A reinforced concrete beam has a width of 300 mm and an effective depth of 500 mm with the centroid of tension and compression bars located 70 mm from the bottom of the beam. The compression and tension reinforcements of the beam are 4-20mm∅ and 8-25mm∅ . Use fy =345 MPa and fc'= 30 MPa.   Which of the ff. nearly gives the depth of compression block in mm. a. 167.14 b.135.67 c. 126.85 d. 144.87 e. 189.52 Which of the ff. most nearly gives the compressive force of the compression steel in kN. a. 389 b. 400 c. 415 d. 434 e. 455 Which of the ff. gives the ultimate moment capacity of the beam. a. 486 b. 498 c. 512 d. 521 e. 536

Problem # 2. A reinforced concrete beam has a width of 300 mm with an effective depth of 575 mm. It is reinforced with 3-32 mm dia. at the bottom. fc'=27.6 MPa, fy = 414 MPa. Balanced steel ratio p = 0.0285. a. Determine the depth of compression block. b. Determine the moment capacity using reduction factor of 0.90. c. Determine the super-imposed uniform live load it could carry in kPa, besides a dead load of 20 kN/m including its own weight if it has a simple span of 6 m. and a spacing of 1.8 m.

2. The height of the limit 5, relative to the compression zone needs to be calculated according to the assumption of

Calculate its nominal moment strength (M.) of the section. 18 in. 24 in. • Compressive strength of concrete f.'= 4 ksi • Yield strength of steel rebar f, = 60 ksi • Modulus of elasticity for steel E, = 29,000 ksi • Modulus of elasticity for concrete E. = 57,000, f psi • Rupture modulus of concrete f, = 7.5/f psi 2 #8 6 in. %3D 10 in. -10 in.

A reinforced concrete beam has a total depth of 700mm. Use f'c =34 Mpa and fy=415 Mpa. The diameter of the rebar us 28mm and the concrete cover is 60mm. A.What is the depth of the compression block? (mm) B.What is the toal compressive force resisted by the concrete? (kN) C.what is the nominal moment capacity? (kN.m)

A rectangular doubly-reinforced beam 450 mm wide and reinforced by 5-32mm diameter bars for tension and 3-28 mm diameter bars for compression and has the following properties: (NSCP 2010) d = 650 mm d’ = 70 mm f’c = 20.7 MPa fy = 344.80 MPa a. Find the depth of compression block. b. Find the ultimate moment capacity of the beam.

A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume Lag 3 ft. Lac-9 - P-2050 lb, w-1200 lb/ft, b-12 in. d-5 in., t-0.875 in. Consider the entire 12-ft length of the beam and determine Determine the maximum compression bending stress at any location along the beam Answer in ksi rounded-off to 2 decimal places. Report the answers here using the correct signs. A LAB Add your answer B Luc Mort Last N

Concrete T-beam has been reinforced by bonding a steel plate to its web asshown below. The beam carries a uniformly distributed load of 40kN/m over a simply supported 8m span. Find the maximum deflection of the beam on the assumption that the concrete is fully operative in both tension and compression.(Est = 200kN/mm^2. Econc = 30kN/mm^2; central deflection due uniformly distributed load, total W acting on a simply supported beam of span L= 5WL^3/(384EI)) can someone please answer this question in detail who is confident in this topic with step-by-step calculations & sketch pls. I've asked this question twice now and I've gotten different answers each time so I'm at a bit of a loss. (DONT respond to this if you have already responded previously) Thank you

A rectangular concrete beam measures 12 in. wide and has an effective depth of 18 in. Compression steel consisting of two No. 8 (No. 25) bars is located 2.5 in. from the compression face of the beam. If f. 60,000 psi, what is the design moment capacity of the beam, according to the ACI Code, for the following alternative tensile steel areas? (a) A, = three No. 10 (No. 32) bars in one layer, (b) A, = four No. 10 (No. 32) bars in two layers, (c) A, = six No. 9 (No. 29) bars in two layers. (Note: Check for yielding of com- pression steel in each case.) Plot M, versus p and comment on your findings. = 4000 psi and f, = %3D

For the given one bay- one story frame; wn=0.5 s, E=30000 MPa, I=3*107 mm4, S= I/c=2.5*105 mm3. Determine u0, the maximum dynamic deformation and maximum bending stress in the column. Neglect damping.