Q4 (a) Figure Q4(a) shows the idealized stress-strain curve for steel and Figure Q4(b) shows the yielding of the beam section due to bending. Explain in detail the relation between these TWO (2) Figures based on your understanding of plastic analysis.
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- A steel column of length 6 m forms part of a support structure and is subjected toan axial compressive load ‘P’ as shown in Figure Q3(b). Both ends of the columnare fixed. The column has the ‘I’ cross-section also detailed in Figure Q3(b). TheYoung’s modulus (E) for the steel is 210 GN/m2.i) Determine the slenderness ratio for the column and show that Eulertheory is valid. ii) Calculate the critical buckling load using Euler theory. iii) Evaluate the safe working load for the column if a load factor of3 is required.A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN . m. The thickness of each steel face ist = 3 mm with modulus of elasticity Es = 200 GPa.The height of the plastic core is hp =140 mm, andits modulus of elasticity is Ep = 800 MPa. The overalldimensions of the beam are h =146 mm andb =175 mm.Using the transformed-section method, determinethe maximum tensile and compressive stressesin the faces and the core.A single-span beam having unsupported length of 8m. has a cross section of 200mm x 350mm. (use nominal dimension). It carries a uniformly distributed load “W” kN/m throughout its span. Allowable bending stress is Fb=9.6 MPa and a modulus of elasticity of 13800 MPa. From the table, the effective length Le=1.92 Lu where Lu=unsupported length of beam. a. Compute the allowable bending stress with the size factor adjustment in MPA b. Compute the allowable bending stress with lateral stability adjustment in MPa c. Compute the safe uniform load “W” that the beam could carry in KN/m. (choose the smallest of prob. a and b.) use M=wl^2 / 8
- A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. Find the following: A. The cross-sectional dimensions of the beam are also shown. B. determine the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. Express your answer in MPa rounded to the nearest tenths. C. determine the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths. D. determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. E. determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures.A stepped shaft is as in Figure 5-13. The AB part is aluminum (G = 28GPA) and the BC part is steel (G= 84GPA). The aluminum part has a solid circular section with a diameter of 45 mm and the steel part has a circular head section with an outer diameter of 60 mm and an inner diameter of 30 mm. Find the maximum shear stress in each material and the torsion angle at B at which the torsion moment of 4000 N.m is applied. A and C terminals are rigidly connected.A cast iron beam is of T-Section as shown in figure 5.1. The beam is simply supported on a span of 8m. The beam carries a uniformly distributed load of 1.5kN/m length on the entire span. a) Determine the maximum tensile and maximum comparative stress. please show working in details.
- A beam has a bending moment of 4 kN-m applied to a section with a hollow circular cross-section of external diameter 3.3 cm and internal diameter 2.3 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.8 cm from the neutral axis. (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.8 cm from the neutral axis isA cylindrical pin made of carbon steel is loaded with a maximum possible twisting moment Mv. Maximum allowedshear stress is τmax = 40 MPa. The pin has the diameter measurement d = 50 mm, and the length measurement L = 250 mm.Calculate the free end distortion θ in degrees. G=80 GPaThe safety stress for the steel bar shown in the figure is σallow= 160MPa. According to the greatest shear stress (Tresca) and Von Mises hypothesesa) Neglecting the cutting effectb) Taking into account the shear effectCheck whether this rod can carry the given load.
- A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure Q4(b). Given E = 200 GPa, A = 2285 mm2, r = 37.5 mm, and I = 3.33 x 10-6 m4: - 1. Calculate the allowable centric load for the column and the corresponding normal stress using Euler’s Formula by considering the factor of safety of 2.0. 2. Assuming that the allowable load, as in Figure Q4(b)(i), is applied at a point 18.75 mm from the geometric axis of the column as per shown in Figure Q4(b)(ii). Figure Q4(b)(iii) shows the cross section of the column. Identify the horizontal deflection at the top of the column and the maximum normal stress in the column.It is not complex, this question for civil engineers expert! A beam is used to support a concentrated load of 12 kN and a distributed load (w). The beam has the following restrains: Fixed support at A, a hinge at B and a roller support at C. If the distributed Load w is 6 kN/m and E is known to be 200 GPa, Determine the following: a. Determine the absolute maximum bending stress in the strut in (MPa). Your solution has to include the shear and bending moment diagram. b. Determine the radius of curvature for member BC in meters. c. It came to your knowledge that the section used has to be changed, calculate the Smin in mm3 for the strut if the allowable stress is 170 MPa. d. If the supports at A and C were changed to pin supports and the hinge at B was removed. How would the maximum bending stress change? Support your claim with numbers. please make sure the answer is correct 100% be accurate and I need clear answer thank youA uniform load of 8 kN/m acts on segment BC of the rigid beam shown. The beam is supported by a steelrod BD having a cross sectional area of 200 mm2. Determine the vertical displacement of the beam at Cafter the distributed load is applied. For steel, E = 200 GPa. Neglect the weight of the beam. Express youranswer in mm.