The steel bar, consisting of two equal-length segments of different diameters, is used as a cantilever beam to support the triangular load shown. Calculate the maximum deflection of the beam. Use E = 29000ksi for steel. 3.7lb/in. 1.0 in. 0.75 in. ct A 36 in. 36 in. B.

Consider the following beam with overhangs: A B You must provide the value of X. For example, if the answer is PL³ 20-EI C O X. PL³ EI L L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form L D = P enter "0.05" (1/20) in the Canvas quiz. Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., f Oda 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6.

For the beam and loading shown below, determine the maximum deflection in mm? Express your answer in absolute value and use three decimal places. E = 12 GPa and I = 41.62 x 10-6 m4. y www 3 KN/m 3.0 m 1.2 m

Determine the maximum deflection for the beam shown. 40 k 60 k B с 10 ft 10 ft 10 ft I 21 I E = constant = 29,000 ksi I = 1,000 in.*

The beam shown in the figure has a rectangular cross-section 4 inches wide by 8 inches deep. Compute the value of P that will limit the midspan deflection to 0.5inch. Use E = 1.5x10^6 psi. w = 2774 Ib/ft P P - 2ft 10ft 2ft Using Conjugate Beam Method: A cantilever beam having a span of 6m is subjected to a concentrated load of 244 N at a distance 3m from the fixed end. Determine the slope and deflection at the free end of the beam. Write your final answers in terms of El |

Horizontal Deflection at joint D using Virtual Work Method