Application and Significance of normal and shear stresses on a plane in the field of civil engineering

Question 5 [Similar to Problem 9-17] Consider the following figure showing state of stress at a given point in a structural or machine element. Identify normal and shear stresses acting on the element. Find principal stresses. Show the orientation of the element on which the principal stresses act. Find maximum in-plane shear stresses. Find associated normal stresses. Show the orientation of the element on which these stresses act. 150 MPa 50 MPa 100 MPa Moch onios of Motoriols

Which of these are types of normal stresses? A) Compressive and plane stresses B Shear and bending C Tensile and thermal stresses D Tensile and compressive stresses

1. This is defined as the amount of force to induce a unit deformation. a)Shear Modulus b)Rigidity c)Relative Stiffness d)Stiffness

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A machine component is subjected to a load of P = 3,800 N. Which stress element represents the state of stress at point H? 25 mm 3,800 N 18 mm 50 mm 5 mm 12 mm 5 mm

Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. If P = 75 kN, determine the following:a. Stress in the bronze segment.b. Stress in the aluminum segment.c. Stress in the steel segment.

The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 19N/mm2, find the maximum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2

Homework #6 Problem 1. A steel alloy core is bonded firmly to the copper tube to form the shaft shown. The materials have the shear stress-strain diagrams are shown in the figure. a) If the total applied torque is 15 kN.m, determine the torque resisted by the core and tube. b) What is the maximum elastic torque that can be applied to the shaft? What is the corresponding maximum shear strain in the shaft? c) What is the maximum torque that one can apply to the shaft? 100 m 60 mm +(MPa) 180 450 mm 15 KN-m 0.0024 (MPa) Steel Alloy 36 0.002 Copper Alloy (rad) y (rad)

At a point in an elastic material there are two mutually perpendicular planes, one of which carries a direct tensile stress of 50 N/mm² and a shear stress of 40 N/mm² while the other plane is subjected to a direct compressive stress of 35 N/mm² and a complementary shear stress of 40 N/mm². Determine the principal stresses at the point, the position of the planes on which they act and the position of the planes on which there is no direct stress. Ans. o1 = 65.9 N/mm², 0 = -21.6°, o1=-50.9 N/mm², 0 = -111.6°. No direct stress on planes at 27.1° and 117.1° to the plane on which the 50 N/mm² stress acts.