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 5.13.4P: A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h =...
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Mechanics of deformable bodies:
Transcribed Image Text: PROBLEM: The beam shown is made by gluing together four pieces 300mm x 12mm wooden planks as shown.
8 kN
12mm
5 kN/m
300mm
12mm
8m
- 2m -
6m
300mm
Determine the maximum bending stress in the beam due to the given loads.
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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