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 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 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. L2 A B C D L1 (1) b

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 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 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. L2 A B C D L1 (1) b

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

Related questions

Q: thickness

A: Given G=5600ksi with dia of 2 inches Aluminium alloy G = 4000ksi Torque = 10ft

Q: The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares,…

A: GivenE=100GPaA=340mm2L1=810mmL2=1080mma=480mmb=38mmc=600mmσlim=165MPa

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E =…

A: Given:Youngs modulus for:Bronze, E1=16400 ksiSteel, E2=31500 ksiDiameter of:Bronze rod, d1=0.79…

Q: A steel [E = 29,200 ksi; a = 6.5 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 5.20…

Q: A steel [E = 29,200 ksi; a = 6.0 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 5.40…

A: Given: The elastic modulus of steel, E1 = 29,200 ksi The thermal coefficient of expansion of steel,…

Q: H.W.7: A pin-connected structure is supported as shown in Figure load P is applied. Bar (1) is made…

A: Given data Bar (1) made of brass [oy = 18,000 psi; E = 17 x 106 psi], length of L = 8.0 ft. Bar…

Q: H.W.6: A hollow circular cold-rolled bronze [G, 6,500 ksi] tube (1) with an outside diameter of 1.75…

A: Given: Modulus of rigidity of bronze is ,G2=6500 ksi =6500×103 lbin2 The outside diameter of bronze…

Q: A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a…

A: The steel bolt properties are E1=200 GPaα1=11.7*10-6/C The bronze sleeve properties are E2=105…

Q: A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 4.00 in. and a wall thickness…

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E =…

Q: i) and has a cross-sectional area of 0.30 in2. Bar ABDF The weight of the bars can be assu Find the…

Q: Two bars are connected to a rigid plate as shown. If L = 15 kips, M = 9 kips, N = 9 kips, and O = 33…

Q: P2 D A B P1 P2 D, dz

Q: Rigid bar ABCD shown in the figure is supported by a smooth pin at D and by vertical aluminum alloy…

Q: mooth pin at D and by vertical aluminum alloy [E = 10,C i] bars attached at joints A and C. Bar (2)…

Q: The solid steel cylinder AB and solid bronze cylinder BC are bonded (welded) together at B and are…

Q: A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.00 in. and a wall thickness…

Q: A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to…

Q: smooth pin at D and by vertical aluminum alloy [E = 10,000 ksi] bars attached at joints A and C. Bar…

Q: A steel [E = 30,600 ksi; a = 6.6 x 106/°F] pipe column (1) with a cross-sectional area of A₁ - 5.90…

A: Given that: For steel pipe, (pipe 1): E1 = 30600 kis = 30600 × 103 psi α1 = 6.6×10-6 /oF A1= 5.9 in2…

Q: A solid 0.12 in. diameter steel (E = 30,000 ksi: a = 6.5 × 10-6/°F] wire is stretched between fixed…

Q: H.W.6: A hollow circular cold-rolled bronze [G, = 6,500 ksi] tube (1) with an outside diameter of…

A: Given that, Modulus of rigidity of bronze tube 1, Gt=6500 ksi,Outside diameter of tube 1, do=1.75…

Q: A composite assembly of length, L = 300 mm, consisting of a steel [G = 79 GPa] core (2) connected by…

A: To findthe allowable torque T that can be applied to the composite shaft.The corresponding torque is…

Q: A copper [E = 102 GPa, a = 17.1x10°°°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6×10…

A: Given Data The modulus of the elasticity for copper is:E2=102 GPa The coefficient of thermal…

Q: N for Newton, m for meter, mm for millimeter, N/(mm^2) for Stress, mm^2 or m^2 for Area, mm^4…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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,
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 L1=30 in., L2=48
a =
%3D
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)

Assume the rigid bar ABCD rotates clockwise around point A. Using a deflection sketch, relate the deflections of points B and C.
Assume positive deflections are down.
Answer: VB =
VC-
Relate the deformations of member (1) and member (2).
Answer: 81 =
i
82.
Using the relationships for deformation in terms of force and temperature change for each member together with Eqn. (3), derive
a compatibility equation for the structure.
+ a¡AT¡Li] =
F2L2
+ azAT¿L2
Answer:
i
[A2E2
Solve for F2 and F1 using the results from parts 1 and 4.
Answers: F1 =
i
! kips, F2 =
i
! kips.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Rigid bar ABCD is supported by a smoth pin at D and by vertical aluminum alloy [E=10,000 ksi] bars attached at joints A and C. Bar (1) was fabricated to its intended length L1=40 in. Bar (2) was intended to have a length of 60 in.; however, its actual length after fabrication was found to be L2=59.88 in. To connect it to the pin at C on the rigid bar, bar (2) will need to be manually stretched by Δ=0.12 in. After bar (2) has been stretched and connected to the pin at C, a load P=20 kips is applied to the rigid bar at B. Use the following additional properties and dimensions: A1=A2=0.75 in2, a = 36 in, b =54 in, and c = 48 in. Determin: a) The normal stresses in bars (1) and (2). b) The deflection at A of the rigid bar.
A steel [E = 29,200 ksi; a = 6.0 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.40 in.² is connected at flange B to an aluminum alloy [E = 10,200 ksi; a = 12.9 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 3.50 in.2. The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 80°F. Assume L₁ = 117 in., L₂= 139 in., P = 36 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -14°F. Answers: (a) T= (b) σ₁ = 0₂ = (1) L₁ i i B P L2 (2) °F ksi ksi
need in 5 minutes i will upvote!
A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft. (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively. By…
A load P is supported by a structure consisting of rigid bar ABC, two identical solid aluminum alloy [E = 73 GPa] rods (1), and a solid bronze [E = 105 GPa] rod (2). The aluminum rods (1) each have a diameter of 10 mm and a length of L₁ = 2.7 m. They are symmetrically positioned relative to middle rod (2) and the applied load P. Bronze rod (2) has a diameter of 25 mm and a length of L₂ = 1.7 m. If all bars are unstressed before the load P is applied, determine the normal stresses in the aluminum and bronze rods after a load of P = 70 KN is applied to the rigid bar. L₁ B Answer: 01 = i 0₂ i L2 (2) (1) (1) MPa MPa
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15800 ksi] rods, and a solid steel [E = 27600 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.62 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.41 in. Assume L₁=30 in and L₂-62 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P=32 kips is applied. Answers: 0₁ = 02 = i L₂ B ksi. ksi.
A steel ring at a room temperature has a radius of R, of 1.00 mm x 1.00 mm. One like to insert a bar of radius R, = 2.002 cm into the ring. The following data is known for steel: 2.00 cm and a cross section area • Young Modulus E = 2.00 × 1011 Pa. • Coefficient of length contraction a = 1.20 x 10-5 C-1 • Specific heat capacity c = 511 J.kg-1.C-1 • Mass density p= 8050 kg.m -3 (a) What is the amount of heat needed for heating the ring so that the rod can fitted into it. (b) Assume the rod is rigid, calculate the pressure on the surface of the rod as the steel cool down to the room temperature.
A steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.². The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂ = 156 in., P = 34 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F. A Answers: (a) T= (b) σ₁ = 0₂ = L₁ tel i L2 °F ksi ksi
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 = 100 GPa] with a cross-sectional area of A1 = 270 mm2. Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A2 = 630 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L2 = 1450 mm. If a load of P = 127 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.
A steel [E = 30,100 ksi; a = 6.3 x 10-6/°F] pipe column (1) with a cross-sectional area of A₁ = 5.80 in.² is connected at flange B to an aluminum alloy [E = 10,700 ksi; a = 13.1 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 3.50 in.². The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 92°F. Assume L₁ = 115 in., L₂ = 149 in., P = 22 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F. A (1) L₁ B P P L2 с