6.6 A beam ABCD, 6 m long, is simply-supported at the right-hand end D and at a pointB1 m from the left-hand end A. It carries a vertical load of 10 kN at A, a secondconcentrated load of 20 kN at C, 3 m from D, and a uniformly distributed load of 10kN/m between C and D. Determine the position and magnitude of the maximumdeflection if E = 208 GN/m² and I = 35 × 10-6 m². [3.553 m from A, 11.95 mm]

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Answered: 6.6 A beam ABCD, 6 m long, is…

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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6 kN/m +x 18 kN-m A В D 3.0 m- - 3.0 m 4.0 m- An l-section Beam ABCD is pin supported at points B and D and has an overhanging segment (segment AB). The beam is loaded with a clockwise moment load at D and a uniformly distributed load on segment AB. The l-section has an l=24.4x10° mm and a modulus of elasticity equal to E=200GPA. For the given beam and loading conditions, determine the following: a. The magnitude of the maximum deflection along segment BD b. The magnitude of the deflection at point A
6 kN/m +x 18 kN-m В C D 3.0 m- 3.0 m 4.0 m- An l-section Beam ABCD is pin supported at points B and D and has an overhanging segment (segment AB). The beam is loaded with a clockwise moment load at D and a uniformly distributed load on segment AB. The I-section has an l=24.4x10° mm' and a modulus of elasticity equal to E=200GPa. For the given beam and loading conditions, determine the following: a. The magnitude of the maximum deflection along segment BD b. The magnitude of the deflection at point A
A cast-iron beam 10-m long and supported, carries a uniformly distributed load of intensity W. (including its own weight). If the inverted T will be put into its upright position (now it will be T-Section Cast-iron Beam) and the allowable stresses are fit s 20 MPa and fbe 5 80 MPa. Determine the maximum safe value of w. (kN/m) if x = 1.0 m. 10 m 180 mm We N.A. 50 mm R. Ra INA = 36 x 106 mm
2 A cover-plated beam is made up of a W21 x 147 section with 300 mm x 12 mm plates attached to the top and bottom flanges and is fastened by two rows of 20 mm rivets. The beam is simply supported over a span of 6 m and carries a uniformly distributed load of 270 kN/m including its own weight. The shear capacity of each rivet is 30 kN. Properties of W21x147: Overall depth, d = 560 mm Moment of inertia, 1 = 0.00151 m² ts Calculate the distance from the centroid of the cover plate to the neutral axis of the built up section? Select the correct response: S 286 mm 292 mm 288 mm 290 mm S
A truck and trailer combination with the axle loads shown in the figure rolls across the simply supported 12 m span. Validate the position of the resultant R from the 15 kN load. Compute the (a) maximum bending moment (b) maximum shear force FEE 15 kN 125 kN IR 90 kN |50 kN 3 m -2 m B -3m -6 m R 12 m 1R2
A T-beam has a flange width of 500mm and a thickness of 100mm. It has an effective depth of 550mm and the width of the web section is 300mm. It is reinforced at the bottom with a steel area of 2800mm2. fc’ = 21MPa, fy = 350MPa. if the dead load is 18kN/m including its own weight acting along its entire length of 5m, the concentrated live load that it can carry acting at L/2 from the support is ____kN.
he beam in the figure below is to be loaded with 20kN single axle load, a uniformly istributed live load of 25 kN/m, and a uniformly distributed dead load of 10 kN/m. onsidering the loads, determine the maximum positive shear at B. DL = 10 kN/m LL = 25 kN/m 20KN A B 5m 4 m 6 m 15m D.
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Problem 13.2: For the beam shown in the figure below, determine the maximum bending stress. Misan Univers F4 i. of in. 14.0 kN 1.5 kN/m in.-- 3 in. 송 In. -1.0 m-1.0 m 2.0m 2 in.
3.14 A beam ABCD, 6 m long, is simply supported at the right-hand end D and at a point B 1 m from the left-hand end A. It carries a vertical load of 10 kN at A, a second concentrated load of 20 kN at C, 3 m from D, and a uniformly distributed load of 10 kN/m between C and D. Determine: (a) The values of the reactions at B and D. (b) The position and magnitude of the maximum bending moment.
2.) Determine the design positive and negative moments of the beam shown. The dead and live load are 24.3 kN/m and 11.2 kN/m respectively. 7.5m 0.5m
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