su 5. Using superposition, determine the deflection at the free end C of the cantilevered beam shown below, if I = 130 x 10-6 m4 and E = 200 GPa. سنه A -2m 10 kN/m B 40 kN m 4m-
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- 4. A cantilever of length 2m carries a point load of 20 kN at the free end and another load of 20 kN at its centre. If E = 10°N/mm?and I = 10®mm for the cantilever then determine by moment area method, the slope and deflection of the cantilever at the free end. 20KN 20 KNQ4: Determine the maximum deflection and its location of the simply supported beam shown in the Figure. (E = 200 GPa) and (I= 65.0×105 mm²). 2 m 30 kN 15 kN +2m-20Determine the maximum stress in a hollow column of Do = 160mm and Di = 100mm that supports a load of 40KN and a bending moment of 4KN-m.
- A cantilever, 2.6m long, carrying a uniformly distributed load w along the entire length, is propped at its free end to the level of the fixed end. If the load on the prop is then 30 kN, calculate the value of w. Determine also the slope of the beam at the support. If any formula for deflection is used it must first be proved. Take E = 210 GN/m² and 1 = 4*10 m².Alt 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 CAMERAThe three concentrated load is supported by a T beam shown in figure. Determine the maximum value of P so that Gensile ≤ 12 ksi and compressive ≤20 ksi. 2in K 3P 4ft 7ft R₁ 7ft 4ft R₂ k4in 8in 2in
- 2. L=3m 16mm dia. E=200GPA W 5 m 5 m I=10x106 mm When the deflection of the rod is 1mm, compute the force P of the rod.The compound beam shown in (Eigure 1) is fixed at E and supported by a rocker at A and B. There are hinges (pins) at C and D. The 4-kN load is applied just to the right of the pin at D. Suppose that w = 5 kN/m. Figure 4 kN 6kN I. conf 1 of 1 -2m-2m-2m-3m- 3m ▼ Determine the y component of reaction at A. Express your answer to three significant figures and include the appropriate units. A₁ = Value Submit Part B B, = HA Submit Part C Request Answer Determine the y component of reaction at B. Express your answer to three significant figures and include the appropriate units. Value KN Request Answer ? KN ? Determine the component of reaction at E.. Express your answer to three significant figures and include the appropriate units.Q2: A simply supported beam as shown below. Determine the deflection at C and D. Take E = 210 GN/m? and I = 16 x10% mm*. 120 kN 80 kN -0.6 m- 1.4 m C 3 m
- ‘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.An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.An aluminum box column with a square cross section is fixed at the base and free at the top (sec figure). The outside dimension b of each side is 100 mm and the thickness t of the wall is 8 mm. The resultant of the compressive loads acting on the top of the column is a force P = 50 kN acting at the outer edge of the column at the midpoint of one side. What is the longest permissible length Lmaxof the column if the deflection at the top is not to exceed 30 mm? (Assume E = 73 GPa