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1.2 (20 Marks) A beam of rectangular cross section (width b and height h) supports a...
(a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...
A simply supported wood beam of rectangular cross section and span length 2 m carries a uniformly distributed load of intensity 9 = 1 kN/m as shown. Calculate the maximum bending stress and the maximum shear stress in the beam.
A simply supported wood beam with a span of L = 16 ft supports a uniformly distributed load of w0 = 305 lb/ft. The allowable bending stress of the wood is 1.30 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 1.75, calculate the minimum width b that can be used for the beam. A simply supported wood beam with a span of L = 16 ft supports a uniformly distributed load of...
A simply supported wood beam with a span of L = 17 ft supports a uniformly distributed load of w0 = 250 lb/ft. The allowable bending stress of the wood is 1.65 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 2.25, calculate the minimum width b that can be used for the beam.
A simply supported wood beam with a span of L = 12 ft supports a uniformly distributed load of w0 = 300 lb/ft. The allowable bending stress of the wood is 1.70 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 3.00, calculate the minimum width b that can be used for the beam.
A cantilever wood beam with a span of L = 21 ft supports a linearly distributed load with maximum intensity of w0 = 250 lb/ft. The allowable bending stress of the wood is 1.70 ksi. If the aspect ratio of the solid rectangular cross section is specified as h/b = 0.50, determine the minimum width b that can be used for the beam. A cantilever wood beam with a span of L = 21 ft supports a linearly distributed load...
4. (20 pt) A wood beam AB on simple supports with span length equal to 9 ft is subjected to a uniform load of intensity 120 lb/ft acting along the entire length of the beam and a concentrated load P acting at a point 3 ft from the right-hand support (see figure). The allowable stresses in bending and shear, respectively, are 2500 psi and 150 psi. What is the allowable P? (Note: The width and height of the cross section...
CA) 1 in 2 in Fig. 1a Fig. 1b Cross-section Problem. 1. A simply supported beam of length L = 10 ft has a rectangular cross-section, with a height of 2 inches and a width of 1 inch. The bending stresses should not exceed 50 ksi. a) What is the largest allowable point load P that can be applied at the mid-span (i.e. in the middle of the beam)? b) What is the largest allowable constant distributed load that can...
For a beam of rectangular cross section, height b, depth d, is simply supported (by pin joints at each end) over a span of length L and carries a point load W at mid span. Determine the distribution and maximum value of the normal stress.
A simply supported wood beam with a span of L = 23 ft supports a uniformly distributed load of w0 = 300 lb/ft. The allowable bending stress of the wood is 1.95 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 2.25, calculate the minimum width b that can be used for the beam. Wo 2L Answer: b - in. The number of significant digits is set to 3; the tolerance is +/-1%