
A simply supported beam has a length of 3 m and carries a distributed load with a mean of 5 kN/m and a COV of 0.2. Assuming the load is normally distributed, what are the mean and standard deviation of the maximum moment in the beam? What is the probability the maximum moment will exceed 7 kN-m?

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- Question 3. A lake discharges into a steep channel. At the channel entrance the lake is 4 m above the channel bottom. Neglecting losses, find the discharge for the following geometries: (a) Rectangular section, b = 4 m (b) Trapezoidal section, b = 3 m, angle = 60° (c) Circular section, d = 3.5 m.arrow_forwardQuestion 7. A popular sharp-crested weir for use in low-flow situations is the V-notch weir, as shown below. When these weirs are designed, the equation for determining the flowrate by neglecting the velocity head of the upstream flow can be written as Q = CH", where C is a coefficient of discharge and is a function of the notch angle (0) and n is a weir constant. The constants C and n must be determined experimentally for a given weir. In logarithmic form, the weir equation is log Q = n log H + log C. Assume we have a flume in the lab where we can experimentally explore the relationship between Q and H for this weir by adjusting the flowrates. Develop an appropriate experiment to determine n and C' (the weir discharge coefficient) for the weir used. Write the experimental procedure steps and measurement readings that are needed to determine these coefficients empirically. Hint: Please refer to your lab manual. Draw down Nappe H V notch weir Weir plate sharp-crested weirarrow_forwardPlease solve the question by hand with a detailed explanation of the steps.arrow_forward
- Please solve the question by hand with a detailed explanation of the steps.arrow_forwardGiven the properties of the wide flange: Property Value d = 530 mm bf = 210 mm tw = 18 mm tf = 16 mm Compute the value of rt defined as the radius of gyration of compression flange plus 1/3 of the compression web area about y-axis.correct answer: (50.52 mm)arrow_forwardUsing a relevant image such as a 3D architectural rendering of a warehouse landscape in Edmond.arrow_forward
- A simple beam has a span of 10 m and supports a total uniformly distributed load of 12 kN/m. Properties of W 480×86: Property Value A = 10800 mm² bf = 180 mm tf = 15 mm Ix = 383.13 × 10⁶ mm⁴ tw = 12 mm d = 480 mm Questions: Calculate the maximum shear in the beam in kN. Calculate the average shear stress in the beam in MPa. Calculate the maximum shear stress in the beam in MPa. Given the properties of the wide flange: Property Value d = 530 mm bf = 210 mm tw = 18 mm tf = 16 mm Question: Compute the value of rₜ, defined as the radius of gyration of the compression flange plus 1/3 of the compression web area about the y-axis.arrow_forwardGiven an existing two-story steel structure with interior columns spaced as shown in Fig.2. The columns are spaced at 18 ft in the North-South direction and at 30 ft in the East-West direction. An interior lower-story column is to be removed by adding newsteel girder as shown in Fig. 4. The floor dead loads and the roof dead loads are 70 psfand 18 psf respectively. The floor live loads and the roof live loads are 50 psf and20 psf respectively. All existing steel materials are ASTM A36 steel (Fy=36 ksi). Newgirder is ASTM A992 steel (Fy= 50 ksi). All columns are W8x31. Use the LRFD Method.Assumptions:1- The loads given include column and beam self weights.2- Existing beam and new girder are simply supported at both ends.3- New girder top flange is laterally braced at mid span and at girder ends only.4- Columns are continuous from foundation to roof and are prevented from sway atfloor level and at roof level in both directions.5- Columns are pin supported at foundation, at floor level,…arrow_forwardFindarrow_forward
- Determine the vertical reaction at A for the beam shown and a settlement of ½" at support B. a. 45.6 k b. 41.6 k c. 42.7 k d. 40.7 karrow_forwardWhat is the horizontal reaction at A for the frame shown 4? a. 2.42 k b. 15.00 k c. 27.58 k d. 25.00 karrow_forwardDetermine the bending moment at support A for the beam shown using the slope-deflection method. Use the sign convention defined in the chapter. a. 232.9 k-ft b. -182.1 k-ft c. 182.1 k-ft d. -232.9 k-ftarrow_forward
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