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 Chapter5: Stresses In Beams (basic Topics)
Chapter Questions Section: Chapter Questions
Problem 5.4.1P: A steel wire with a diameter of d = 1/16 in. is bent around a cylindrical drum with a radius of R =... Problem 5.4.2P: A copper wire having a diameter ofd = 4 mm is bent into a circle and held with the ends just... Problem 5.4.3P: A 4.75-in, outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench... Problem 5.4.4P: A cantilever beam AB is loaded by a couple M0at its free end (see figure). The length of the beam is... Problem 5.4.5P: A thin strip of steel with a length of L =19 in. and thickness of t = 0,275 in. is bent by couples... Problem 5.4.6P: A bar of rectangular cross section is loaded and supported as shown in the figure. The distance... Problem 5.4.7P: A simply supported beam with a length L = 10 ft and height 7 in. is bent by couples Müinto a... Problem 5.4.8P: A cantilever beam is subjected to a concentrated moment at B, The length of the beam L = 3 m and the... Problem 5.5.1P: A thin strip of hard copper (E = 16,000 ksi) having length L = 90 in, and thickness; E= 3/32 in. is... Problem 5.5.2P: A steel wire (E = 200 GPa) of a diameter d = L25 mm is bent around a pulley of a radius i/o = 500 mm... Problem 5.5.3P: A thin, high-strength steel rule (E = 30 x 10ft psi) having a thickness t = 0.175 in. and length L =... Problem 5.5.4P: A simply supported wood beam AB with a span length L = 4 m carries a uniform load of intensity 4 =... Problem 5.5.5P: Beam ABC has simple supports at A and B and an overhang from B to C. The beam is constructed from a... Problem 5.5.6P: A simply supported beam is subjected to a in early varying distributed load q(x)=xL with maximum... Problem 5.5.7P: Each girder of the lift bridge (sec figure) is 180 ft long and simply supported at the ends. The... Problem 5.5.8P: A freight-car axle AS is loaded approximately as shown in the figure, with the forces P representing... Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure).... Problem 5.5.10P: During construction of a highway bridge, the main girders are cantilevered outward from one pier... Problem 5.5.11P: The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the... Problem 5.5.12P: A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 175 kN, acting as... Problem 5.5.13P: A fiberglass pipe is lifted by a sling, as shown in the figure. The outer diameter of the pipe is... Problem 5.5.14P: A small dam of height h = 2.0 m is constructed of vertical wood beams AB of thickness t = 120 mm, as... Problem 5.5.15P: Determine the maximum tensile stress (7, (due to pure bending about a horizontal axis through C by... Problem 5.5.16P: Determine the maximum bending stress emaxdue to pure bending by a moment (M) for a beam having a... Problem 5.5.17P: A simple beam A B of a span length L = 24 ft is subjected to two wheel loads acting at a distance d... Problem 5.5.18P: Determine the maximum tensile stress erand maximum compressive stress ecdue to the load P acting on... Problem 5.5.19P: A cantilever beam A3, loaded by a uniform load and a concentrated load (sec figure), is constructed... Problem 5.5.20P: A canti lever beam A B of a n isosceles t rapezoi-dal cross section has a length L = 0.8 m,... Problem 5.5.21P: A cantilever beam, a C12 x 30 section, is subjected to its own weight and a point load at B. Find... Problem 5.5.22P: A frame ABC travels horizontally with an acceleration a0(see figure). Obtain a formula for the... Problem 5.5.23P: A beam ABC with an overhang from B to C supports a uniform load of 200 lb/ft throughout its length... Problem 5.5.24P: A cantilever beam AB with a rectangular cross section has a longitudinal hole drilled throughout its... Problem 5.5.25P: A beam with a T-section is supported and loaded as shown in the figure. The cross section has width... Problem 5.5.26P: Consider the compound beam with segments AB and BCD joined by a pin connection (moment release) just... Problem 5.5.27P: A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure.... Problem 5.5.28P: A foot bridge on a hiking trail is constructed using two timber logs each having a diameter d = 0.5... Problem 5.5.29P: A steel post (E=30×106) having thickness t = 1/8 in. and height L = 72 in. support a stop sign (see... Problem 5.5.30P: Beam ABCDE has a moment release just right of joint B and has concentrated moment loads at D and E.... Problem 5.6.1P: A simply supported wood beam having a span length L = 12 ft is subjected to unsymmetrical point... Problem 5.6.2P: A simply supported beam (L = 4.5 m) must support mechanical equipment represented as a distributed... Problem 5.6.3P: The cross section of a narrow-gage railway bridge is shown in part a of the figure. The bridge is... Problem 5.6.4P: A fiberglass bracket A BCD with a solid circular cross section has the shape and dimensions shown in... Problem 5.6.5P: A cantilever beanie B is loaded by a uniform load q and a concentrated load P, as shown in the... Problem 5.6.6P: A simple beam of length L = 5 m carries a uniform load of intensity q = 5,8 kN/m and a concentrated... Problem 5.6.7P: A simple beam AB is loaded as shown in the figure. Calculate the required section modulus S if ^aibw... Problem 5.6.8P: A pontoon bridge (see figure) is constructed of two longitudinal wood beams, known as bulks, that... Problem 5.6.9P: A floor system in a small building consists of wood planks supported by 2-in. (nominal width) joists... Problem 5.6.10P: The wood joists supporting a plank Floor (see figure) are 38 mm × 220 mm in cross section (actual... Problem 5.6.11P: A beam ABC with an overhang from B to C is constructed of a C 10 × 30 channel section with flanges... Problem 5.6.12P: -12 A "trapeze bar" in a hospital room provides a means for patients to exercise while in bed (see... Problem 5.6.13P: A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves... Problem 5.6.14P: A cantilever beam AB with a circular cross section and length L = 750 mm supports a load P = 800 N... Problem 5.6.15P: A propped cantilever beam A BC (see figure) has a shear release just right of the mid-span. (a)... Problem 5.6.16P: A small balcony constructed of wood is supported by three identical cantilever beams (see figure).... Problem 5.6.17P: A beam having a cross section in the form of an un symmetric wide-flange shape (sec figure) is... Problem 5.6.18P: A beam having a cross section in the form of a channel (sec figure) is subjected to a bending moment... Problem 5.6.19P: Determine the ratios of the weights of four beams that have the same length, are made of the same... Problem 5.6.20P Problem 5.6.21P: A steel plate (called a cover ploie) having cross-sectional dimensions 6,0 in. × 0.5 in. is welded... Problem 5.6.22P: A steel beam ABC is simply supported at A and fiand has an overhang BC of length L = 150 mm (see... Problem 5.6.23P: A retaining wall 6 ft high is constructed of horizontal wood planks 2.5 in. thick (actual dimension)... Problem 5.6.24P: A retaining wall (Fig. a) is constructed using steel W-shape columns and concrete panel infill (Fig,... Problem 5.6.25P: A beam of square cross section (a = length of each side) is bent in the plane of a diagonal (see... Problem 5.6.26P: The cross section of a rectangular beam having a width b and height h is shown in part a of the... Problem 5.7.1P: A tapered cantilever beam A B of length L has square cross sections and supports a concentrated load... Problem 5.7.2P: .2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular... Problem 5.7.3P Problem 5.7.4P Problem 5.7.5P Problem 5.7.6P: A cantilever beam AB with rectangular cross sections of a constant width b and varying height /iT is... Problem 5.7.7P: A simple beam ABC having rectangular cross sections with constant height A and varying width... Problem 5.7.8P: A cantilever beam AB having rectangular cross sections with varying width bxand varying height hxis... Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /... Problem 5.8.2P: .2 Calculate the maximum shear stress tmaxand the maximum bending stress emaxin a wood beam (see... Problem 5.8.3P: A simply supported wood beam is subjected to uniformly distributed load q. The width of the beam is... Problem 5.8.4P: A simply supported wood beam with overhang is subjected to uniformly distributed load q. The beam... Problem 5.8.5P: Two wood beams, each of rectangular cross section (3.0 in. x 4.0 in., actual dimensions), are glued... Problem 5.8.6P: A cantilever beam of length L = 2 m supports a load P = 8,0 kN (sec figure). The beam is made of... Problem 5.8.7P: A steel beam of length L = 16 in. and cross-sectional dimensions h = 0.6 in. and h = 2 in. (see... Problem 5.8.8P: A beam of rectangular cross section (width/) and height supports a uniformly distributed load along... Problem 5.8.9P: A laminated wood beam on simple supports (figure part a) is built up by gluing together four 2 in. X... Problem 5.8.10P: A laminated plastic beam of square cross section is built up by gluing together three strips, each... Problem 5.8.11P: A wood beam AB on simple supports with span length equal to 10 ft is subjected to a uniform load of... Problem 5.8.12P: A simply supported wood beam of rectangular cross section and span length 1.2 m carries a... Problem 5.8.13P: A square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of... Problem 5.8.14P: A wood beam ABC with simple supports at A and B and an overhang ÄChas height h = 300 mm (sec... Problem 5.9.1P: A wood pole with a solid circular cross section (d = diameter) is subjected to a triangular... Problem 5.9.2P: A simple log bridge in a remote area consists of two parallel logs with planks across them (see... Problem 5.9.3P: A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is... Problem 5.9.4P: A circular pole is subjected to linearly varying distributed force with maximum intensity t0.... Problem 5.9.5P: A sign for an automobile service station is supported by two aluminum poles of hollow circular cross... Problem 5.9.6P: A steel pipe is subjected to a quadratic distributed load over its height with the peak intensity... Problem 5.10.1P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.2P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.3P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.4P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.5P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.6P: -1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the... Problem 5.10.7P: A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity... Problem 5.10.8P: A bridge girder A B on a simple span of length L = 14 m supports a distributed load of maximum... Problem 5.10.9P: A simple beam with an overhang supports a uniform load of intensity q = 1200 lb/ft and a... Problem 5.10.10P: A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum... Problem 5.10.11P: A hollow aluminum box beam has the square cross section shown in the figure. Calculate the maximum... Problem 5.10.12P: The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm,... Problem 5.10.13P: Calculate the maximum shear stress tmax. in the web of the T-beam show ninth o figure if b = 10 in.,... Problem 5.11.1P: A prefabricated wood I-beam serving as a floor joist has the cross section shown in the figure. The... Problem 5.11.2P: A welded steel gird crhaving the erass section shown in the figure is fabricated of two 300 mm X 25... Problem 5.11.3P: A welded steel girder having the cross section shown in the figure is fabricated of two 20 in. × 1... Problem 5.11.4P: A wood box beam is constructed of two 260 mm × 50 mm boards and two 260 mm × 25 mm boards (sec... Problem 5.11.5P: A box beam is constructed of four wood boards as shown in the figure part a. The webs are S in, x 1... Problem 5.11.6P: Two wood box beams (beams A and B) have the same outside dimensions (200 mm x 360 mm) and the same... Problem 5.11.7P: A hollow wood beam with plywood webs has the cross-s cet ion a I dimensions shown in the figure. The... Problem 5.11.8P: A beam of a T cross section is formed by nailing together two boards having the dimensions shown in... Problem 5.11.9P: The T-beam shown in the figure is fabricated by welding together two steel plates. If the allowable... Problem 5.11.10P: A steel beam is built up from a W 410 × 85 wide flange beam and two 180 mm X 9 mm cover plates (see... Problem 5.11.11P: The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 X 82 with... Problem 5.11.12P: Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the... Problem 5.12.1P: A pole is fixed at the base and is subjected to a linearly varying distributed force with maximum... Problem 5.12.2P: A solid circular pole is subjected to linearly varying distributed force with maximum intensity q0at... Problem 5.12.3P: While drilling a hole with a brace and bit, you exert a downward force P = 25 lb on the handle of... Problem 5.12.4P: An aluminum pole for a street light weighs 4600 N and supports an arm that weighs 660 N (see... Problem 5.12.5P: A curved bar ABC having a circular axis (radius r = 12 in.) is loaded by forces P = 400 lb (see... Problem 5.12.6P: A rigid Trame ABC is formed by welding two steel pipes at B (see figure). Each pipe has... Problem 5.12.7P: A palm tree weighing 1000 lb is inclined at an angle of 60º (see figure). The weight of the tree may... Problem 5.12.8P: A vertical pole of aluminum is fixed at the base and pulled at the top by a cable having a tensile... Problem 5.12.9P: Because of foundation settlement, a circular tower is leaning at an angle a to the vertical (see... Problem 5.12.10P: A steel bracket of solid circular cross section is subjected to two loads, each of which is P = 4.5... Problem 5.12.11P: A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and... Problem 5.12.12P: A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the... Problem 5.12.13P: A plain concrete wall (i.e., a wall with no steel reinforcement) rests on a secure foundation and... Problem 5.12.14P: A circular post, a rectangular post, and a post of cruciform cross section are each compressed by... Problem 5.12.15P: Two cables, each carrying a tensile force P = 1200 lb, are bolted to a block of steel (see figure).... Problem 5.12.16P Problem 5.12.17P: A short column constructed of a W 12 × 35 wide-flange shape is subjected to a resultant compressive... Problem 5.12.18P: A short column with a wide-flange shape is subjected to a compressive load that produces a resultant... Problem 5.12.19P: A tension member constructed of an L inch angle section (see Table F-4(a) in Appendix F) is... Problem 5.12.20P: A short length of a C 200 × 17.1 channel is subjected to an axial compressive force P that has its... Problem 5.13.1P: The beams shown in the figure are subjected to bending moments M = 2100 lb-in. Each beam has a... Problem 5.13.2P: The beams shown in the figure are subjected to bending moments M = 250 N · m. Each beam has a... Problem 5.13.3P: A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h =... Problem 5.13.4P: A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h =... Problem 5.13.5P: A rectangular beam with notches and a hole (see figure) has dimensions h = 5.5 in., h1= 5 in., and... Problem 5.8.6P: A cantilever beam of length L = 2 m supports a load P = 8,0 kN (sec figure). The beam is made of...
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Hi, could you please help me work through this mechanics of materials problem?
Transcribed Image Text: (a) Please compute and plot the shear force and bending moment diagrams for the beam shown
below in Figure 1.1. Please use graphical method with justifications.
(b) The beam in Figure 1.1 is made of A-36 structural steel with a rectangular cross-section
shown in Figure 1.1. Please determine the maximum tensile and compressive stresses in
the beam.
(c) Now rotate the cross-section shape by 90° and find the maximum tensile and compressive
stresses in the beam.
300 lb
1 in
200 lb/ft
Beam
Hinge
2 in
0.5 in 0
2 in
1 in
2'
2'
Beam Cross Section
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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