Sustainable Energy
1st Edition
ISBN: 9781133108689
Author: Richard A. Dunlap
Publisher: Cengage Learning
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Chapter 6, Problem 5P
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Calculate the collapse load (P) for the two fixed ended beam shown below.
Use virtual work
method
P
2 m
4 m
L= 6 m
Find the collapse load (Wu) for the one-end continuous beam shown below.
Use virtual work method
Wu
6 m
Find the maximum distributed load can be applied to the two fixed ends
beam shown below.
Use Virtual work method
Wu
L=6m
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- Calculate the collapse load (P) for the two fixed ended beam shown below. Use virtual work method P 2 m 4 m L=6marrow_forwardQuestion 1 (Approximate Method - Superposition). Using Superposition determine the displacement at C of this beam. El is constant. (Note - you must use the PE Handbook Shears, Moments and Deflection Tables. The FE handbook does not have one of these conditions) (On an exam I will make sure it is found in both the FE and the PE handbook). 60 kN 30 kN/m A C 3 m 3 m B Question 2 (Slope and Deflection - virtual work - statically determinate beam) Using virtual work determine the slope at A and the displacement at C of this beam. El is constant. Same beam as question #1arrow_forwardQuestion 4 (Force Method). Determine the reaction at the supports. Assume A is a pin and B and C are rollers. El is constant. 1.5 k A A 10 ft 10 ft B C - 20 ftarrow_forward
- Find the maximum load (collapse load) that can be carried by the simply supported beam shown below. P ↓ 3 m 3 marrow_forwardFind the maximum distributed load can be applied to the two fixed ends beam shown below. Wu L=6marrow_forwardIn excavation for a wall footing, the water table level was lowered from a depth of 1.0 m to a depth of 3.0 m in a clayey soil deposit. Considering that the soil has a water content of 28% when it is fully saturated, and above the water table the (dry) unit weight of the soil is 17 kN/m³. Assuming initially that all of the soil above the water table is dry, then compute the following: 1. The effective stress at a depth of 4.0 m after the lowering of the water table. Take Gs = 2.68. (Hints: w*Gs=Sr*e) 2. The increase in effective stress at a depth of 5 m. (You also need to plot the values of total vertical stress and effective vertical stress against depth before and after lowering the water table.)arrow_forward
- Calculate the collapse load (P) for the two fixed ended beam shown below. P 2 m 4 m L=6marrow_forwardThe vertical stress at a point in soil is σx =400 kN/m², Txz = 50kN/m² while the horizontal stress at the same point is σ =100 kN/m², Tzx = -50kN/m². (a) Draw the Mohr circle that describes the 2D stress state at the point. (b) Find the maximum shear stress that acts at the point and its orientation angle from the horizontal plane. (c) Find the principal stress (σ₁ and σ3) that acts at the point and locate the major principal stress plane and its orientation angle from the horizontal plane (Use the pole method). (d) Determine both the normal and shear stress at a plane that orientates from the major principal stress plane with an angle of 30° (counterclockwise direction) and verify your results with the stress transformation equations.arrow_forward2: A billboard 2 m high x 4 m wide is supported on each end by a pin jointed assembly (bracing not shown for simplification). Total weight of billboard is 32 kN. Given: H = 1m; Angle φ = 60⁰; q = 2.4 kPa.1. Determine the normal stress (MPa) in strut AB with crosssectional dimension 6 mm x 50 mm.2. Determine the normal stress (MPa) in strut BC with crosssectional dimension 8 mm x 40 mm.3. Determine the required diameter (mm) of pin (under double shear) to be used in A or C if the allowable shear stress of the pin is 120 MPa.arrow_forward
- A total load of 900 kN is uniformly distributed over a rectangular footing of size 2 mx3 m. Find the vertical stress at a depth of 1.0 m below the footing at point C, under one corner, and D, under the center. If another footing of size 1 m × 3 m with a total load of 450 kN is constructed adjoining the previous footing, what is the vertical stress at the corner point E at the same depth due to the construction of these two footings. k 3 m 1m 2m E 3 marrow_forwardA soil profile is shown below. If a uniformly distributed load Aσ is applied at the ground surface, what is the settlement of the clay layer caused by primary consolidation if a. The clay is normally consolidated b. The clay is over-consolidated with σzc=200 kPa c. The clay is over-consolidated with σzc=150 kPa (Take Cr 0.03 and Cc = 0.15) Ao 100 kN/m² 2 m 4 m 3.5 m Sand Clay Xtry 14 kN/m³ Groundwater table Yat 18 kN/m³ Yat 19 kN/m³ Void ratio, e 0.8arrow_forwardAn existing 4-lane freeway (2 lanes in each direction) is to be expanded. The segment length is 2 mi (3.2 km); sustained grade: 4%; design volume of 3000 veh/h; trucks: 10%; . buses: 2%; RVs: 3%; PHF: 0.95; free-flow speed: 70 mi/h (112 km/h); right side lateral obstruction: 5 ft (1.5 m); design LOS: B. Determine number of additional lanes required in each directionarrow_forward
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