A continuous beam have two spans of 4 m each.The first span carries an ultimate concentratedload of 50 kN and on the second span, it carriesan ultimate uniform load of 30 kN/m.If Fy = 248 MPa,a. Determine the plastic moment capacity of thefirst span.b. Determine the plastic moment capacity of thesecond span.c. Determine the plastic moment capacity of thebeam.

###Determination of Plastic moment capacity ###

Answered: a. Determine the plastic moment…

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 bridge girder AB on a simple span of length L = 30 m supports a distributed load of maximum intensity q at mid-span and minimum intensity q/2 at supports A and B that indudes the weight of the girder (see figure). 450 mm 32 mm B 30 m 16 mm- 1800 mm 32 mm 450 mm The girder is constructed of three plates welded to form the cross section shown. Determine the maximum permissible load q (in kN/m) based upon the following. (a) solely based on an allowable bending stress aallow = 110 MPa kN/m (b) solely based on an allowable shear stress tallow = 50 MPa kN/m (c) accounting for both an allowable bending stress ollow and an allowable shear stress Tallow kN/m
A beam is subjected to equal bending moments of M, = 4300 N-m. The cross-sectional dimensions are b = 140 mm, c = 35 mm, d = 68 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M2 H d (tур) K Answer: (a) y= i mm Iz = i mm4 S= i mm3 (b) ƠH MPa (c) OK = i MPa (d) Omax i MPa
Determine the reactions for the beam shown if the vertical deflection at support B is zero. 3.0 kip/ft O B 16' 8' SIMPLE BEAM: CONCENTRATED LOAD AT ANY POINT SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD Pb R = V, (max when a b) R V, . Pab w V M max (at point of load). M max (at center) Pbx Shear M, (when x b) = Pab(a + 2bN3a(a + 2b) M max Amax (at center), 27EI Pah2 384EI M max Moment A, (at point of load) 3EII WX (3 – 21r2 + x³) Pbx (2 - b2 - x) 4, 24EI 4, (when x

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a. Determine the plastic moment capacity of the first span. b. Determine the plastic moment capacity of the second span. c. Determine the plastic moment capacity of the beam.