4 Which of the following gives the reaction at D in the given beam? 300N₁ 210 N/mp 100 Nm TIT777 5m 845 N O 1195 N 1200 N O 1255 N B int. hinge 5m C7 3m 12m 2m- 120 N/m En 3m F
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- Determine the deflection at midspan of the structure Group of answer choices (-5wL^4)/384EI (5wL^4)/384EI (wL^3)/24EI (-wL^3)/24EIMoment wrt point AI cannot understand these For point of contraflexural, 40090300=200×x90300 x=2 m θA=0 (fixed support) θDA=θD-θA=θD=Area of MEI Dia between A and D = 19030012×600×3+600×4+12×300×3-12×200×2 =355090300 θD=0.03931 radianθD= 2.252° Deflection at point D ∆D=31-CosθD ∆D=2.3176×10-3 mm Deflection at point D is 2.3176×10-3 mm
- 20 -In the cantilever beam in the figure, bar clearance L= 225 cm and single load acting on the free end of the bar P = 12 kN. The cross-sectional effects at point B will be calculated. Accordingly, the Moon on the fixed support at point A=? A) None.B) 27000C) 12000D) 0E) 9000Fr = 3.266 and thetha =168.79Before the load P was applied, a gap, ?0(2.75mm) existed between the cantilever beam AC andthe support at B. Knowing that E=200 GPa, determine the magnitude of P for which thedeflection at C is δ(5.5mm) and the reaction at B. (Hint: Use the method of superposition and beam deflections in Appendix A)
- (a) Solve the following indeterminate beam by the moment distribution method. Determine the reactions and draw the bending moment diagram. (b) If support B and support C settle downward by 0.008m and 0.004m, determine the reactions and draw the bending moment diagram. Given E=200*106 , I=10-5 . (Ans : (a) Ay=7.755, By=8.471, Cy=15.101, Dy=28.673, MAB=-6.676, MBA=5.399, MBC=-5.399, MCB=16.118, MCD=-16.118; (b) Ay=10.193, By=11.429, Cy=30.059, Dy=8.319, MAB=-13.298, MBA=-0.165, MBC=0.165, MCB=16.724, MCD=-16.724)A horizontal propped cantilever of length L is securely fixed at one end and freely supported at the other end and is subjected to a bending couple M in the vertical plane containing the longitudinal axis of the beam. If the couple is applied about an axis 0.75L from the fixed end of the cantilever, determine the end fixing moment and the reaction at the freely supported end. [Ans:1.406 ?/? ; 0.406?]detrmine the moment of inertia about y axis of the given figuew a=4 b=4 c=6 d=5 radius=3
- A rectangular reinforced concrete beam with width of 300 mm & effective depth of 600 mm is subjected to a service bending moment of 200 kN.m. The beam is reinforced with 4-32 mm diameter bars. n = 8. 1. Compute the distance kd? a. 246.33 mm b. 353.67 mm c. 170.33 mm d. 302.33 mm 2. Which of the following gives the moment of inertia about N. A.? a. 4173.81 x 106 mm⁴ b. 3471.81 x 106 mm⁴ c. 4371.81 x 106 mm⁴ d. 4713.81 x 106 mm⁴ 3. Which of the following most nearly gives the maximum stress in steel in Mpa? a. 100 b. 110 c. 120 d. 130A tapered cantilever beam AB supports a concentratedload P at the free end (see figure). The crosssections of the beam are rectangular with constantwidth b, depth dA at support A, and depth dB = 3dA/2 at the support. Thus, the depth d and moment of inertiaI at distance x from the free end are, respectively, d = (dA/2L)(2L+x) I=(bd3/12) =(bd3A/96L3)(2L+x)3 = (IA/8L3)(2L+x)3in which IA is the moment of inertia at end A of thebeam.Determine the equation of the deflection curveand the deflection δA at the free end of the beam dueto the load P.The tensions of the ropes used in pulling a boat along a river by 2 carabaowhich are on opposite side and walking parallel to the river bank are 400Nand 360N. The angle between the ropes is 600. Find the resultant of thepulling force on the boat. Also, determine the angle that separates eachof the rope from the boat.