A Universal beam of I shaped cross-section is 203 mm deep, and 133 mm wide and has a steel plate 150 mm by 10 mm thick fastened to each flange. Ix-x for the universal beam is 28.80×10^6 mm^4. a) Determine the total uniformity distributed load which may be carried over a simply supported span of 6 metres if the permissible bending stress is 165 N/mm^2. Neglect the self-weight of the beam. [Ans.: 124.02 KN/m] b) Determine the minimum central length over which the additional plates are required. [Ans.: 4.23m]

The rigid beam ABC is supported by a pin connection at C and by steel rod (1), which has a diameter of 7 mm.  If the normal stress in rod (1) must not exceed 215 MPa, what is the maximum uniformly distributed load w that may be applied to beam ABC?  What is the allowable force in road (1)? Use dimensions of a = 350 mm, b = 700 mm, and c = 525.0 mm.

2. A simple steel beam is to carry the concentrated loads as shown in the figure. (a) Drav the shear diagram, (b) determine the maximum moment, and (c) determine the wide-flange shape that should be used from the list shown if the allowable normal stress for the grade of steel to be used is 110 MPa 60 KN/m 60 KN/m A B 4 m 1m2 m Shape W310x129 S (cm') 1955 Shape W310x202 S (cm) 5049 3423 W310x143 2155 W310x226 W310x158 2565 W310x253 3853 W310x179 2675 W510x285 4311

A bridge girder AB on a simple span of length L = 25 m supports a distributed load of maximum intensity q at mid-span and minimum intensity g/2 at supports A and B that includes the weight of the girder (see figure). 450 mm 32 mm = 25 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 oallew = 110 MPa kN/m (b) solely based on an allowable shear stress Tllow = 50 MPa kN/m (c) accounting for both an allowable bending stress oallow and an allowable shear stress Tallow kN/m