2. For the beam shown, determine the following: a. Maximum tensile stress in the beam. b. Maximum compressive stress in the beam. 200 mm M(1) kN/m 30 mm G(1) kN/m 310 mm 30 mm L(2) m -L(1) m 30 mm
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G=5
M=9
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- The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 28 MPa, Sy = 28 MPa, and Sxy = 37 MPa. Assume β=tan−1(ba)=21.8∘β=tan-1(ba)=21.8∘, a = 5, and b = 2. Using the equilibrium equation approach, determine the normal and shear stresses σσ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.From the given figure below and its properties, calculate the stress at the top where at the fixed end. (MPa) Properties: Beam width = 274 mmBeam height = 419 mmWLL = 8.86 kN/mWDL = 12.6 kN/mPu = 7 kNSpan of the beam = 8 mPrestressing force = 399 kNeccentricity = 127 mmA large uniform cylindrical steel rod of density ρ = 8.8 g/cm3 is 4.0 m long and has a diameter of 5.0 cm. The rod is fastened to a concrete floor with its long axis vertical. What is the normal stress in the rod at the cross section located at (a) 2.0 m from its lower end? (b) 2.5m from the lower end? Your answer
- A short post constructed from a hollow circular tube of aluminum supports a compressive load of 250 kN (see figure). The inner and outer diameters of the tube are d1 = 9cm and d2 = 13cm, respectively, and its length is 100 cm. The shortening of the post due to the load is measured as 0.5 mm. Determine the compressive stress. (Disregard the weight of the post itself, and assume that the post does not buckle under the load).The stresses shown act at a point in a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 MPa, Sy = 29 MPa, and Sxy = 26 MPa. Assume β=tan^−1(b/a)=23.2∘, a = 7, and b = 3. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and ττ (magnitude only) at this point on the inclined plane shown.Topic: Strema A 750-mm high cylinder carries a load P which produces a normal stress at its cross-sectional area and a shear stress at its lateral surface area. Find its diameter if these stresses are equal. Choices: A. 3.0 m B. 4.5 m C. 1.5 m D. 6.0 m
- Problem # 4: The tank shown is fabricated from steel plate. Determine the minimum thickness of plate which may be used if the stress is limited to 42 MPa and the internal pressure is 1.5 MPa. USING BOTH TANGENTIAL AND LONGITUDINAL STRESS FORMULA.SHOW COMPLETE SOLUTION AND SKETCH THE ILLUSTRATION A cylindrical tank 6.7 m in diameter is made from steel plates that are 12 mm thick. Find the maximum height to which the tank may be filled with wine with density 720 kg/m3 if the circumferential stress is limited to 41.4 MPa.A 5m diameter open cylindrical tank 12 m high contains water. It is made of steel 18mm thick. a) what is the maximum circumferential stress when its full of water? b) What is the longitudinal stress near the bottom when it's full of water? c) what depth of water will make the circumferential stress 10 MPa.
- Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the normal stress in each rod must be limited to 107 MPa, determine the minimum diameter (in mm rounded to the nearest hundredths) required for rod 2. Assume P = 80 kN and Q = 140 kN.A tall open-topped standpipe has an outside diameter of 2194 mm and a wall thickness of 9 mm. The standpipe contains water, which has a mass density of 1,000 kg/m3. What height h (in m) of water will produce a circumferential stress of 57.23 MPa in the wall of the standpipe? (Weight density = mass density × 9.81 m/s2) . Round off the final answer to five decimal places.A rectangular column 200×400mm is subjected to a compressive loads of 500Kn as shown in fig. Determine resultant stress at all corners of the column