Question

Strength of Materials IV

9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflection dma of a uniformly loaded simple beam if the span length L 5 2.0 m, the intensity of the uniform load g 5 2.0 kN/m, and the maximum bending stress s 5 60 MPa. rn X The cross section of the beam is square, and the material is alumin"m h ng modulus of elasticity E 5 70 GPa. (Use the formulas of Example 9-1.) g2.0 kN m 31I 20 m 9.4-6 Acantilever beam AB is subjected to a paraboli- caly varyingloadofintensityg(x) 5 go(Z2 2x2)/ where go is the maximum intensity of the load (see fgure). Derive the equation of the deflection curve and then determine the deflection d and angle of rotation u, at the free end. Use the fourth-order dif ferential equation of the deflection curve (the load equation) 862 12x2 (x) -4o-

Answer 1

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2 So ven し22.0ッ 2 a 2 Mazimunm defledbo 38y 82 ma 32 Eb4

3 4b3 Solve for b Substitute b into gnata) D@丿 39, 24 12 The tem in Padentheses s mon dintnsional) 0 nu 22800竹

2000 4 o (30) 2.8 nar

27 A- ttn 3 20 L

2 3 Conditon 3 3 3 Go 8 4 vlo) 2-0 360 360 E2 IS E2