Question 4 The continuous beam shown in Figure has a plastic moment Ma. Sketch the possible...
Question 5 The unsymmetrical frame shown below in figure is having both bases pinned as shown. The beam has a plastic moment Mp. Sketch the possible mode of failure and determine the magnitude of the force P for plastic collapse of the frame. Use both Equilibrium and Energy methods. h2
Question 5 The unsymmetrical frame shown below in figure is having both bases pinned as shown. The beam has a plastic moment Mp. Sketch the possible mode of failure and...
The H-beam is made of an elastic-plastic material for which σy =
400 MPa. Find the plastic moment Mp and the maximum elastic moment
Me and determine the shape factor for the cross section of the
H-beam. Also, determine the residual stresses in the top and bottom
of the beam after the plastic moment MP is applied and then
released.
Question 4 a The H-beam is made of an elastic-plastic material for which oy 400 MPa. Find the plastic moment...
(a) The H-beam is made of an elastic-plastic material for which
σy = 400 MPa. Find the plastic moment Mp and the maximum elastic
moment Me and determine the shape factor for the cross section of
the H-beam. Also, determine the residual stresses in the top and
bottom of the beam after the plastic moment MP is applied and then
released.
(b) The continuous beam shown in Figure is made of the same
cross section as in part a and...
The plane frame in fig. 1 has columns of length h pinned at
the base. The beam is welded to the columns
and is of length 2l. Equal loads P are applied at the mid-span
of both the beam and the right column. Find
the collapse load PC
in terms of MP
,
where MP
is the plastic moment of the columns and beam.
l is 3 m and h is 5m.
The plane frame in fig. 1 has...
QUESTION A dree span continuous heam is shown in Figure 1. The bean has a constant cross section over all spens a showa ie Figure 2 and is subjected to the factored loading as shown a) Determine the required fially plastic moment capacity,M,for the beam, by examining the mechanisms asociated with the plastic collapse of the beam; beam cross-section depicted in Figure 2 the steel beam is 265 N/mm b) Delermine the value of tdhe plastie section modulus)about the -x...
4B and the beam cross-section is shown in Figure Q3 (b) The yield stress of the material is 250 MPs and the material behaves linearly elastic-perfectly plastic. Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along a) Sketch the bending moment dingram of the beam b) Calculate the magnitade of moment that causes a plastic hinge (fully plastic) in the cross section Find the magnitude of w during plastic hinge at the most...
A beam with cross-section as shown in Figure 2(a) is made of an
elasto-plastic material. The stressstrain relationship of the
material is as shown in Figure 2(b): (a) A bending moment is
applied to this section and increased until the entire top flange
yielded. Calculate the magnitude of the moment at this stage of
loading. (b) Determine the yield moment of the beam (c) Determine
the ultimate moment capacity of the beam (d) Determine the shape
factor of the beam...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
Problem-1 (15 points) A cantilever beam ACB supports a concentrated load P and a couple moment Mo, as shown in the figure below. (a) Determine the total strain energy of the beam, (b) Determine the deflections δ and δ8 at points C and B respectively. (c) Determine the angle of rotations 0 and θι, at points C and B respectively. Use the Castigliano's theorem(s). Assume that the beam's flexural rigidity is EI Mo
Problem-1 (15 points) A cantilever beam ACB...
n: Question 1 Use Moment Distribution method to determine the reactions of the continuous beam shown in Figure 1. Modulus of Elasticity, E, is constant and Moment of Inertia, l, is as shown. The reactions at B, D, E, F are rollers and at Cis a pin. Use five cycles in your solution. 2.1 . 2 kN/m SEN yer Shen 4KN A AC I 21 21 31 31 21 2m 4m 4m 8m 4m Ant 2m 2m Figures