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Q4. A bar shown below is loaded at its end acting perpendicular to the diagram, Strain...
Question 2 I (a) Using a 459 strain gauge rosette placed on a mild steel structure, the following strains were established from the measurements taken:£x = 75x10", Eyy =-115x10-6 = 210 10-6 and Yxy yy (i) Determine the corresponding normal stresses Ox and and shear stress txy. For mild steel, use Young's modulus E= 205 GPa , Poisson's ratio v=0.3 and shear modulus G = 78.8 GPa. [6 marks] (ii) Using the values obtained in (i), determine the principal stresses...
The bar is made of mild steel (Sy =245 MPa) and is loaded by the forces Fx = 300 N, F, = 450 N, F2 = 300 N, and Mx = 55 N m. - 100 mm (A) Find the principal stresses and the max shear stress at A of the member. (B) Compute the von Mises stress at A. TINTI (C) Compute the factors of safety of the member using the distortion-energy (DE) and maximum-shear-stress (MSS) theories. 15-mm D....
A low carbon steel shaft is designed to have a diameter of 30 mm. It is to be subjected to an axial load (P-30 kN), a moment (M-200 N-m), and a torque (T-300 N-m). Assume the yield stress for the steel is (280 MPa), the Poisson's ratio is (v= 0.29), and the safety factor is (1-1). Calculate the margin of safety using the following failure theories. a.) Rankine Criteria (Maximum Principal Stress) b.) Tresca Criteria (Maximum Shear Stress) c.) Saint...
A ductile solid circular loar of 0,2 m in diameter is loaded as shown in the figure. The tensile stress-strain response of the bar is shown in the figure. Determine the following: a) Stress State at point A. b) Principal strains and absolute maximum shear strain using Mohr's arde c) Find out whether the barwill fail based Von Mises failure critenia, on 204 70- 60- 5m A 20- 10- 52N T 0.005 0.015 아이 OKNom 5kv.ml -2 KN
Q3. A rectangular cross sectioned cantilever beam is 300 mm long and has a half bridge gauge at a distance 200.0 from the free end, whose width is twice the height. If the load applied at the free end is 15 kg, the V, is measured to be 150 micro volts. The gauge factor is given as 2.14 and the applied voltage V, is given a 5V and hence the equation for half bridge is given as E a) Determine...
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section a-a is safe against yielding, (a) using the maximum distortion energy criterion (Von Mises criterion) (b) using the maximum shear stress criterion (Tresca) 15 mm w-12 kN/m 15 mm 120 mm 2000 mm 15 mm 3000 mm 3000 mm 6000 mm 60 mm
An...
A Semi-infinite beam is loaded by force P at distance a from its
end, as shown in figure. (a) Obtain formulas for deflection, slope,
moment, and shear force, Using the results from part (a), consider
a 2-m-long steel bar (E = 210 GPa) of 75mm´75mm square cross
section that rests with a side on a rubber foundation with a
modulus of k = 24 MPa. If a concentrated load P = 100 kN is applied
at the distance of a...
Question Four (15 marks) A cylindrical steel machine component is dynamically loaded with alternating torque and bending Maximum torque Max. bending moment as follows 40Nm (CW) -38 Nm Minimum torque Min. bending moment 175Nm (CCW), 238 Nm 500 MPa, Se = 280 MPa For the steel, Sut = 700 MPa, Sv = Assuming that o'm/a'a is constant, and that the design factor of safety for fatigue is 2.0 Estimate the diameter of the cylindrical component (a) (10 marks) 16T 32M...
please give me a detailed explanation for part C.
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answer.
1. A long, mild steel cylindrical pressure vessel with diameter 2 m has an operating pressure of 30 bar and a wall thickness of 30 mm. (a) Calculate the hoop and longitudinal stresses in the cylindrical wall. 13 marks] (b) Determine the safety factor using Tresca's yield criterion 2 marks] (c) A 45° strain gauge rosette is attached to the curved...
An existing steel beam is in use in a building. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads which simulate crowd loading. It is necessary to calculate the principal stresses to check whether the beam is safe for its current purpose (ie: assess whether the stresses determined are less than the maximum permissible stresses) Figure 4: Strain gauge rosette location and recorded strains In this case it is reasonable...