A bar of 80 mm diameter and 800 mm Length is subjected to an axial load of 200 kN. It elongates by 0.30 mm and the diameter decreases by 0.01 mm. What is the Poisson's ratio of the material of the bar?
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- PROBLEM 1: The homogeneous structure shown weighs 21.45 kN per square meter of cross-section. The structure is subject to horizontal uniformly distributed load P1 and triangularly distributed load P2 perpendicular to side AB. Given: H1 = 9 m; H2 = 6 m; H3 = 12 m X1 = 6 m; X2 = 5 m P1 = 220 kN/m; P2 = 280 kN/m 4 Magnitude of resultant, R 4314.04 5 Angle of resultant direction from x-axis, θx 86.01 6 Distance of resultant from C measured along line CD, X 9.116What is the resultant of the distributed load with a uniform load of 3 kN/m? a.12 kN b.18 kN c. 6 kN d. 12 kN/mA dam rectangular in cross – section with upstream face vertical. Water is 20.4 m deep on the upstream side. The dam is 23.2 m high and 14.8 m wide at the base and weighs 2310 kg/m3. Coefficient of friction between the base and the foundation is 0.85. Compute the factor of safety against sliding. a. 3.85 b. 2.67 c. 3.24 d. 1.45
- I want Normal stress developed in segment AB. A homogeneous bar with a cross-sectional area of 400 mm2 is attached to fixed supports as shown inthe figure. It is subjected to lateral forces P1 = 20 kN and P2 = 50 kN. Determine the normal stressdeveloped in segments AB and BC. Answer: σAB = 80.55 MPaPROBLEM 1: The homogeneous structure shown weighs 21.45 kN per square meter of cross-section. The structure is subject to horizontal uniformly distributed load P1 and triangularly distributed load P2 perpendicular to side AB. Given: H1 = 9 m; H2 = 6 m; H3 = 12 m X1 = 6 m; X2 = 5 m P1 = 220 kN/m; P2 = 280 kN/m Required Answer Equivalent force of uniform load P1 1980.00 Total weight of the structure, W 3603.60 Horizontal component of the resultant, Rx 300.00A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters equal to 40 mm and 60 mm. (a) What is the largest torque which may be applied to the shaft if the shearing stress is not to exceed 120 MPa? (b) What is the corresponding minimum value of the shearing stress in the shaft?
- A 5-m simply-supported beam supports a uniformly distributed load equal to 40 kN/m applied throughout the beam. What is the maximum flexural stress if the beam has a rectangular cross-section with b = 300 mm and h = 600 mm? (in MPa) answer in 3 decimal placesA triangular plate with height 4 ft and a base of 6 ft is submerged vertically in water so that the top is 3 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 lb/ft3.)Determine the capacity of a Soil Anchor that has the following characteristics. Shear Strength of soil=2,650 psf, Length=30 ft., Diameter=8”, FOS=1.5
- A masonry dam (sp.gr. = 2.4) of trapezoidal cross-section is 20 m high. It has a thickness of 2 m at the top and 14 m at the bottomas shown in the figure.Coef. of friction under the foundation is 0.80 and assuming there is hydrostatic upliftthat varies linearly from one-half the hydrostatic head at the upstream edgeof the dam to zero at the downstream edge.DetermineThe figure below shows a semi-conical buttress. Calculate the components of the total force acting on the surface of this semi-conical buttress. The answer is FH = 101.5 Kn and FV = 79.7 Kn (please show how this final answer is obtained).Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft. Figure 10.43