*RI6-8. Using the method of supeīposition, determinc the magnitude of Mo in terms of the distributed load w and dimcnsion a so that the deflection at the center of the beam is zeto. El is constant. ПП |M.
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- The deflection (y) at adistan ce x along abeam of Length L is given by sE (5x²- 5x². + 2X -1), where w is weight, E I E is modulus of elasticity is the second moment Newton - area Thes e are all non -Zero Constants .Using Raphson method, find the distance (x). where the deflection and show Consider X, = 1.5 your answer with IS Zero. four decimal places a ccuracy,find the value of El such that the maximum deflection does not exceed 5mm 135 kN 90 kN 2 m 0.7 m 1 m 25 kN/m A AB C AD Rp=192.1 kN Rp= 100.4 kNAlt Gr Ctri 2. The force P is acting onto the beam ABC through the rigid arm BD. Considering the effects of P at the point B and using Singularity Functions determine the deflection of the end point C. (EI is constant for ABC). D L/2 L/2 SHOT ON MI 6 MI DUAL CAMERA
- Determine the position and magnitude of the maximum deflection in the beam P -2a- A -X- Rc RAP1-15 The 38-mm diameter steel rod ABC and a brass rod CD with 25-mm diameter are joined at C as shown. Neglecting the weight of the rods and for the loading shown, determine the deflection (a) of point c, and (b) of point D. A Steel E = 200GPA d = 38 mm 3 m B 60 kN 3.5 m Brass 2 m E = 105 GPALUP. d = 25 mm 150 KN Fia.Pl-15C P F ЗЕ For the deflection at C to be zero, the ratio PIF is
- 2 - Use double integration to determine the elastic curve of the cantilever beam under lateral loading, where w is the load intensity (per unit length) at the left end. Flexural rigidity is El. Show that the tip displacement is: y w w14 U(L)=-30EIDetermine the maximum deflection of the simply supported beam. E = 200 GPa and I= 55 (10) mm. (Eigute 1) Express your answer with the appropriate units. tha Value Units Submit Requent Anwer Figure Provide Feedback 20AN IS KN/m 13m-The frame A BC support s a concentrated load P at point C (see figure). Members AB and BC have lengths h and fh respectively. Determine the vertical deflection Scand angle of rotation $c at end C of the frame, (Obtain the solution by using the modified form of Ca s tig] i a no s theorem.)
- The cantilever beam A CB shown in the hgure is subjected to a uniform load of intensity q acting between points A and C. Determine the angle of rotation ÔAat the free end A>(Obtain the solution by using the modified form of Castigliano's theorem.)Use the method of superposition to find the angles of rotation 9Aand SBat the supports, and the maximum deflection for a simply supported beam subjected to symmetric loads P at distance a from each support. Assume that EI is constant, total beam length is L and a = U3. Hint: Use the formulas of Example 9-3.‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed by axial loads that have a resultant P = 60 kN acting at the midpoint of one side of the cross section (sec figure). Assuming that the modulus of elasticity £is equal to 210 GPa and that the ends of the bar are pinned, calculate the maximum deflection S and the maximum bending moment Mmax.