The cantilever beam AB shown has a rigid bracket AC attached to its free end. Find the ratio a/L required so that the deflection at point A will be zero. Use Ely" = M(x). IB E,I SHOT ON MI6 MI DUAL CAMERA
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Q: * For the RIGID beam shown, find the :deflection at point B 50 kN A B C 2m 3m 3m +0,025 m ID
A: Value of EI is needed
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A: Given DataEI=6×106Nm2M=4kNP=16kN BMD and SFD
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A: (i) Draw the free-body diagram of the given beam.
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Q: P B A 21 21 1.50 m 1.50 m 1.50 m 1.50 m
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A: For solution refer below images
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Q: 60 k 3 k/ft A В -10 ft- -10 ft- -10 ft- El = constant E = 29,000 ksi I =4,000 in.4
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- A simple beam ABC DE supports a uniform load of intensity iy (see figure). The moment of inertia in the central part of the beam (BCD) is twice the moment of inertia in the end parts (AB and DE). Find the deflection Scat the midpoint C of the beam. (Obtain the solution by using the modified form of Castigliano's theorem.)A symmetric beam A BCD with overhangs at both ends supports a uniform load of intensity q (see figure). Determine the deflection SDat the end of the overhang. (Obtain the solution by using the modified form of Castiglianos theorem.)The deflection curve for a cantilever beam AB (see figure) is given by v=q0x2360L2EI(45L440L3x+15L2x2x4) Describe the load acting on the beam. Determine the reactions RAand M 4at the support.
- A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.An overhanging beam ABC is subjected to a couple MAat the free end (see figure). The lengths of the overhang and the main span are a and L, respectively. Determine the angle of rotation 04and deflection S4at end A. (Obtain the solution by using the modified form of Castigliano's theorem.)A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its self-weight with intensity q. The length of the beam is 1L5 ft. Let E = 30,000 ksi. Calculate the reactions at joints A and B. Find the location of zero moment within span AB. Calculate the maximum deflection of the beam and the rotation at joint B.
- A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?-5 Calen1ate the deflections S 3a nddetermine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places Answer asap. I rate
- Calculate first the formula and then the value of the angle of rotation and deflection of the beam with a length of 3m at the point C. L = 2.1m , A= 0.9m E=210GPa I=119x106mm4A cantilever 8m long carries a uniformly distributed load of 12kN/m from midspan to free end. Determine the deflection at the free end, Find the smallest moment of inertia (in x10^6 mm^4) so that its maximum deflection does not exceed the limit of 1/360 of the span. Use E = 70 GPa. Determine the required depth of beam if it is a rectangular section with width-to-depth ratio of 0.5.The beam shown in Fig. a supports the triangular distributed loading. Determine its maximum deflection. EI is constant.