Chapter 6, Problem 6.14PFS

1. Determine the reaction at supports and forces acting on each member. (5 pts each) 35 kN 60 kN 10 kN 1m 2m -3m -3m 3m 3m 25 kN 50 kN 10 kN

Problem 7 Water is flowing in a channel with a rectangular cross-section. The channel has a uniform width of b 10 m, and it is equipped with a broad-crested weir. The height of flow in a channel far upstream of the weir is h₁ 2 m, while the weir is == hweir = 0.8 m above the bed of the channel. = 1. Assuming the flow over the weir is critical, calculate the flow rate in the channel by iteratively solving for the critical depth he. Perform at least 3 iterations. Did the flow rate converge? 2. Given the water depth immediately downstream of the weir is 90% of the critical depth hc, what is the water depth after the flow experiences a hydraulic jump further downstream? 3. How much energy is dissipated by the hydraulic jump? h₁ hweir Figure 7: A subcritical flow goes over a broad-crested weir, and it experiences a hydraulic jump downstream of the weir. Figure not to scale.

masonry works

A cantilever beam ABC is fixed at legment AB is 2m long and BC is 3m long. Segmen BC is loaded with a triangular load ranging from 0 at Calculate the maximum slope of the beam. Compute the maximum deflection.

STRUCTURAL ANALYSIS

A 6m simply supported beam is loaded with a 12 kN-m concentrated moment placed 2m from the left support and a concentrated load of 24 kN located 2m from the right support. The flexural rigidity of the beam is EI. Calculate the slope of the tangent at the left support. Determine the rotation at the right support. Find the deflection at the point of application of concentrated moment. What is the maximum deflection of the beam?

GROUP 1 Design a simply supported prestressed beam to support a parking space with a harped tendon using the ACI 318 Building Code allowable stresses. The span length will be decided by the pair. The pair has to choose a suitable sustained service live load (from 300-1500plf) and superimposed dead load (50-150plf) and has no concrete topping. Assume the beam is made of normal-weight concrete with fc'= 5,000 psi and that the concrete strength f'ci at transfer is 70 percent of the cylinder strength. . Also, the pair must assume a justifiable time-dependent loss. • Assume that that fu = 260,000 psi for stress-relieved tendons, ft = 12sqrt(fc'). THE PAIR MUST BE ABLE TO DEFEND THE LENGTH OF BEAM, AND THE LOADINGS APPLIED ON THE BEAM. DEFEND THE USAGE OF YOUR SELECTED SECTION TYPE

A trapezoidal drainage ditch along a highway system has a side slope of 2:1 anda bottom width of 8.0 ft. The ditch is to be used to discharge a flow of 500 ft3/sec.If the ditch slope (longitudinal) is 1.0% and the Manning coefficient is 0.02,determine the minimum depth required for the ditch. Is the flow supercritical orsubcritical? Justify your answer.

Determine the global stiffness matrix of the beam shown in Fig. 3. Assume supports at 1 and 3 are rollers and the support at 2 is a pinned support.  Indicate the degrees of freedom in all the stiffness matrices. EI is constant, w=60kN/m, L1=1.25m and L2=3.45m