installed at a spacing s = 150 mm. Each nail can provide a resistance V= 500 N. In service, the beam will be installed so that bending occurs about the z axis. Determine the following: 1) Moment of inertia of the box beam section 2) Maximum shear force that can be supported by the beam 日: 25 mm 250 mm 25 mm 40 mm 120 mm 40 mm

installed at a spacing s = 150 mm. Each nail can provide a resistance V= 500 N. In service, the beam will be installed so that bending occurs about the z axis. Determine the following: 1) Moment of inertia of the box beam section 2) Maximum shear force that can be supported by the beam 日: 25 mm 250 mm 25 mm 40 mm 120 mm 40 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.12P: The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm,...

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A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
A plastic-lined steel pipe has the cross-sectional shape shown in the figure. The steel pipe has an outer diameter d1= 100 mm and an inner diameter d2= 94 mm. The plastic liner has an inner diameter d1= 82 mm. The modulus of elasticity of the steel is 75 times the modulus of the plastic. Determine the allowable bending moment Mallowif the allowable stress in the steel is 35 M Pa and in the plastic is 600 kPa. If pipe and liner diameters remain unchanged, what new value of allowable stress for the steel pipe will result in the steel pipe and plastic liner reaching their allowable stress values under the same maximum moment (i.e., a balanced design)? What is the new maximum moment?
A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable shear force K that may act on the beam if the allowable shear stress is 36 MPa. c
A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q = 3.0 kips/ft on a span of length L = 12 ft (sec figure). The dimensions of the cross section are q = 10.5 in., b = 5.81 in., t1= 0.510 in., and fw = 0.300 in. Calculate the maximum shear stress tjuly on cross section A—A located at distance d = 2.5 ft from the end of the beam. Calculate the shear stress rat point Bon the cross section. Point B is located at a distance a = 1.5 in. from the edge of the lower flange.
A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?
The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm, and A, = 280 mm. The beam is subjected to a shear force V = 68 kN. Determine the maximum shear stress tntijlin the web of the beam.
.10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 470 mm tw = 16 mm d = 120 mm t = 4.8 mm Additionally: • The area of each pipe is A = 1737 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 254790000 mm4. If the beam will be subjected to a shear force of V = 250 kN, determine the shear stress at point K, located at yK = 80 mm below the z centroidal axis.
A gantry crane of weight W=100 Kg moves across a bridge with the length /=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles. So it’s wrong answer 1136 N can anyone how to solve for it different ?
A gantry crane of weight W=100 Kg moves across a bridge with the length I=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles.