2 kN 1.5 kN /m A 2 m 2 m (a) Fig. 7-15
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Draw the shear and moment diagrams for the cantilever beam shown.
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- Q- Find the intensity of u.d.l. which when its acts over the entire span of 1 m of a cantilever beam of a rectangular cross-section of width 100 mm and depth 200 mm would produce a maximum shear stress of 1.5 N/mm².17 Refer to the figure, what is the reaction at pin C in KN? (_ 0.75 kN/m 2.0 3.8 O 4.3 O 4.5 1.5 m 2 kN D 1.5 m- 2.5 m B T 1.5 m C. 4 kNP3. Using Morgenstren charts to calculate the safety factor of a wedge of 30 m height in a homogenous dam of height of H=60 m if the water level is reduced from 60 to 40 m. The slopes of the faces of the dam are 3H:1V. The dam crest width is 10 m. (Fig. P3) Initial Water Level 60 m 60 m Water Level after RDD-40 m 40 m 30 m Wedge Height-30m H=60 m C-30kPa, -35°, y-20 kN/m², Fig. P3 Dimensions and configuration of the dam for problem P3.
- 3645 N-m T Example (1.1) Determine the resultant internal loadings acting on the cross section at C of the cantilevered beam shown in figure 1.3a. as 270 N/m 540 N 540 N 135 N 180 N/m 90 N/m -180 N/m Mc 1215 N B Ne 3 m 6 m 1.5 m- Im (a) (b) 0.5 m (c) Figure (1.3) Beam internal load analysisQ3 A- The energy loss of hydraulic jump between (y2-y1)3 ( specific energy 1 and 2) can be written AE : %3D prove that ? 4y2Y13. An irregular structure in Fig. BES SRB 003 is subjected to multiple forces and a couple as shown. Calculate the following: distance of resultant from point A with respect to the x-axis 5m 905 N-m 6 m Fig. BES SRB 003 200 N 40° 600 N
- Q2/ A cylindrical barrier holds water, as shown in Fig.1, the contact between cylinder and the wall is smooth. Consider a Im length of cylinder, determine the weight of the cylinder and the force exerted against the wall, take y, = 9790 N/m³. Fig. 1 TIL ... r-2mThe resultant of three parallel loads (one is missing in Fig. P-2) is 13.6 kg acting up at 3 m to the right of A. Compute the magnitude and position of the missing load. 18 kg 27 kg 0.6 m 3.4 mQ9/ A large movable plate is located between two large fixed plates as shown in Fig. P1.10R. Two Newtonian fluids having the viscosities indicated are contained between the plates. Determine the magnitude and direction of the shearing stresses that act on the fixed walls when the moving plate has a velocity of 4 m/s as shown. Assume that the velocity distri- bution between the plates is linear. 6 mm 3 mm #=0.02 N Sem u 0.01 N s/m Fixed plate 4 m/s Fixed plate b₁ 业 Sung th, T₁ U
- a) L Question 7: A massless beam ABC of span L and con- stant flexural rigidity EI is simply supported at A and C, and it supports a mass concentrated at the midspan point B, as shown in Figure a). The natural frequency of this В A. El m system is expected to be 25 rad/s. However, the measured natural circular frequency is found to be only 23 rad/s, the b) lower value being ascribed to flexible supports at A and C, k Figure b). Calculate the stiffness k of the beam support k bearings as a fraction of the beam stiffness. LwwQuestion-04: CLO3 A circular tank of diameter 1.25 m contains water up to a height of 5m. An orifice of 50mm diameter is provided at its bottom. If Cd is 0.62, Solve for the height of water above the orifice after 1.25 minutes and 17 minutes. 10) Question-05: Solve for resultant force and cen of pres of resultant force acting of the centraL cross secticQ2. As shown in Fig. Q2, a simply supported beam with overhang over the support B is supposed to support the characteristic permanent load G = 75 kN/m (including the self weight) and the characteristic live load Q = 55 kN/m. The beam is connected to two adjacent slabs (in the transverse direction), and the beam and the connecting slabs were constructed monolithically. The beams are spaced in the transverse direction at 3.0 m centres with a slab thickness h support has a width of 420 mm. 160 mm. Each Assume C30/35 concrete, Grade 500 steel, b = 325 mm, d = 550 mm, and h = 725 mm. If the compressive reinforcement is needed, it can be assumed that d' = 75 mm (for both sagging and hogging). (a) Identify the load case which can result in the maximum sagging moment at the mid-span of the span AB. (b) Based on the result obtained from Q2(a), design the bending reinforcement for the maximum sagging moment at the mid-span of the span AB. Draw a cross-sectional view for showing the location of…