If principle stress opi = 100 N/mm (tensile) op2 = 40 N/mm (compressive), then maximum shear stress will be: (a) 70 N/mm (c) 30 N/mm2 (e) 5 N/mm? (b) 50 N/mm? (d) 10 N/mm?
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- 2. At a point in a brocket, the stresses on two mutually perpendicular planes are 180 MN/m? (tensile) and 70 MN/m2 (Compressive). The shear stress across the planes is 65 MN/m2. Find the following by Mohr's Circle method and compare with Analytical solutions: (i)The Normal stress on a plane making an angle of 50° with the plane of first stress. (ii)Shear stress on the plane (iii) Maximum shear stress (iv) Resultant stress and it's direction. (v) Major and minor principal stresses.b3 C Q ↑ D P= 23 KN R = 34 KN Square Bars b₁ = 57 mm 6₂ = 19mm b3 = 38mm WHAT IS THE AXAIL STRESS IN BAR 1 ? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES. POSITIVE FOR TENSILE STRESS AND NEGATIVE FOR COMPRESSIVE STRESS. (1) A Guen: b₁ B (2) Q =9 kN b₂ (3) R3. A circular bar rigidly fixed at its both ends is 1.2 m long. It uniformly tapers from 100 mm at one end to 75 mm at the other. What is the maximum stress induced in the bar, when its tempera- ture is raised through 25 K? Take E as 200 GPa and a as 12 x 10/K. [Ans. 80 MPa] unifor from 00 to 60
- A steel tension bar 10-mm thick and 50-mm wide with an initial single-edge crack of 10-mm long is subjected to a uniaxial stress o = 150 MPa. Using the values given in Table Q4 below A) Determine the stress intensity factor KI. If KIC = 50 MPa m, is the crack stable? B) Determine the critical crack size. C) Determine the critical load. Take Y= 1.37 D) Suppose that a structure made of plates has one cracked plate. If the crack reaches a Critical size, will that plate fracture or the entire structure collapse? Explain(1) Given: b₁ B P=28 kN Square Bars b₁ = 57 mm (2) Q =9 kN b2 C b₂ = 19mm (3) Q R = 38kN ↑ D b3 = 38mm R WHAT IS THE AXAIL STRESS IN BAR 2? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES. POSITIVE FOR TENSILE STRESS AND NEGATIVE FOR COMPRESSIVE STRESS.In a volume element with dimensions dx, dy, dz the negatíve y-face has a 2 MPa stress in the positivex-direction, a 3 MPa stress in the negative z-direction, and a 4 MPa stress in the negatíve y-direction. Which of the following describes the stresses per elasticity convention? Oyy = 4 MPa Oyr = -2 MPa 3 MPa A MPa
- Consider a long cylindrical solid rod - total length L - mass density p; - radius R1 = R2 = R; suspended from the top and hung freely downward along the (-1)Ž direction; - subjected to gravitational pull from the ground in the (-1)Ź direction. R2 +Z Z = h R1 Z = 0 a) Calculate the longitudinal stress o within the rod as a function of h; b) Repeat the calculation ifR| turns into a cone); = 0 and R2 = R (i.e., when the cylindrical rod c) Based on your answers to a) and b), provide some reasoning as to why a space elevator would not work [hint: think about the rod as the load bearing element of the space elevator].(1) Given: B P=28 KN Square Bars b₁ = 57 mm (2) Q =9 kN b₂ C b₂ = 19mm (3) Q R = 38 kN ↑ D b3 = 38mm R WHAT IS THE AXAIL STRESS IN BAR 2? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES. POSITIVE FOR TENSILE STRESS AND NEGATIVE FOR COMPRESSIVE STRESS.In an elastic body system, a point has the following state of stress components, Ox= 16 kPa, Oyy = 12 kPa, Oz = 4 kPa, Txy = 4 kPa, Tz = 8 kPa, Tyz = 2 kPa. Without using Mohr's circle calculate: (A) The principal stresses (01, 02, 03) (B) Based on the principal stresses, calculate the maximum shear stress (Tmas) Construct Mohr's circle for XY plane, and determine the following: (C) The stress components with respect to ab axes which are inclined at 0 =45 to the XҮ ахes. (D) The magnitude of the maximum shearing stress and associated normal stresses. (E) For Mohr's Circle drawing
- P2) A brass bar, having cross-sectional area of 900 mm2, is subjected to axial force as shown below. AB = 0.6 m, BC = 0.8 m, CD = 1.0 m. Find the total elongation of bar. Take E = 1 * 105 N/mm2 B 40 kN 80 kN 20 kN 20 kN ww. wwwww wwww Change in length, õL - 0.3111 mm (Compression)If the cross sectional area of bar BD is 0.5 in2, what is the stress in bar BD? 300 lb/ft 2 ft 2 f1 30° 6 ft- D.Q2: The load (50 kN) applied on the rigid beam (AB) Is supported by the pin (A) and two rods ,one made of steel and the other composite of bronze and aluminum, as shown in (Fig.2). Determine the stress of each material , and final location of (B). r Composite rod (L- 2 m) steel rod (Letm) rigid Steel: AF 600 mm? , E=200 GPa, Bronze: AF 300 mm , E= 83 GPa, Aluminum: A = 300 mm , E= 70 GPa A 0.6 m 0. 8 m SO KN (Fig.2)