12-42 The simply supported beam is built up from three boards by nailing them together as shown. The wood has an alkıwable shear stress of Ta = 15 MP, and an allowable bending stress of a= 9 MPa The nails are spaced at s= 75 mm, and cach has a shear strength of 15 kN Determine the maximum alkowable force Pthat can be applied to the beam. 100 mim 25 mm 25 mm- 200 mm mim
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- A simply supported concrete beam 6m long is reinforce with four-28 mm diamgram tension bars. The beam has a width of 300mm and over all depth of 400.the steel covering to the centroid of the renforcement is 70 mm fc=30mpa and fy 418mpa A .draw a stress diagram B.compute for the ultimate capacity of the beamA wooden beam is fabricated from one 2 × 16 and two 2 × 10 dimension lumber boards to form the double-tee cross-section shown. The beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 176 lb in direct shear. The allowable shear stress of the wood is 83 psi. Assume b1 = 16 in., b2 = 2 in., d1 = 2 in., d2 = 10 in.(b) What nail spacing s would be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.) [Answer: s = 1.17 in]Determine the necessary we reinforcement for a simple beam subjected to an equllionum lactored torque I., =25 kN - m and V, = 160 kN. The beam section has b = 350 mm, h = 550 mm, and d = 487.5 mm . and is reinforced on the tension side only by four D-28 bars. Use f; = 27.6MPaand f,=276MPa.
- The following box beam is constructed from four boards that are fastened together using nails. Aforce P is applied to the end of the beam, 8ft from the fixed support. There is a compressive 500lbforce applied horizontally at the bottom of the beam. The nails used to support the bottom board(at A) are spaced every 3 inches and the nails along the top board (at B) are spaced every 2 inches. a. The nails can support a force F = 350 lb. Based on the strength of the nails, determine themaximum allowable force P that can be applied to the beam as shown.A T-section has a flange width of 750 mm, thickness of flange is 50mm. Effective depth is 750 mm with a width of web section of 350 mm. The beam is subjected to a factored moment ??=816 kN-m, concrete has a strength of 21 MPa and that the yield stress of the steel is 277 MPa. Determine the following:a. Nominal moment capacity of the overhanging portion of the section.b. Depth of the compression blockc. Area of reinforcemenA wooden beam is fabricated from one 2 × 10 and two 2 × 10 dimension lumber boards to form the double-tee cross section shown. The beam flange is fastened to the stem with nails. Each nail can safely transmit a force of 212 lb in direct shear. The allowable shear stress of the wood is 72 psi. Assume b1 = 10 in., b2 = 2 in., d1 = 2 in., d2 = 10 in.(a) If the nails are uniformly spaced at an interval of s = 3.4 in. along the span, what is the maximum internal shear force V that can be supported by the double-tee cross section?(b) What nail spacing s would be necessary to develop the full strength of the double-tee shape in shear? (Full strength means that the maximum horizontal shear stress in the double-tee shape equals the allowable shear stress of the wood.)
- About Uncracked and Craked Section 1. A doubly reinforced beam has dimension of 300mmw x 600mmh. It is reinforced with 2-25mm diam compression bars and 4 25mm diam tension bars. Concrete cover from centroid of steel bar is 60mm. On its section has a bending moment of 300KN-m. Using working stress design method what are the stresses acting on the concrete, compressive and tensile steel bars? used n: 83. A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-∅25 mm bars in two rows with 25 mm vertical clear spacing. Use material strengths f’c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: a. Effective flange width of an interior beam in mm =____? ____ b. Depth of uniform stress block at ultimate stage in mm to the nearest whole number = ____?____ c. Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places =____?_____A cantilever of rectangular section is 70 mm wide and 250 mm deep at the fixed end andtapers uniformly to 75 mm wide and 100 deep at the free end. The projecting length is1800 mm, and there is a load of 1800 N at the free end. Calculate the deflection of thefree end and the maximum bending stress. Take E = 14000 N/mm2. The cantilever is madeof timber.