0.14, a = 9.8 x10-6/°F] rod (2). Assume L=16 in., L2=26 in. If the supports atA andCare rigid and the assembly is stress free at 9°F, determine:(a) the normal stresses o1,02 in both rods at 133°F (positive iftensile, negative if compressive).(b) the displacement ug of flange B (positive if to the right, negativeto the left).(c) the change in diameter Adı of the aluminum rod.BCL2Answers:(a) o =ksi, o2 =ksi(b) ug = iin.(c) Ad,in.

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Answered: The axial assembly consists of a solid…

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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The column above is subjected to axial loading only. Assume the following: • E= 29000 ksi G = 10000 ksi • = 986 in4 A = 60 in? • L= 20 ft • Grade 60 steel (60 ksi yield stress) • The column is fixed at the top and pinned at the bottom Which of the following is closest to the maximum normal stress the column can support (before yielding or buckling)? 167 ksi 24 ksi 42 ksi 60 ksi
What maximum load P can be applied without exceeding an allowable stress of 70 MPa for aluminum or 120 MPa for steel? Can a larger load P be carried if the length of the aluminum rod is changed. the length of the steel portion being kept the same? If so, determine this length
Two T-shape sections are welded together to create a composite l-beam section as shown below. Determine the safely uniform load w (kN/m) that the beam can carry throughout its entire span. 270mm 30mm 20mm 160mm Welded Joint 130mm 30mm 135mm Beam Length = 4 m Consider the following stresses: fb(T) 3 125 МPа fb(C) = 130 MPa x at the welded joint = 20 MPa Find: 1. The Neutral Axis from the base 2. moment of inertia with respect to the horizontal centroidal axis 3. Q at the welded joint 4. Considering the maximum flexural stress in tension, WNAX is equal to KN/m. 5. Considering the maximum flexural stress in compression, WMAX, is equal to 6. Considering the stress at the welded joint, wMex is equal to kN/m.
The assembly consists of two red brass C83400 copper rods AB and CD of diameter 30 mm, a stainless 304 steel alloy rod EF of diameter 40 mm, and a rigid cap G. The supports at A, C and F are rigid. Modul of elasticy for the copper is Ecopper = 101 GPa. Modul of elasticity for the steel is Esteel = 193 GPa. (Figure 1) Figure ▼ Part A σAB = Submit Part B Value Submit μÀ Request Answer Part C LO OCD = Value Determine the average normal stress developed in the rod AB. Express your answer to hree significant figures and include the appropriate units. μA Request Answer EF = Units Units A μÃ -300 mm- Value C 30 mm Determine the average normal stress developed in the rod CD. Express your answer to three significant figures and include the appropriate units. Submit Request Answer 30 mm ? B D G ? E 450 mm 40 kN 40 kN 40 mm Determine the average normal stress developed in the rod EF. Express your answer to three significant figures and include the appropriate units. Units F ? < 1 of 1
At a temperature of 29.8 °C a 0.4-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 133.3°C, determine the change in length of the steel rod if L = 312.45 mm and M=201 mm. Round off the final answer to four decimal places. d - L M - B Aluminum A = 2000 mm² E = 75 GPa a = 23 x 10-6/°C Stainless steel A = 800 mm² E = 190 GPa α = 17.3 x 10-6/°C
The axial assembly consists of a solid 1.13-in-diameter aluminum alloy [E = 8300 ksi, v = 0.27,a = 11.1 x 10-6/°F] rod (1) and a solid 1.59-in-diameter bronze [E = 15100 ksi, v = 0.16, a = 8.7x 10-6/°F] rod (2). Assume L1=17 in., L2=27 in. If the supports at A and C are rigid and the assembly is stress free at 14°F, determine: (a) the normal stresses o1,02 in both rods at 176°F (positive if tensile, negative if compressive). (b) the displacernent ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. B (1) (2) L1 L2 Answers: (a) oj = i 23.253 ksi, o2 = i 11.745 ksi (b) ug = -0.017055 in. (c) Adj = in. 0.0020319
Problem 4 Given two welded plates n A36 plates t= 3/ • fillet size w=1/4" Electrode Fexx= 70 ksi • plate width = 9" ● ● ↑ t=¾/2" = 2) = Pu= smaller of (1) A(2) w=1/4" Base Metal Strength, DRn is given by: ÞRn = 0.75(0.6Fu) (tBM)(Lw) t=3/8" Determine max Pu that can be applied to this connection ? hint: Dobtain Pue based on weld strength (transverse) BM strength = where tbm = thickness of the thinner connected plate Lw= length of the weld Fillet weld this side only i.e. lw= 9 in کہ ۔ Ри opy
Date: Course: Time: Pind the vertical movement os is 120 KN Stsel Aluminum 3 m Im B P=120 kat Aluminum A = 900 mm² E = 70 GN m² steel A= 600 mm E 200 GNM² %3D
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The axial assembly consists of a solid 1.01-in-diameter aluminum alloy [E = 8900 ksi, v = 0.33,a = 12.4x 10-6/°F] rod (1) and a solid 1.63-in-diameter bronze [E = 15400 ksi, v= 0.17, a = 7.3x 10-6/°F] rod (2). Assume L,=15 in., L2=29 in. If the supports at A and Care rigid and the assembly is stress free at 6°F, determine: (a) the normal stresses o1,02 in both rods at 167°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. B (1) L1 L2 Answers: (a) o = ksi, o2 = ksi (b) ug = in. (c) Adi i in.
What is another term for bend? (A) flex B compress fracture D) twist E stretch

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