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Chapter 9: Q19Q (page 230)

Materials such as ordinary concrete and stone are very weak under tension or shear. Would it be wise to use such a material for either of the supports of the cantilever shown in Fig. 9–9? If so, which one(s)? Explain

Short Answer

Expert verified

Concrete and stone can be used for the right-hand support of the cantilever.

Step by step solution

01

Understanding cantilever beam

In a cantilever beam, the left-hand support pulls the beam downward. So, the beam should be pulled in the upward direction on the support of the beam.

02

Explaining the use of concrete and stone for either of the supports on the beam

Stone and concrete are the types of materials that are weak under tension, and the left support of the cantilever beam undergoes greater tension. So, concrete and stone should not be used in the left support.

The right-hand support of the beam experiences compression force; so using concrete or stone can be appropriate.

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Most popular questions from this chapter

(I) A nylon string on a tennis racket is under a tension of 275 N. If its diameter is 1.00 mm, by how much is it lengthened from its untensioned length of 30.0 cm?

(II) How much pressure is needed to compress the volume of an iron block by 0.10%? Express your answer in \({\bf{N/}}{{\bf{m}}^{\bf{2}}}\), and compare it to atmospheric pressure \(\left( {{\bf{1}}{\bf{.0 \times 1}}{{\bf{0}}^{\bf{5}}}\;{\bf{N/}}{{\bf{m}}^{\bf{2}}}} \right)\).

(II) The two trees in Fig. 9–51 are 6.6 m apart. A backpacker is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force\(\vec F\)that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by (a) 1.5 m, (b) 0.15 m.

A rubber band is stretched by 1.0 cm when a force of 0.35 N is applied to each end. If instead a force of 0.70 N is applied to each end, estimate how far the rubber band will stretch from its unstretched length: (a) 0.25 cm. (b) 0.5 cm. (c) 1.0 cm. (d) 2.0 cm. (e) 4.0 cm.

(III) Four bricks are to be stacked at the edge of a table, each brick overhanging the one below it, so that the top brick extends as far as possible beyond the edge of the table. (a) To achieve this, show that successive bricks must extend no more than (starting at the top) \(\frac{{\bf{1}}}{{\bf{2}}}{\bf{,}}\frac{{\bf{1}}}{{\bf{4}}}{\bf{,}}\frac{{\bf{1}}}{{\bf{6}}}\) and \(\frac{{\bf{1}}}{{\bf{8}}}\)of their length beyond the one below (Fig. 9–75a). (b) Is the top brick completely beyond the base? (c) Determine a general formula for the maximum total distance spanned by n bricks if they are to remain stable. (d) A builder wants to construct a corbeled arch (Fig. 9–75b) based on the principle of stability discussed in (a) and (c) above. What minimum number of bricks, each 0.30 m long and uniform, is needed if the arch is to span 1.0 m?
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