1 Tension, Compression, And Shear 2 Axially Loaded Members 3 Torsion 4 Shear Forces And Bending Moments 5 Stresses In Beams (basic Topics) 6 Stresses In Beams (advanced Topics) 7 Analysis Of Stress And Strain 8 Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings) 9 Deflections Of Beams 10 Statically Indeterminate Beams 11 Columns Chapter2: Axially Loaded Members
Chapter Questions Section: Chapter Questions
Problem 2.2.1P: A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar... Problem 2.2.2P: Rigid bar ABC is supported with a pin at A and an elastic steel rod at C. The elastic rod has a... Problem 2.2.3P: The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin... Problem 2.2.4P: A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to... Problem 2.2.5P: A steel wire- and an aluminum allay wire have equal lengths, and support equal loads P (see figure).... Problem 2.2.6P: By what distance h does the cage shown in the figure move downward when the weight W is placed... Problem 2.2.7P: Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and... Problem 2.2.8P: A plastic cylinder is held snugly between a rigid plate and. a foundation by two steel bolts (see... Problem 2.2.9P: A safety valve on the top of a tank containing steam under pressure p has a discharge hole of... Problem 2.2.10P: The device shown in the figure consists of a prismatic rigid pointer ABC supported by a uniform... Problem 2.2.11P: A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10... Problem 2.2.12P: A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30... Problem 2.2.13P: Two rigid bars are connected to each other by two linearly elastic springs. Before loads are... Problem 2.2.14P: The three-bar truss ABC shown in the figure part a has a span L = 3 m and is constructed of steel... Problem 2.2.15P: An aluminum wire having a diameter d = 1/10 in. and length L = 12 ft is subjected to a tensile load... Problem 2.2.16P: A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring... Problem 2.2.17P: A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight... Problem 2.2.18P: The horizon Lai rigid beam A BCD is supported by vertical bars BE and CF and is loaded by vertical... Problem 2.2.19P: Two pipe columns (AB, FC) are pin-connected to a rigid beam (BCD), as shown in the figure. Each pipe... Problem 2.2.20P: A framework ABC consists of two rigid bars AB and BC. Each having a length b (see the first part of... Problem 2.2.21P: Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10... Problem 2.3.1P: The length of the end segments of the bar (see figure) is 20 in. and the length of the prismatic... Problem 2.3.2P: A long, rectangular copper bar under a tensile load P hangs from a pin that is supported by two... Problem 2.3.3P: An aluminum bar AD (see figure) has a cross-sectional area of 0.40 in- and is loaded by Forces Pi=... Problem 2.3.4P: A vertical bar consists of three prismatic segments A\, A,, and A3with cross-sectional areas of 6000... Problem 2.3.5P: A vertical bar is loaded with axial loads at points B, C, and D. as shown in the figure. The bar is... Problem 2.3.6P: Repeat Problem 2.3-4, but now include the weight of the bar. Sec Table 1.1 in Appendix I for the... Problem 2.3.7P: -7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the... Problem 2.3.8P: A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has... Problem 2.3.9P: Solve the preceding problem if the axial stress in the middle region is 24,000 psi, the length is 30... Problem 2.3.10P: A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in... Problem 2.3.11P: A steel bar is 8.0 Ft long and has a circular cross section of diameter d1= 0.75 in. over one-half... Problem 2.3.12P: A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has... Problem 2.3.13P: A woodpile, driven into the earth, supports a load P entirely by friction along its sides (see... Problem 2.3.14P: Consider the copper lubes joined in the strength of the copper is err = 200 MPa, figure using a... Problem 2.3.15P: The nonprismalic cantilever circular bar shown has an internal cylindrical hole of diameter dtl From... Problem 2.3.16P: *16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight... Problem 2.3.17P: A flat bar of rectangular cross section, length L, and constant thickness t is subjected to tension... Problem 2.3.18P: A flat brass bar has length L, constant thickness t, and a rectangular cross section whose width... Problem 2.3.19P: Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements... Problem 2.3.20P: Repeat Problem 2.3-18, but assume that the bar is made of aluminum alloy. If P2= 200 kN, what is... Problem 2.3.21P: A slightly tapered bar AB of solid circular crass section and length L is supported at end B and... Problem 2.3.22P: A circular aluminum alloy bar of length L = 1.8 m has a slot in the middle half of its length (see... Problem 2.3.23P: A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs... Problem 2.3.24P: A post AB supporting equipment in a laboratory is tapered uniformly throughout its height H (see... Problem 2.3.25P: The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic... Problem 2.3.26P: A uniformly tapered lube AB of circular cross section and length L is shown in the figure. The... Problem 2.3.27P: A vertical steel bar ABC is pin-supported at its upper end and loaded by a force Ptat its lower end.... Problem 2.3.28P: A T-frame structure is torn posed of a prismatic beam ABC and a nonprismatic column DBF. The beam... Problem 2.3.29P: A T-frame structure is composed of prismatic beam ABC and nonprismatic column DBF that are joined at... Problem 2.3.30P: Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure). Problem 2.3.31P: A bar ABC revolves in a horizontal plane about a vertical axis at the midpoint C (see figure). The... Problem 2.4.1P: The assembly shown in the figure consists of a brass core (diameter d:= 0.25 in.) surrounded by a... Problem 2.4.2P: A cylindrical assembly consisting of a brass core and an aluminum collar is compressed by a load P... Problem 2.4.3P: A steel bar with a uniform cross section, is fixed at both ends. A load P = 2.5 tips is applied at... Problem 2.4.4P: A horizontal rigid bar ABC is pinned at end A and supported by two cables at points B and C. A... Problem 2.4.5P: A solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and... Problem 2.4.6P: Three prismatic bars, two of material A and one of material B. transmit a tensile load P (see... Problem 2.4.7P: A circular bar ACB of a diameter d having a cylindrical hole of length .r and diameter till from A... Problem 2.4.8P: Bar ABC is fixed at both ends (see figure) and has load P applied at B. Find reactions at A and C... Problem 2.4.9P: Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic.... Problem 2.4.10P: A plastic rod AB of length L = 0.5 m has a diameter d1= 30 mm (see figure). A plastic sleeve CD of... Problem 2.4.11P: 2.4-11 Three steel cables jointly support a load of 12 kips (see figure). The diameter of the middle... Problem 2.4.12P: The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end... Problem 2.4.13P: A lube structure is acted on by loads at B and D, as shown in the figure. The tubes are joined using... Problem 2.4.14P: A hollow circular pipe (see figure} support s a load P that is uniformly distributed around a cap... Problem 2.4.15P: The aluminum and steel pipes shown in the figure are Fastened to rigid supports at ends A and B and... Problem 2.4.16P: A rigid bar of weight W = SOO N hangs from three equally spaced vertical wines( length L = 150 mm,... Problem 2.4.17P: A bimetallic bar (or composite bar) of square cross sec lion with dimensions 2b X lb is construe ted... Problem 2.4.18P: S Three-bar truss ABC (see figure) is constructed of steel pipes having a cross-sectional area A =... Problem 2.4.19P: A horizontal rigid bar of weight If' = 72001b is supported by three slender circular rods that are... Problem 2.4.20P: A rigid bar ABCD is pinned at point B and supported by springs at A and D (see figure). The springs... Problem 2.4.21P: A rigid bar AB if of a length B = 66 in. is. hinged to a support at A and supported by two vertical... Problem 2.4.22P: Find expressions For all support reaction forces in the plane frame with load 2P applied at C, as... Problem 2.4.23P: A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end... Problem 2.4.24P: Find expressions for all support reaction Forces in the plane frame with load 3P applied at C as... Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus... Problem 2.5.2P: A circular steel rod of diameter d is subjected to a tensile force P = 3.5 kN (see figure). The... Problem 2.5.3P: A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of... Problem 2.5.4P: A steel rod. of 15-mm diameter is held snugly (but without am1 initial stresses) between rigid walls... Problem 2.5.5P: A bar AB of length L is held between rigid supports and heated no uniformly in such a manner that... Problem 2.5.6P: A beam is constructed using two angle sections (L 102 × 76 × 6.4) arranged back to back, as shown in... Problem 2.5.7P: A W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of... Problem 2.5.8P: A plastic bar ACB having two different solid circular cross sections is held between rigid supports,... Problem 2.5.9P: ,5-9 A flat aluminum alloy bar is fixed at both ends. Segment AB has a slight taper. If the... Problem 2.5.10P: Repeat Problem 2.5-9 for the flat bar shown in the figure but assume that and that Problem 2.5.11P: A circular steel rod AB? (diameter d, = 1.0 in., length L1= 3.0 Ft) has a bronze sleeve (outer... Problem 2.5.12P: A circular, aluminum alloy bar of a length L = 1.8 m has a slot in the middle half of its length... Problem 2.5.13P: Rectangular bars of copper and aluminum are held by pins at their ends, as shown in the figure. Thin... Problem 2.5.14P: A brass sleeve S is fitted over a steel bolt B (see figure), and the nut is lightened until it is... Problem 2.5.15P: A rigid triangular frame is pivoted at C and held by two identical horizontal wires at points A and... Problem 2.5.16P: ,5-16 A rigid bar ABCD is pinned at end A and supported by two cables at points Band C (see figure).... Problem 2.5.17P: A copper bar AB with a length 25 in. and diameter 2 in. is placed in position at room temperature... Problem 2.5.18P: A steel wire AB is stretched between rigid supports (see figure). The initial priestess in the wire... Problem 2.5.19P: -19 The mechanical assembly shown in the figure consists of an aluminum tube, a rigid end plate, and... Problem 2.5.20P: A bar AB having a length L and axial rigidity EA is fixed at end A (see figure). At the other end, a... Problem 2.5.21P: Pipe 2 has been inserted snugly into Pipe I. but the holes Tor a connecting pin do not line up;... Problem 2.5.22P: A non prism elk- bar ABC made up of segments AB(length £,, cross-sectional area .Inland BC (length... Problem 2.5.23P: Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the... Problem 2.5.24P: A rigid steel plate is supported by three posts of high-strength concrete each having an effective... Problem 2.5.25P: A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just... Problem 2.5.26P: A plastic cylinder is held snugly between a rigid plate and. a foundation by two steel bolts (see... Problem 2.5.27P Problem 2.5.28P: Consider the sleeve made From two copper tubes joined by tin-lead solder over distance s. The sleeve... Problem 2.5.29P: A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed... Problem 2.5.30P: Prestressed concrete beams are sometimes manufactured in the following manner. High-strength steel... Problem 2.5.31P Problem 2.6.1P: A steel bar of rectangular cross section (1.5 in. × 2.0 in.) Carries a tensile load P (see figure).... Problem 2.6.2P: A circular steel rod of diameter d is subjected to a tensile force P = 3.5 kN (see figure). The... Problem 2.6.3P: A standard brick (dimensions 8 in. × 4 in. × 2.5 in ) is compressed lengthwise by a force P. as... Problem 2.6.4P: A brass wire of diameter d = 2.42 mm is stretched tightly between rigid supports so that the tensile... Problem 2.6.5P Problem 2.6.6P: A steel bar with a diameter d = 12 mm is subjected to a tensile load P = 9.5 kN (see figure). (a)... Problem 2.6.7P: During a tension lest of a mild-steel specimen (see figure), the extensometer shows an elongation of... Problem 2.6.8P: A copper bar with a rectangular cross section is held without stress between rigid supports (see... Problem 2.6.9P: A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial... Problem 2.6.10P: A prismatic bar with a length L = 1 m and cross-sectional area A = 1200 mm2 is supported at the... Problem 2.6.11P: The plane truss in the figure is assembled From steel C 10 X 20 shapes (see Table 3(a) in Appendix... Problem 2.6.12P: Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is... Problem 2.6.13P: A plastic bar of rectangular cross section (ft = 1.5 in. and h = 3 in.) fits snugly between rigid... Problem 2.6.14P: A copper bar of rectangular cross section (b = 18 mm and k = 40 mm) is held snugly (but without any... Problem 2.6.15P: A circular brass bar with a diameter J is member AC in truss ABC thai has load P = 5000 lb applied... Problem 2.6.16P: Two boards are joined by gluing along a scarf joint, as shown in the figure. For purposes of cutting... Problem 2.6.17P: Acting on the sides of a stress element cut from a bar in uniaxial stress are tensile stresses of... Problem 2.6.18P: A prismatic bar is subjected to an axial force that produces a tensile stress ????=65 MPa and a... Problem 2.6.19P: The normal stress on plane pq of a prismatic bar in tension (see figure) is found to be 7500 psi. On... Problem 2.6.20P: A tension member is to be constructed of two pieces or plastic glued along plane pq (see figure).... Problem 2.6.21P: -21 Plastic bar AB of rectangular cross section (6 = 0.75 in. and h = 1.5 in.) and length L = 2 Ft... Problem 2.6.22P: A compression bar having a square cross section with sides b = 50 mm is subjected to load P. The bar... Problem 2.7.1P: A prismatic bar AD of length L, cross-sectional area A. and modulus of elasticity E is subjected to... Problem 2.7.2P: A bar with a circular cross section having two different diameters d and 2d is shown in the figure.... Problem 2.7.3P: A three-story steel column in a building supports roof and floor loads as shown in the figure. The... Problem 2.7.4P: The bar ABC shown in the figure is loaded by a force P acting at end C and by a force Q acting at... Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight... Problem 2.7.6P: The truss ABC shown in the Figure is subjected to a horizontal load P at joint B. The two bars are... Problem 2.7.7P: -7 The truss A BC Shawn in the figure supports a horizontal load P1= 300 lb and a vertical load P2=... Problem 2.7.8P: The statically indeterminate structure shown in the figure consists of a horizontal rigid bar AB... Problem 2.7.9P: A slightly tapered bar AB of rectangular cross section and length L is acted upon by a force P (see... Problem 2.7.10P: A compressive load P is transmitted through a rigid plate to three magnesium-alloy bars that are... Problem 2.7.11P: A block B is pushed against three springs by a force P (see figure). The middle spring has a... Problem 2.7.12P: A bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness... Problem 2.8.1P: A sliding collar of weight W = 150 lb falls From a height h = 2.0 in. onto a flange at the bottom of... Problem 2.8.2P: Solve the preceding problem if the collar has mass M = 80 kg, the height h = 0.5 m, the length L =... Problem 2.8.3P Problem 2.8.4P: A block weighing W = 5.0 N drops inside a cylinder from a height h = 200 mm onto a spring having... Problem 2.8.5P: Solve the preceding problem for W = 1.0 lb. h = 12 in.,and k =0.511,/in. Problem 2.8.6P Problem 2.8.7P: A weight W = 4500 lb falls from a height h onto a vertical wood pole having length L = 15 ft,... Problem 2.8.8P Problem 2.8.9P Problem 2.8.10P: A bumping post at the end of a track in a railway yard has a spring constant k = 8.0 MN/m (see... Problem 2.8.11P: A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a... Problem 2.8.12P: A bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic... Problem 2.8.13P Problem 2.8.14P: A rigid bar AB having a mass M = 1.0 kg and length L = 0.5 m is hinged at end A and supported at end... Problem 2.10.1P: The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 3.0 kips.... Problem 2.10.2P: The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 2.5 kN. Each... Problem 2.10.3P: A flat bar of width b and thickness t has a hole of diameter d drilled through it (see figure). The... Problem 2.10.4P: Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure).... Problem 2.10.5P Problem 2.10.6P: ,10-6 A prismatic bar with a diameter d0= 20 mm is being compared with a stepped bar of the same... Problem 2.10.7P: A stepped bar with a hole (see figure) has widths h = 2.4 in. and c = 1.6 in. The fillets have radii... Problem 2.11.1P: A bar AB of length L and weight density y hangs vertically under its awn weight (see figure). The... Problem 2.11.2P: A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30... Problem 2.11.3P Problem 2.11.4P: A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material... Problem 2.11.5P: An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A =... Problem 2.11.6P: A rigid bar AB is pinned al end A and is supported by a wine CD and loaded by a force P at end B... Problem 2.12.1P: Two identical bars AB and BC support a vertical load P (see figure). The bars are made of steel... Problem 2.12.2P: A stepped bar ACB with circular cross sections is held between rigid supports and loaded by an axial... Problem 2.12.3P: A horizontal rigid bar AB supporting a load P is hung from Five symmetrically placed wires, each of... Problem 2.12.4P Problem 2.12.5P: The symmetric truss ABCDE shown in the figure is constructed of four bars and supports a load P at... Problem 2.12.6P: Five bars, each having a diameter of 10 mm. support a load P as shown in the figure. Determine the... Problem 2.12.7P Problem 2.12.8P: A rigid bar ACB is supported on a fulcrum at C and loaded by a Force P at end B (see figure). Three... Problem 2.12.9P: The structure shown in the figure consists of a horizontal rigid bar ABCD supported by two steel... Problem 2.12.10P: Two cables, each having a length i. of approximately 40 m, support a loaded -container of weight W... Problem 2.12.11P: A hollow circular tube T of a length L = 15 in. is uniformly compressed by a force P acting through... Problem 2.11.3P
Related questions
Concept explainers
Transcribed Image Text: A material having a shear modulus G. Is deformed under a pure shear stress as shown in the following figure. Calculate the applied shear stress. Given: a 1 mm. b= 200 mm and
G= 1.5 GPa.
Consider a linear elastic behavior.
bo
Branch of science that deals with the stationary and moving bodies under the influence of forces.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
