(Note: @, does not include beam weight) PL = 10 kips %3D Wp = 2 kip/ft O = 4 kip/ft %3D 3 # 11 bars (A) 2 in. 12 ft 30 in. 28 in. f = 5,000 psi; f,= 60,000 psi Unit weight of concrete = 150 lb/cu.ft. 12 in. Determine the deflection at the free end (A) of the cantilever concrete beam due to Dead Load plus Live Load

(Note: @, does not include beam weight) PL = 10 kips %3D Wp = 2 kip/ft O = 4 kip/ft %3D 3 # 11 bars (A) 2 in. 12 ft 30 in. 28 in. f = 5,000 psi; f,= 60,000 psi Unit weight of concrete = 150 lb/cu.ft. 12 in. Determine the deflection at the free end (A) of the cantilever concrete beam due to Dead Load plus Live Load

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.
35 Determine the tensile steel strain (in 5 decimal places) compatible with concrete strain of 0.003 for a singly reinforced beam 300 mm wide, 600 mm deep reinforced at the bottom with 6-ϕ20 mm bars with effective depth 518 mm. Use f’c = 21 MPa and fy = 420 MPa.
The steel rod is stress-free before the axial loads P1 1⁄4 150 kN and P2 1⁄4 90 kN are applied to the rod. Assuming that the walls are rigid, calculate the axial force in each segment after the loads are applied. Use E 1⁄4 200 GPa.
4. A reinforced concrete T-beam has the following properties: Flange width, bf = 1,350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f’c = 21 MPa Steel strength, fy = 415 MPa a. If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage. = ____ mm (2 decimal places) b. What is the condition of failure? = ____ (Balanced, Tension controlled, Compression controlled, Transition) c. Calculate the design moment strength of a typical interior beam. = ____ kN⋅m (whole number)
A rectangular concrete beam has a width of 400 mm and an effective depth of 700 mm. It is reinforced with five 28-mm diameter bars for tension only. Concrete strength is f's = 21 MPa and steel yield strength is fy = 275 MPa. Which of the following most nearly gives the depth of the rectangular compression stress block? A. 188.15 mm B. 151.93 mm C. 139.51 mm D. 118.58 mm
NOTE!! ONLY ANSWER D, E, AND F. THANK YOU. A section of a gravity masonry dam is shown in the figure water is flush at the top of the dam upstream and 5m from the ground downstream. Assume hydrostatic uplift to vary uniformly from full hydrostatic pressure from the heel to zero at the drain density of water is 1000kg/m^3. The specific gravity of concrete is 2.4. Determine: a. The location of the resultant force b. Factor of safety against sliding if coefficient of friction is 0.75 c. Factor of safety against overturning d. Stress at the heel and the toe e. Unit horizontal shearing stress at the base f. Factor of safety against overturning neglecting uplift NOTEEE!!! (Only answer D, E, and F)
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.
1. A simply supported beam 300 mm wide, 500 mm deep and spans 5.7 m supports a service super imposed dead load of 9 kN/m and service live load of 9 kN/m. Concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa. Concrete cover to bar centroid is 70 mm. Determine the depth of equivalent rectangular stress block (mm) at ultimate stage. Write your answer in 2 decimal places only. 2. A simply supported beam 300 mm wide, 500 mm deep and spans 5 m supports a service super imposed dead load of 7 kN/m and service live load of 6 kN/m. Concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa. Concrete cover to bar centroid is 70 mm. Determine the required amount of tensile reinforcement in mm^2 as per provisions of NSCP 2015. Write your final answer to the nearest whole number.
A rectangular beam has a width of 330 mm and an effective depth to the centroid of the tension reinforcement of 432.5 mm. The tension reinforcement furnished is 7- 28 mm dia. bars and that for compression reinforcement is 4- 22 mm dia. bars placed 62.5 mm from the compression face of the beam. fy = 410.3 MPa and f'c = 35.9 MPa. Answer the following: (1) Determine the depth of the compression block. (2) Determine the design strength using 0.90 as the reduction factor. (3) Determine the concentrated live loads at the midspan in addition to the dead load of 19.7kN/m including the weight of the beam if it has a span of 9 m.
5) A square footing 2.2 m x 0.31 m thick supports a 300 mm square column at its center. Column loads are service conditions: DL = 331 kN LL = 251 kN f’c = 21 MPa fy = 415 MPa Concrete cover to the centroid of steel reinforcement = 100 mm Calculate the maximum ultimate bending moment in the slab. Write your final answer as whole number with the unit of kN-m.
A reinforced concrete T-beam has the following properties: Flange width, bf = 1,350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f’c = 21 MPa Steel strength, fy = 415 MPa 10. If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage. = mm (2 decimal places) 11. What is the condition of failure? = (Balanced, Tension controlled, Compression controlled, Transition) 12. Calculate the design moment strength of a typical interior beam. = kN⋅m (whole number)