Question

Check my For the cantilever beam and loading shown, determine the slope and deflection at point Use E3310 The slope at end Bis The deflection at end BC 10-3 rad. n . < Prey 9 of 11 Next > 06446

Answer 1

The slope at end B is 10.6136 x 10^(-3) rad (- ve slope).

The deflection at end B is 0.21103 in. (downwards).

Please find the solution below:

6 Giveni E = 33 * 10 psi, de 1.75 in. P="d4 = 0.460386 in 64 Solution : 125 lb 15 lblin TITIO 1.75 in " A 30 in oin roina To find slope at deflection at end B: u from the principle of superposition we have 15 lblin 125 is 125 lb 15 1Ь: 30 in loir 17 - 30 in B co (h 40 in (ii) (in (i) deflection at and B : deflection, y. = wa' (2-4%) 0 a • A / /4 / 94€1 Here a = x= 30 in (15)(303) Yi - - . 94x(33*10* (0.460386) (30- 4(30)) .. = -0.099965 in (~ downwards t ) Slope at end Bi O; = - wall -15» (30) 6 EI 6 ~(33 r109):10:480386) .: 9= - 4.442912 210-3 rad |-- ).

- deflection at end B: in a w deflection, Yii = P (x3 - 3 ax²) 6EI 30 in. Here, a : 20 in ; X= 30 in Yo = 125 * ( 30% - 3640 - 30%) 6033210°n 0.460386 . :: Y = -0.11107 in Slope, 0,= (x°-2ax ) 2 EI di = - 125_ ( 30°- 2140130) 2 33x10' 0460386 -6.1707 X10-3 tad i. O =

i slope at and B due to (i) and (ii) is, De = 0; + Oii = (-4: 4429 -6.1707 ) *100 (OB = - 10.6136 x 10-3 rad Answer 10. 6136 * 10 3 rad . Beffection at end B due to (i) and (ii) is, Yg = y; + Yoi = -0.89996 - 0.1107 .:( -0.21103 iny 0.21103 in t Answer
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