Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 15000 ksi, α=α= 9.2 × 10−6/°F] bar with a cross-sectional area of 1.75 in.2. Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, α=α= 11.9 × 10−6/°F] bar with a cross-sectional area of 2.25 in.2. Both bars are unstressed before the load P is applied. Assume L1=34 in., L2=42 in., a=30 in., b=42 in., and c=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine: Part 7Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.Answers: &₁ =Part 8Answer: vc=Determine the deflection of the rigid bar ABCD at point C. A positive deflection is down.Part 9με, ἐξ =Answer: VD=in.με.Determine the deflection of the rigid bar ABCD at point D. A positive deflection is down.in. Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 15000 ksi, a = 9.2 x 10-6/°F] bar with a cross-sectional area of 1.75 in.². Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, a = 11.9 × 10-6/°F] bar with a cross-sectional area of 2.25 in.².Both bars are unstressed before the load P is applied. Assume L₁=34 in., L₂=42 in., a=30 in., b-42 in., andc=16 in. If a concentrated load of P = 27 kips is applied to the rigid bar at D and the temperature isdecreased by 120°F, determine:(a) the normal stresses in bars (1) and (2).(b) the normal strains in bars (1) and (2).(c) the deflection of the rigid bar at point D.a(1)BL₁b(2)сL2DP

Answered: Image /qna-images/answer/779f2fb2-c10c-49ee-a926-28e701b125aa.jpg

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 15000 ksi, α=α= 9.2 × 10−6/°F] bar with a cross-sectional area of 1.75 in.2. Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, α=α= 11.9 × 10−6/°F] bar with a cross-sectional

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 34-in.-long bronze [E = 15000 ksi, α=α= 9.2 × 10−6/°F] bar with a cross-sectional area of 1.75 in.2. Bar (2) is a 42-in.-long aluminum alloy [E = 10300 ksi, α=α= 11.9 × 10−6/°F] bar with a cross-sectional

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 8ETSQ

See similar textbooks

Similar questions

Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 24-in.-long bronze [E = 16100 ksi] bar with a cross-sectional area of 1.18 in.2. Bar (2) is a 40-in.-long aluminum alloy [E = 9400 ksi] bar with a cross-sectional area of 2.03 in.2. Assume L1=24 in., L2=40 in., a=31 in., b=41 in., and c=12 in. Both bars are unstressed before the load P is applied. If a concentrated load of P = 36 kips is applied to the rigid bar at D, determine:(a) the normal stresses σ1σ1, σ2σ2 in bars (1) and (2).(b) the downward deflection vD of point D on the rigid bar.
Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi a = 9.4x 10-6/°F] bar with a cross-sectional area of 1.00 in.?. Bar (2) is a 48-in-long aluminum alloy [E = 9200 ksi, a = 12.6 x 10-6/°F] bar with a cross-sectional area of 2.50 in.?. Both bars are unstressed before the load Pis applied. Assume L4=30 in., L2=48 in., a-32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at Dand the temperature is decreased by 120°F, determine: (a) the normal stresses in bars (1) and (2). (b) the normal strains in bars (1) and (2). (c) the deflection of the rigid bar at point D. (2) L2 A B D L1 (1) b
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A1 = 870 mm?. Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of Ay = 520 mm?. Assume L$=2.6 m, La=2.9 m, a=0.7 m, b= 1.3 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance in the pin connection at A. If a load of P= 58 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains € , E2, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar.
Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15900 ksi, α= 9.4 × 10−6/°F] bar with a cross-sectional area of 1.00 in.2. Bar (2) is a 48-in.-long aluminum alloy [E = 9200 ksi, α= 12.6 × 10−6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=30 in., L2=48 in., a=32 in., b=44 in., and c=14 in. If a concentrated load of P = 29 kips is applied to the rigid bar at D and the temperature is decreased by 120°F, determine:(a) the normal stresses in bars (1) and (2).(b) the normal strains in bars (1) and (2).(c) the deflection of the rigid bar at point D. Solve for F2 and F1.Answers: F1 = kips, F2 = kips. Determine the normal stress in each bar. Use positive if tensile, negative if compressive.Answers: σ1= ksi, σ2= ksi. Determine the normal strain in bars (1) and (2). Use positive if tensile, negative if compressive.Answers:…
A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.
Problem 2 14600ksi, apr For the shown structure, AB is made by C83400-red-brass (Ebr 9.8 × 10-6/ °F) and BC is made by 2014-T6-aluminum (Eal 10600ksi, a al = 12.8 × 10-6/°F). AB and BC are joined at the collar B and fixed connected at their ends. The cross sectional area of each member is 1.75 in². If there is no load in the = member when T₁ 50 °F. Now the temperature for both members are increased to T₂ = 120 °F. Determine (1) Reaction forces at fixed end C (2) The average normal stress in the member AB (3) The average normal stress in the member BC (4) Eventually, how far will the collar B be displaced? = = 3 ft 2 ft
The light rigid bar ABCD shown is pinned at C and connected to two vertical rods. The bar was initially horizontal, and the rods were stress-free before the load P = 20 KN is applied. %3D Steel E200 GPa A-600mm L1 m 2.0 m 0.6 m 1.5 m Pa20 KN Aluminum E-70 GPa A=900mm L-1.5 m What is the ratio of the deformation of steel to deformation of aluminum?
A brass (? =5.6 ? 10^6 ???) and aluminum (? = 3.7 ? 10^6 ???) cylinders are bonded together at B, and are attached to fixed supports A and C. Determine (a) The torsion in AB, (b) The torsion in BC, (c) The maximum shearing stress in AB (d) The maximum shearing stress in BC.
Problem 1 An axial force of P is applied to the center of the rigid end plate shown below. If the portion of the load carried by the aluminum plates is half the portion of the load carried by the brass core, (a) determine the value of h, (b) the total load if the stress in the brass is 50 MPa. Brass core (E = 105 GPa) Aluminum plates (E = 70 GPa) Rigid end plate 300 mm 60 mim 40 mm
Determine the yield strength sy and the ultimate strength su of the A36 steel
The axial assembly consists of a solid 1.13-in.-diameter aluminum alloy [E = 8300 ksi, v = 0.27, a = 11.1 × 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 L3=17 in., L2=27 in. If the supports atA 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 displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Adj of the aluminum rod. (2) L1 L2 Answers: (a) oj = i ksi, o2 = i ksi (b) ug = i in. (c) Adj = i in.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 65GPa] with a cross-sectional area of A_{1} = 850m * m ^ 2 Bar (2) is a bronze alloy [E = 100GPa] with a cross-sectional area of A_{2} = 540m * m ^ 2 Assume L_{1} = 1.9m L_{2} = 2.2m , a = 0.5m b = 1.6n , and c = 1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm clearance in the pin connection at A. If a load of P = 55 KN is applied at B, determine: (a) the normal stresses Oj, 62, in both bars (1) and (2). (b) the normal strains E1, E2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar