Engineering Mechanics

(^328) „„„„„ A Textbook of Engineering Mechanics 15.6. TENSION IN A STRING SUPPORTED AT DIFFERENT LEVELS Fig. 15.6. Tension in s ...

Chapter 15 : Equilibrium of Strings „„„„„ 329 The term l 1 / l 2 is known as ratio of the horizontal length of the string or cab ...

(^330) „„„„„ A Textbook of Engineering Mechanics ∴ l 1 = 1.58 l 2 and l 1 + l 2 = 120 m ∴ 1.58l 2 + l 2 = 120 m ...(Q l 1 = 1.58 ...

Chapter 15 : Equilibrium of Strings „„„„„ 331 15.7. LENGTH OF A STRING It means the actual length of a string or cable required ...

(^332) „„„„„ A Textbook of Engineering Mechanics Now expanding the term inside the square root, by *Binomial theorem, (^222) 2 1 ...

Chapter 15 : Equilibrium of Strings „„„„„ 333 Solution. Given : Central dip () c 12 l y = (where l is the span); Maximum stress ...

(^334) „„„„„ A Textbook of Engineering Mechanics l 1 = Horizontal length between A and C, and l 2 = Horizontal length between C ...

Chapter 15 : Equilibrium of Strings „„„„„ 335 We know that ratio of the horizontal lengths, 1 2 39 2 3 c c l yd ly + + === ∴ l 1 ...

(^336) „„„„„ A Textbook of Engineering Mechanics or (^2) 45 15 m 3 l == and l 1 = 2l 2 = 2 × 15 = 30 m ∴ Length of the cable, 2 ...

Chapter 15 : Equilibrium of Strings „„„„„ 337 Resolving the forces on CP vertically and horizontally, T sin ψ = w s ...(i) and T ...

(^338) „„„„„ A Textbook of Engineering Mechanics This is the cartesian equation of the catenary, in which c is called parameter ...

Chapter 15 : Equilibrium of Strings „„„„„ 339 We know that for the peg B, y= 2.5 m and s = l m Similarly for peg D, y= 2.0 m and ...

(^340) „„„„„ A Textbook of Engineering Mechanics Maximum tension in the cable We know that maximum tension in the cable is at A ...

Chapter 15 : Equilibrium of Strings „„„„„ 341 OBJECTIVE TYPE QUESTIONS If the shape of a string is parabola, it implies that it ...

(^342) „„„„„ A Textbook of Engineering Mechanics Virtual Work 342 Contents Introduction. Concept of Virtual Work. Principle of ...

Chapter 16 : Virtual Work „„„„„ 343 A little consideration will show that If the value of θ is between 0° and 90°, some work is ...

(^344) „„„„„ A Textbook of Engineering Mechanics We also know that the work done by the force P in moving the body from O to C. ...

Chapter 16 : Virtual Work „„„„„ 345 Now in two similar triangles ABD and ACE, xa yl = or ay x l = ∴ Total virtual work done by t ...

(^346) „„„„„ A Textbook of Engineering Mechanics From the geometry of the figure, we find that when the virtual upward displacem ...

Chapter 16 : Virtual Work „„„„„ 347 From the geometry of the figure, we find that when the virtual upward displacement of the be ...