A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includesthe weight of the beam. There is no lateral support other than that at the fixed end.258.83P}22.10w = 22 kN/mK 38.1d= 269.241.5 m.(K = 38.1122.103 m.Properties of W 10 x 77A = 14581 mm2Lp = 2.799 md = 269.24 mmL, = 13.811 mbf = 258.83 mmLp = 3 m%3Dtf = 22.10 mmFy = 345 MPatw = 13.46 mmK = 38.10 mmSx = 1408 x 103 mm3E 3 200,000 MРаZx = 1599 x 103 mm3a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD.b. Determine the value if the service load P due to the max. shear strength of the beam using ASD.c. Determine the value of the service load P due to the flexural strength of the beam using LRFD.d. Determine the value of the service load P due to the allowable bending strength of the beam usingASD.

Answered: Image /qna-images/answer/c8c7a432-e085-46de-996e-268e143fdbe6.jpg

A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. 258.83 }22.10 w = 22 kN/m K= 38.1 d = 269.24 1.5 m. (K = 38.1 | 22.10 3 m. Properties of W 10 x 77 A = 14581 mm2 Lp = 2.799 m d = 269.24 mm L, = 13.811 m bf = 258.83 mm Lp = 3 m %3D tf = 22.10 mm Fy = 345 MPa tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm3 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using ASD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using

A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. 258.83 }22.10 w = 22 kN/m K= 38.1 d = 269.24 1.5 m. (K = 38.1 | 22.10 3 m. Properties of W 10 x 77 A = 14581 mm2 Lp = 2.799 m d = 269.24 mm L, = 13.811 m bf = 258.83 mm Lp = 3 m %3D tf = 22.10 mm Fy = 345 MPa tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm3 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using ASD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using

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 concentrated load P is acting at the center of the beam having a simple span of 9m. the beam is made up of wide flange with a yield strength of 345 Mpa.the beam has a lateral supports with spacing of 3m. neglect the weight of the beam. Properties of wide flange: d=350mm tw=12mm bf=360mm X=2340 x 10^3 mm^3 tf=18mm what is the minimum unbraced length of the beam to consider it as laterally supported beam
No. 3. Beam AC carries a concentrated load P at its midspan point B. Determine the depth of the beam h in mm if the maximum bending stress is Omax = 50 MPa, the maximum deflection 8max = 10mm, the span is L = 4m, and the modulus of elasticity is E = 200 GPa. L/2 L/2- B 4+ 18. max
PROBLEM 2: A simply supported beam carries a concentrated load at mid-span. Neglecting the weight of the beam, this load produces an ultimate design positive moment of 300KN-m. The beam is reinforced with 4D25mm deformed bars, with b=375mm, d=500mm, fy=415 MPa and fc' = 35MPA. а. Determine the theoretical cut-off point, measured from the support, of 50 % of the positive bars. b. If the transverse reinforcement is provided by 10mm diameter stirrups with 40mm concrete cover and maximum spacing of 200mm, what is the minimum development length required for the 25mm diameter rebars, using the basic equation?
Concentrated loads P area acting at the middle thirds of the beam having a span of 9- m. The beam is made up of a wide flange with a yield strength of 344.5 MPa and a modulus of elasticity of 200,000 MPa. The beam is laterally supported only every 3 m distance. Neglect the weight and deflection of the beam. bf = 368.8 mm d = 356.11 mm tf = 18.03 mm tw = 11.18 mm Sx = 2343 x 103 mm4 a) Which of the following gives the value of allowable bending stress. b) Which of the following gives the safe value of "P" in flexural stress control design.
The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces shown, determined. Replace the two forces and couple by an equivalent couple M and resultant R at A. The cou 1.89 kN 0.41 m 1.47 m- 77 10.13 m 10.13 m A 570 N-m -x- 8 1.07 kN Answers: M = kN-m R = j) kN
A cantilever beam AB with a circular crosssection and length L = 750 mm supports a loadP = 800 N acting at the free end (see figure). Thebeam is made of steel with an allowable bendingstress of 120 MPa.(a) Determine the required diameter dmin (figurepart a) of the beam, considering the effect of thebeam’s own weight.(b) Repeat part (a) if the beam is hollow with wallthickness t =d /8 (figure part b); compare thecross-sectional areas of the two designs.
The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [E = 200 GPa; 1=351 x 100 mm*]. Determine (a) the beam deflection at point A. (b) the beam deflection at point C. Assume P = 39 kN, w=61 kN/m, LAB 3.6 m, Lec-3.6 m, LCD 3.6 m, LDE = 1.8 m. Answer: VA= P Vc= B LAB LBC C mm mm LCD W D LDE E X
2/7 The two structural members, one of which is in ten- sion and the other in compression, exert the indi- cated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle e which R makes with the positive x-xis. 3 kN 2 kN 3. 30 Problem 2/7
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.“1. Assume that the support at D can provide resistance either up or down. For a loading of w = 7.2 kips/ft, determine: (a) the beam deflection Va at point A. (b) the beam deflection vc at point C. Assume LAB = 11 ft, Lec = 6 ft, LcD = 6 ft, LDE = 5 ft. В D E LAB LBC LCD LDE Answers: (a) VA = 0.9 in. (b) vc = 0.5| in.
Determine the force in kN of following member of the loaded truss. Indicate whether it is C (Compression) or T (Tension). 1. DE 2. CD 3. ВF 2 m |2 m E B 2 m 2 m 4. 500 kg 4 m
A w12x78 bridge crane runaway girder is on a simple span of 6 m. Assume that the crane wheel imparts a vertical load of 68 kN and a lateral load of 7 kN, applied at the top flange of the girder. A standard 0.4 kN/m rail will be used. Neglect shear and deflection.Properties of W21x78d=300mmIx=191.73×10^6mm4W= 1.21 kN/mbf= 200mmly = 35.07 x10^6mm4 Questions:Determine the Bending stress about the y - axis.
A beam cast monolithically with the slab thickness of 110 has a span of 4 m spaced at 6 m center to center. The width of the web is 300 mm and effective depth of 500 mm. It is reinforced on the tension side with 8-20 mm Φ rebars. Fc’ = 30 MPa fy = 310 MPa 1. Which gives the effective width of flange? a. 2000 mm b. 1500 mm c. 2500 mm d. 1000 mm 2. Which gives the depth of the compression stress block? a. 30.55 mm b. 32.56 mm c. 12.45 mm d. 42.14 mm