Get 3000 solved problems in physics PDF

By Alvin Halpern

ISBN-10: 0070257345

ISBN-13: 9780070257344

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3-2 Normal and shearing stresses on an inclined plane. For normal stresses, tensile stress is considered to be positive, compressive stress negative. For shearing stresses, the positive sense* is that illustrated in Fig. 3-1. If moments are taken about the center of the face shown, we would see that txy = tyx since the normal stresses pass through the center. We shall assume that the stresses sx, sy, and txy are known. Frequently it is desirable to investigate the state of stress on a plane inclined at an angle q, measured counterclockwise to the x-axis, as shown in Fig.

Take the modulus of elasticity to be 100 GPa. Ans. 23. A solid circular steel rod 6 mm in diameter and 500 mm long is rigidly fastened to the end of a square brass bar 25 mm on a side and 400 mm long, the geometric axes of the bars lying along the same line. An axial tensile force of 5 kN is applied at each of the extreme ends. Determine the total elongation of the assembly. For steel, E = 200 GPa and for brass, E = 90 GPa. Ans. 24. A high-performance jet aircraft cruises at three times the speed of sound at an altitude of 25 000 m.

Fig. 2-14 SOLUTION: A free-body diagram of the right strip has the form shown in Fig. 2-15. There, s denotes normal stress in the weld on the 45° plane and t the shearing stress. These are, of course, forces per unit area on the 45° (a) (b) Fig. 2-15 CHAPTER 2 Shear Stresses 33 plane and these must be multiplied by the area of the 45° plane which is bt/cos 45°, where t denotes strip thickness and b the width. For horizontal equilibrium we have  bt  ∑ Ft = τ   − P cos 45 ° = 0  cos 45 °  440 × 106 = P × 0 .

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3000 solved problems in physics by Alvin Halpern


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