The beam is fabricated using a mild steel which is assumed to be elastic-perfectly plastic. The beam is subjected to distributed load and cross section as shown in the figure. Consider yield stress σy= 175 MPa. Determine the maximum intensity of the distributed load that can be applied to the beam when the first yielding will occur. Determine the maximum intensity of the distributed load that can be applied to the beam when Top and bottom flanges have just become fully plastic

The beam is fabricated using a mild steel which is assumed to be elastic-perfectly plastic. The beam is subjected to distributed load and cross section as shown in the figure. Consider yield stress σy= 175 MPa. Determine the maximum intensity of the distributed load that can be applied to the beam when the first yielding will occur. Determine the maximum intensity of the distributed load that can be applied to the beam when Top and bottom flanges have just become fully plastic

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.6.1P: A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned...

See similar textbooks

Similar questions

Internal loadings at a critical section along a steel drive shaft are given. If the yield stress under tension and shear are S_y = 800 MPa, respectively, determine the maximum length of the shaft using the maximum-shear-stress theory (Tresca yield theory) in a way that the shaft does not fail neither at A nor at B
– The weight is suspended from structural A–36 steel alloy and 2014-T6 aluminum alloy wires, eachhaving the same initial length of 10 ft and cross-sectional area of 7×10–3 in2 (Figure Q1). If the weight is increasedgradually, determine which wire yields first? Explain which material model and yield criterion you will use? Justifyyour choices
A loading condition of a curved beam is shown below. It is made from a steel with a yield strength (Sy) of 400 MPa. a) Determine the critical location. b) If the safety factor against yielding (n) at the critical location is 2.5, using maximum shear stress theory or distortion energy theory, determine the allowable load P.
Please help me for the correct solution. A leaf spring carries a central load of 3000 N. The leaf spring has to be made of 10 steel plates 5cm wide and 6mm thick. If the bending stress is limited to 150 N/mm² determine: (i) Length of the spring and (ii) Deflection at the centre of the spring. Take E = 2 * 10 ^ 5 * N / m * m ^ 2..?
(1a) A simply supported beam of hollow circular section of external diameter 200mm, and internal diameter 150mm has a span of 6m. It is subjected to concentrated load of 50kN and Udl of 5kN/m over the entire span. Determine the maximum slope at the support and maximum deflection at centre. Take E = 2 x 105N/mm2 (1b)Explain the following terminology: The strain Stress Young modulus in the column. Rigid Prop
If the beam has a rectangular cross-section, then the shear-stress distribution will be parabolic. True or False?
A cold drawn steel rod of circular cross-section is subjected to a variable bending moment of 565 Nm to 1130 N-m as the axial load varies from 4500 N to 13 500 N. The maximum bending momentoccurs at the same instant that the axial load is maximum. Determine the required diameter of the rodfor a factor of safety 2. Neglect any stress concentration and column effect. Assume the followingvalues:Ultimate strength = 550 MPaYield strength = 470 MPaSize factor = 0.85Surface finish factor = 0.89Correction factors = 1.0 for bending= 0.7 for axial load
A W18x71 A36 steel beam is loaded as shown on the figure. Neglect the weight of the beam. a. Determine the vertical shear stress of the beam.
Two vertical steel wires each 1.5mm diameter and 1.2m long support a light rod over a span of 0.3m. A concentrated load of 250N is then applied vertically downwards at a point 0.1m from one of the wires. Determine the load, stress and extension on each wire and the angular displacement of the rod from the horizontal assuming it does not bend. Use E=200 GPa (Complete Solution)
Calculate maximum compressive strain on circular beam with an outside diameter of 80mm and wall thickness of 12mm when it is loaded in bending as shown in Figure Q10. (E=65 GPa)a) 5158 micro-strain b) 355.45micro-strain c) 17127 micro-strain d) 62271micro-strain
A simply supported beam is subjected to alinearly varying distributed load q(x) =(x/L)q0 withmaximum intensity q0 at B. The beam has a lengthL = 4 m and rectangular cross section with a widthof 200 mm and height of 300 mm. Determine themaximum permissible value for the maximum intensity,q0, if the allowable normal stresses in tension andcompression are 120 MPa.
A thrust collar that rests on a 0.75 in thick polymer plate supports the vertical nylon shaft shown below. The shaft has a diameter d = 0.50 in. The load acting acting on the shaft is P = 600lb. A) The ultimate shear strength of the nylon shaft is 2700 psi, and a factor of safety of 2.5 with respect to shear is required. Determine the minimum thickness t required for the thrust collar B) The ultimate bearing strength of the polymer plate is 2000 psi, and a factor of safety of 3.0 with respect to bearing is required. Determine the minimum outer diameter Dcollar required for the thrust collar.