A beam has an f'c = 5000 psi, fy = 60000 psi, reinforcement ratio = 0.0137. Which of the following is most likely true about the strain in the extreme tension steel? Use the tables posted to Canvas as needed (The ones in the back of the book). The strain is <0.004 The strain is between 0.005 and 0.004 The strain is >= 0.005
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- •width of beam, b = 400mm • thickness of beam, t = 500 mm • f'c = 20.7 MPa • fy = 415 MPa • steel cover= 65 mm • Factored Moment = 350 kN-m Determine the required area of tension reinforcement due to the factored moment in mm2 (two decimal places in the final answer)A timber wall 50 mm wide x 50 mm deep and having a height of 3.50 m is assumed to be hinged at top and bottom. It is subjected to an axial load of 15228 N on the centroid. A uniformly distributed load is also acting along the weaker axis of its entire height. The wall is made up of Apitong wood and stresses are shown in the table (Use 80% stress grade). To be safe, the actual stress should not exceed allowable stress, Given: bending and tension parallel to grain = 16.5 Mpa modulus of elasticity = 7310 Mpa compression parallel to grain = 9.56Mpa compression perpendicular to grain = 2.20 Mpa shear parallel to grain = 1.73 Mpa Determine the following: a. the allowable compressive stress b. the allowable bending stress c. the allowable uniform load "W" it could carryA wood post 12 in. by 12 in. is braced by four steel angles. The wood post and the pieces of angles are exactly the same length of 15 feet. The reinforced post carries a total compressive load of 215 kips. For steel: E = 29 x 10^3 ksi.; Area of one angle= 0.938 sq. in.; for wood: E = 1.9 x 10^3 ksi a. Find the axial stress (in psi) of the steel. b. Find the axial stress (in psi) of the wood. c. Find the axial deformation (in inches) of the post. (Answer profile: 0.XXXX)
- Topic: Singly Reinforced Concrete A simply supported concrete beam 6m long is reinforced with four-28mm diam. tension barss. The beam has a width of 300mm and overall depth of 400m. The steel covering to the centroid of the reinforcements is 70mm, fc’= 30 MPa and fy= 418 MPa. A. Draw the stress diagram. B. Compute for the Ultimate capacity of the beam Note: Don’t conclude compression bars.A laminated wood beam consists of eight 2.25 in. × 5.00-in. planks glued together to form a section b = 5.00 in. wide by d = 18 in. deep, as shown and w = 663.2 lb/ft. If the allowable strength of the glue in shear is 105 psi, Determine:(b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 86 in. from the left support. Assume that the beam is subjected to the load w determined in part (a). [Answer: τH = 19.34 psi]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 beam
- A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. The concrete cover to bar centroid is 80 mm and at the bottom is 70 mm. use concrete strength f'= 21 MPa and steel yield strength fy=415 MPa for all bars. 1. Determine the tensile steel ratio when the beam is in positive bending. a. 0.01567 b. 0.01283 c. 0.01169 d. 0.01923 2. Determine the nominal moment capacity in kN-m of the beam in positive bending. a. 188.30 b.167.70 c.218.96 d.193.68 3. Determine the tensile steel ratio when the beam is in negative bending. a. 0.00406 b. 0.00475 c.0.00383 d. 0.00508 please provide a complete solution so I can understand. Very much appreciated to solve it early !!A laminated wood beam consists of eight 2.25 in. × 5.25-in. planks glued together to form a section b = 5.25 in. wide by d = 18 in. deep, as shown. If the allowable strength of the glue in shear is 110 psi, determine(a) the maximum uniformly distributed load w that can be applied over the full length of the beam if the beam is simply supported and has a span of L = 18 ft.(b) the shear stress in the glue joint at H, which is located 4.5 in. above the bottom of the beam and at a distance of x = 51 in. from the left support. Assume that the beam is subjected to the load w determined in part (a).(c) the maximum tension bending stress in the beam when the load of part (a) is applied. Determine the maximum allowable shear force in the beam.Answer: Vmax = lb Determine the maximum allowable distributed load, w.Answer: wmax = lb/ft Determine the shear force, V, in the beam at x = 51 in. assuming the beam is subjected to the distributed load wmax…A prestressed beam has a cross section of 250 mm x 500 mm and has a simple span of 6 m. The tendons are placed 70 mm above the bottom of the beam. The wires used are stress relieved tendons with fpu= 1350 MPa and fpe= 760 MPa, fc'=35 MPa. The prestressed beam is not to be grouted after application of the prestress. Aps= 1000 sq. mm Compute the stress in prestressed reinforcement at nominal strength. Compute the ultimate moment capacity of the prestressed beam. Compute the safe live load that the prestressed beam could carry.
- The section of a prestressed box girder is shown. Unit weight of concrete is 20 kN/m3. The total prestressing force is 3400 kN. Assume that there is a loss of prestress of 15% at service loads. Simple span L = 20 m. a.What is the stress at the bottom fibers due to prestress in MPa? b.What is the stress at the top fibers due to prestress in MPa? c.What is the stress at the top fibers at midspan due to combined beam weight and prestressing force, in MPa? d.What additional uniform service load over the entire span will cause zero stress at the bottom fibers at midspan, in kN/m.4.17. A rectangular beam made using concrete with f c ′ = 6000 psi and steel with f y = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f r = 530 psi. The elastic moduli of the concrete and steel are, respectively, E c = 4,030,000 psi and E s = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. ( a ) Find the maximum service load moment that can be resisted without stressing the concrete above 0 .45 f c′ or the steel above 0.40 f y . ( b ) Determine whether the beam will crack before reaching the service load. ( c ) Compute the nominal flexural strength of the beam. ( d ) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.Design a longitudinal reinforcement and shear reinforcement using charts given in appendixfor a 275 mm square column is required to support ultimate axial design load of 1280 kNand a moment of 62.5 kN-m about x-axis. Characteristic strength of concrete (fcu) is 30N/mm2, and Characteristic strength of reinforcement steel (fy) is 460 N/mm2. Assumecover to all reinforcement is 35 mm. Assume longitudinal reinforcement bar diameter is 20mm, and diameter for links 8 mm.