1. An A992 simply supported W18X97 beam is subjected to an axial compressive load which consists of a service dead load of 46 kN and service live load of 92KN. A 150KN/m factored uniform load is also applied on the beam. Bending is about the x-axis. The beam has a span of 6m. The beam is laterally supported only at both ends (L, = 2.85m, L, = 7.07m). Consider moment amplification and C. = 1.14. Determine the following: Design compressive strength • Design flexural strength about x-axis Moment amplification factor B, Beam-column interaction ratio

1. An A992 simply supported W18X97 beam is subjected to an axial compressive load which consists of a service dead load of 46 kN and service live load of 92KN. A 150KN/m factored uniform load is also applied on the beam. Bending is about the x-axis. The beam has a span of 6m. The beam is laterally supported only at both ends (L, = 2.85m, L, = 7.07m). Consider moment amplification and C. = 1.14. Determine the following: Design compressive strength • Design flexural strength about x-axis Moment amplification factor B, Beam-column interaction ratio

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

For ABC beam with elasticity module E, inertia I; a) Find the reaction forces at point a b) Find the reaction forces at point b
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
The beam has a simple span of 4 meters and carries a super-imposed load of 25 kN/m, what additional load may be placed at the center of the span if the deflection due to this load is not to exceed 1/800 of the span. Use fc = 9MPA, fs = 124 MPa, n = 10, shear stress (fv = 2MPa), and Ec = 20700 MPa 200 mm 200 ma 60 (2n-1) As 20 mm e x-60 450 mm 330 390-x .32 mm e nAs 60
Beam PQRS has internal hinges in spans PQ and RS as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity 4 kN/m of any length anywhere on the beam. The maximum absolute value of the shear force (in kN) that can occur due to this loading just to the right of support Q shall be: B E F 1 m 2 m 0.5 m 0.5 m 0.5 m
The simply supported beam consists of a W21 x 44 structural steel wide-flange shape [E = 29,000 ksi; 1-843 in.4]. Assume that the support at D can provide resistance either up or down. For a loading of w=4.5 kips/ft, determine: (a) the beam deflection VA at point A (b) the beam deflection vc at point C. Assume LAB 10 ft, Lac-6 ft, Lcp 6 ft. Loe-7 ft. Answers: (a) VA= (b) vc= LAB B 651.06 390.3 Lac D LCD in. in. LDE E
A composite beam system is composed of steel sections on which a reinforced concrete slab system has been attached. The 150 mm thick slab is concrete span lengths of 13 m and spacing of 3.5 m. The exterior beam has an edge with fc' = 28 MPa. The two-span beams with fixed exterior supports have distance of 0.85 m. The 20mm Grade 40 rebars in the negative moment regions are spaced center-to-center at 140 mm. The steel beams are A-50 W27x102. Full composite action is assumed.
A portal frame P Q R as shown in figure has a fixed support at P and free end at R. A point load of 3 kN is acting at mid point of span QR. The flexural rigidity of each member is 104 kNm². Under the applied load, the vertical displacement would be 3 kN Q2m + A 4m 2m -R
need very fast
Determine the positive nominal flexural strength Mn of the T-beam in the figure below. Assume fc′ = 21MPa and fy = 420MPa Determine the effective width of the flange if the clear spacing of the beams is 2m while the clear span length of the beam is 3m. Determine the Nominal Moment Capacity of the beam considering that the diameter of stirrup is 10mm and the concrete cover is at 40mm.
Situation 4: A W530 x 92 simply supported beam has a length of 12 m. The beam supports a super imposed dead load of 12 kN/m and equal concentrated load of "P" at quarter points. The compression flange is laterally supported at point loads and the reactions. Use A 36 steel Fy = 250 MPa Properties of W 530 x 92 A 11800 mm² d = 533 mm bf = 209 mm tf = 15.6 mm tw = 10.2 mm rts 54.6 mm ry = 45.0 mm kdes 28.4 mm Sx = 2080 x 10³ mm³ Zx 2360 x 10³ mm³ J= 762 x 10³ mm³ Cw=1600 x 10⁹ mm 1. What is the maximum laterally unbraced length at which the nominal moment capacity maybe taken at FyZx?) 2. What is the allowable moment? use Cb = 1.4911 3. What is the allowable load "P" so that it will not exceed its allowable stress design ( 4. What is the allowable load P so that it will not exceed the allowable shearing stress? 5. What is the allowable moment if the beam is laterally support at supports only? Use 1.4911
If M₂-465 kip-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume a - 10 in. b-14 in. d - 32 in. r-5 in. The centroid of the cross section is located 14.72 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 34310 in.4. M₂ M₂ H b Answer: OH- 44 psi
4. A 10 m span simply supported beam carries a uniform load. The beam has an adequate lateral support. ALLOWABLE STRESSES: Bending: 12.65 MPa Deflection: 1/240 of span E: 13000 MPa a. Compute the depth of the beam so that when the allowable stresses of 12.65 MPa is reached, The deflection of the beam is 1/240 of the span. b. If the width of the beam is 300mm, how much total uniform load can it simply support? c. Compute the shearing stress of the beam using the uniform load in letter b. W (kN) lom 12 R