CA) 1 in 2 in Fig. 1a Fig. 1b Cross-section Problem. 1. A simply supported beam...
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.
1.2 (20 Marks) A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in bending and shear are all and Tallow, respectively. a) If the beam is simply supported, what is the span length Lo below which the shear stress governs the allowable load and above which the bending stress governs? b) If the beam is supported as a cantilever, what is the length Lo below...
Problem 3: A simply supported wooden beam, 12' long, is acted on by P= 10 kip at the mid-span and a uniformly distributed load w = 1.5 kip/feet over the entire length. The nominal size of beam cross-section is 8 x 12, however, actual cross-section is 7.5 x 11.5. Calculate the maximum tensile & compressive bending stresses at the top and bottom fibers of the section. ANS: Maximum tensile & compressive stresses (o) are = . -
(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...
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 = 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 simply supported wood beam AB with span length L = 6 m carries a trapezoidal distributed load of intensity q = 4 kN/m at the left end and q/2 at the right end. Calculate the maximum bending stress Omax due to the load if the beam has a rectangular cross section with width b = 150 mm and height h = 250 mm.
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%