n Figure (1) below. (b) If W-10 kN/m, and L -3.5 m, determine the sla en at 2 m from point A. Elasticity medulus, E-210 GN/m² and the mon -200 x 10 m. og wwwwww
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- A block weighing 100 N is placed on an inclined plane of slope angle 30 degrees and is connected to a secondhanging block of weight “W”, by a cord passing over a small frictionless pulley. The coefficient of slidingfriction is 0.3. Find the weight “W” for which the 100N block moves up the inclined plane at a constantvelocity.Knowing that L = 4 m, Concentrated load P = 15 kN and uniform distributed load w = 12 kN/m, determine the slope at C by Castigliano’s Theorem.(E= 200 GPa, I = 40x106 mm4)Given the ff. data of dynamic lateral force procedure for buildings:Period of vibration: T = 0.8 secSpectral velocity, Sv = 0.15 m/secK = 15 158 kN/mmTotal W = 2400 kN Give the maximum relative displacement,the value of spectral acceleration,value of the lateral force of the tank in kN,the value of the maximum base shear in kN.
- An overhanging beam supports the loads as shown in the figure. If El 3000.65 kNm², determine the value of deflection at point Fin millimeters.A cantilever beam carries a trapezoidaldistributed load (see figure). Let wB = 2.5 kN/m,wA = 5.0 kN/m, and L = 2.5 m. The beam has amodulus E = 45GPa and a rectangular cross sectionwith width b = 200 mm and depth h = 300 mm.Use the method of superposition and Cases 1 and8 in Table H-1 to calculate the def lection and rotationat B.Given the figure below. Use UNIT LOAD METHOD in determining the maximum deflection at midspan. E and I are constant. 1. Consider segment AB of virtual beam, with x measured from A, what is the moment equation? 2. Analyzing segment BC of the real beam, with x measured from A, what is the moment equation M_BC? 3. In the given beam, if the 50 KN load is moved 2m closer to A and deflection at midspan is desired, how many segments must the beam be divided so that the real and virtual loadings are continuous in each segment?
- Analyze the given structure below.A.Compute for the 1st arbitrary constant of integration (C1) using Double Integration Method.B. Compute for the 2nd arbitrary constant of integration (C2) using Double Integration MethodC.Calculate for the slope at the free end (Use: DOUBLE INTEGRATION METHOD)D.Using Double Integration Method Calculate the deflection at the free end of the beam shown belowA beam with length L is fixed at both ends. It is loaded with a concentrated force P at L/3 from the first support. Draw the loading diagram. If the beam has a length of 10 m, cross section of 200x200mm, and force P is 10 kN, what is the deflection at midspan (in mm)?Determine the vertical displacement of node A. Consider EA = 16x104 [kN-m]
- For the beam loaded as shown in the figure 1, determine the deflection at B in mm using Double Integration Method. Consider 150 mm x 150 mm section and E = 200 GPa. a = 3.9 m, b = 9 kN/m, c = 15 kN.A 7m cantilever beam supports a concentrated load equal to 60KN at the midspan. Using double integration method, what is the deflection 5 m from the fixed endCalculate the value of the deflection at point B due to uniformly distributed load w in the form answer in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.