Questions: Where it get the 300 here, the green circle. please explain how it get it 1₂b=300'Sg=crbh³12-Transformed section300(600) ³12filgY₁d=530|+-=5400x106mm²2.832 (5400)10°300nAsX= 50.97x106 N.mm=Mr = 50.97 kN.mcr530-xn =A,x²b=E 200000Ec200002=-4T(25)²4==10= 1963.2mm ²2nA (d - x) A concrete beam 6 m long is 300 mm wide and 600 mm deep andcarries a dead load of 9 kN/m and live load of 12 kN/m. The beamis reinforced for tension only with four 25 mm bars with an effectivedepth to tension bars of 530 mm. fc' = 20.7 MPa, fy = 345 MPa,fr = 2.832 MPa, Ec = 20,000 MPa, Es = 200,000 MPa.Covering of bars is 70 mm.a) Calculate the maximum instantaneous deflection due to dead loadand live load.b) Calculate the deflection due to the same loads after five yearsassuming that 30% of the live load is sustained.

Consider the given formula.Here, is equal to half of the total depth of the beam.

Answered: Where it get the 300 here, the green…

Engineering

Civil Engineering

Where it get the 300 here, the green circle

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A rectangular beam of length 702mm has a width of 132mm and a depth of301mm. Compression steel bars are placed at a distance 98 mm from the extreme concrete compressivefiber. The beam supports service dead loads of dead load (16 KN/m) and live load (24 KN/m). Reinforced with 4 25mm tension steel bars and 4 12mm tension steel bars f′c = 42 MPafy = 519 MPa 1. Solve for the height of the neutral axis measured from the extreme compression fiber.2. Solve for the design moment.3. Solve for the strength reduction factor.
A doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2263 sq. mm at the bottom, and 1232 sq. mm on the top. Take d' = 70 mm, fc' = 21 MPa, and fy = 345 MPa. determine 1.) a 2.) the value of fs' (actual stress of the compression bars) 3.) value of ρbalance 4.) Mu
The cantilever beam above is made up of concrete with E = 70 MPa, refer to the table below for the properties and loads for the beam: Given: b(mm) = 250 h(mm) = 400 w(kN/m) = 15 Mb(kN-m) = 45 Using area moment method, determine the following: 1. Vertical reaction at A, RA. 2. Moment reaction at A, MA. 3. Flexural rigidity of the beam in N-mm^2 4. Rotation at B, in degrees. 5. Rotation at C. in degrees. 6. Deflection at B in mm. 7. Maximum deflection of the beam in mm. 8. If a concentrated load will be placed at B to remove the deflection at C, determine the magnitude of this load in kN.
A prismatic beam having 250 mm x 500 m is reinforced for flexure at the bottom with 4-416 mm with an effective depth of 420 m. It is simply supported over a span of 6 m and designed to support uniformly distributed load over the entire span. Concrete weighs 24 kn/m3, Concrete strength f'c= 24 MPa and rebar strength fy=280 MPa. 1. Determine the resulting depth of the uniform rectangular stress block in a when the bean section reaches tlimate stage. (A to D) 2. Determine the nomina moment strength in kN/m of the beam section as per NSCP 2015. ( E to H) 3. Determine the factored uniform load in kN/m the beam can sustain in addition to its factored self weight. (I to L) A 44.15 B. 78 85 c. 57.34 D, 98.56 E. 195.66 F. 89.60 G.133.91 H. 110.15 I 16.31 J. 39.16 K. 26.16 L. 20.51
A rectangular concrete beam 278 mm wide and 471 mm deep is simply supported over a span of 11.39 m. the beam is reinforced with straight tendons situated 53 mm above the bottom of the beam under a prestressing force of 537 kN. The beam is carrying a concentrated load 87 kN at midspan, a live load of 15.36 kN/m3 and a dead load of 24.91 kN/m3 excluding its own weight. Concrete weighs 19.82 kN/m3 with modulus of elasticity Ec=20,358.51 MPa. Assuming tension concrete does not crack, what is the midspan deflection due to the given loads. (Include the sign if it is negative) Please avoid rounding off values during the course of solution proper as much as possible. Always write your answer in 4 decimal places
A rectangular concrete beam 297 mm wide and 465 mm deep is simply supported over a span of 9.42 m. the beam is reinforced with straight tendons situated 59 mm above the bottom of the beam under a prestressing force of 558 kN. The beam is carrying a concentrated load 52 kN at midspan, a live load of 15.67 kN/m³ and a dead load of 20.29 kN/m³ excluding its own weight. Concrete weighs 21.58 kN/m³ with modulus of elasticity Ec=15.281.97 MPa. Assuming tension concrete does not crack. what is the midspan deflection due to the given loads. (Include the sign if it is negative) Note: Avoid rounding off values in the course of solution proper as much as possible. ROUND OFF ONLY AT THE FINAL ANSWER.
A floor slab 100 mm thick is cast monolithically with beams 300 mm wide 500 mm deep spaced 2 m on centers, on simple supports over a span of 6.0 m. The floor supports a superimposed service dead load of 1.77 kPa and service live load of 4.8 kPa. Using f’c = 21 MPa, long bar fy = 415 MPa, calculate: Using a T-beam geometry, determine the required amount of flexure bars for maximum ultimate bending. = [As] sq.mm (whole number)
A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L, = 2.3 m, width b, and height h = 3b/2. The dimensions of the balcony floor are L, x L2, with La = 2.7 m. The design load is 6.5 kPa acting over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.5 kN/m^3 --) The allowable bending stress in the cantilevers is 45 MPa (a) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension b. Round to the nearest whole number. mm (b) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension h. Round to the nearest whole number. h = mm
A prismatic beam having 250 mm x 500 mm is reinforced for flexure at the bottom with 4-ϕ20 mm with an effective depth of 420 mm. It is simply supported over a span of 6 m and designed to support uniformly distributed load over the entire span. Concrete weighs 24 kN/m3, Concrete strength f’c = 21 MPa and rebar strength fy = 280 MPa. 1. Determine the resulting depth of the uniform rectangular stress block in mm when the beam section reaches utlimate stage. (A to D) 2. Determine the nomina moment strength in kN/m of the beam section as per NSCP 2015. (E to H) 3. Determine the factored uniform load in kN/m the beam can sustain in addition to its factored self weight. (I to L) Correct Answers: B. 78.85 G. 133.91 K. 26.16
A reinforced concrete column 500mm square in section is reinforced with four steel bars of 25mm diameter, one in each corner. The column is to carry load of 1000kN. Calculate the stresses in the concrete and steel bars. E steel=219X109N/m2 and E concrete =14X109N/m2
A prismatic beam having 250 mm x 500 mm is reinforced for flexure at the bottom with 4-ϕ16 mm with an effective depth of 420 mm. It is simply supported over a span of 6 m and designed to support uniformly distributed load over the entire span. Concrete weighs 24 kN/m3, Concrete strength f’c = 24 MPa and rebar strength fy = 280 MPa. Determine the resulting depth of the uniform rectangular stress block in mm when the beam section reaches utlimate stage. (A to D) Determine the nomina moment strength in kN/m of the beam section as per NSCP 2015. (E to H) Determine the factored uniform load in kN/m the beam can sustain in addition to its factored self weight. (I to L) A. 44.15 B. 78.85 C. 57.34 D. 98.56 E. 195.66 F. 89.60 G. 133.91 H. 110.15 I. 16.31 J. 39.16 K. 26.16 L. 20.51
A doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2263 sq. mm at the bottom, and 1232 sq. mm on the top. Take d' = 70 mm, fc' = 21 MPa, and fy = 345 MPa. b) What is the value of fs' (actual stress of the compression bars)