Basic Solid Mechanics by D. W. A. Rees (auth.)

By D. W. A. Rees (auth.)

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If M = 0 at midspan, find /. What is l if Mmax is to be kept as small as possible? Sketch the F and M diagrams for the latter case and determine the points of contraflexure. 17 Draw the F and M diagrams for the beam in Fig. 37 and find the position of the point of contraflexure. H. H. end). 1. 18 Find the magnitude and position of Mnl4X and the points of contraflexure for the beam in Fig. 38. H. H. H. 19 Sketch, for the beam in Fig. 39, the F and M diagrams. Determine the position and magnitude of M111n and the point of contraflexure.

36 when each frame is hinged at A and rests on rollers at B. w. 4 t). 16 A beam of 12m length carries a uniformly distributed load of 200 kg/m and rests on two simple supports distance l apart with an equal overhang at each end. If M = 0 at midspan, find /. What is l if Mmax is to be kept as small as possible? Sketch the F and M diagrams for the latter case and determine the points of contraflexure. 17 Draw the F and M diagrams for the beam in Fig. 37 and find the position of the point of contraflexure.

9 The principle of the lifting mechanism shown in Fig. 25 is that a horizontal force H, applied at the sliderS, will raise a weight W through the pin joints at B, C and E and a further slider at D. Find the force, H, necessary to support a weight W = 150 kN and the total vertical shear force at the mid-point E. Take CS = BD = x = 1 m. 10 Find the force exerted by the jack in Fig. 26 as it initially raises a triangular block of 5 kN while the apex remains in contact with the ground. What is the corresponding shear force in the pin at A?

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