Figure Q3 (a) shows an overhanging beam ABC subjected to a uniformly distributed load w along AB and the beam cross-section is shown in Figure Q3 (b). The yield stress of the material is 250 MPa and the material behaves linearly elastic-perfectly plastic.  a) Sketch the bending moment diagram of the beam.  b) Calculate the magnitude of moment that causes a plastic hinge (fully plastic) in the cross section.  c) Find the magnitude of w during plastic hinge at the most critical point.  d) Sketch a possible bending stress distribution across the beam's cross section when the flange has just fully yielded under partial plasticity (elastic-plastic) condition.

Q: A rectangular tube has an outside width of 100 mm, an outside depth of 150 mm, and a wall thickness…

A: σ=MyII=BH312-bh312=100×150312-80×130312=13478333.33mm4M=1.4k-m

Q: 14. For a linear elastic material with Young's modulus E=20 MPa: a) Calculate the amount of…

A: a} E=σεE=20×106 Paσ=6×103 Paε=σE=6×10320×106  =3×10-4=0.0003 b}

Q: A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (see…

A: Given, r = 141 mm t = 6.5 mm p = 7.25 MPa T = 810 Nm

Q: A solid circular steel shaft of 50 mm diameter, fixed at one end, is subjected to torques as shown…

A: Given data, For solid circular shaft Diameter=50 mm The shearing modulus of material = 80 GPa

Q: Theory of Failure Question 1: The uniaxial yield stress of a material is 866 MPa. According to von…

A: Yield stress- σy=866  MPa, It is needed to find the shear yield stress as per the Von-mises…

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.