The wood beam has a rectangular cross section in the proportion shown. The allowable bending stress is o =10 MPa. 500 N/m 1.5 b + x m 2 m 2 m Find the reaction forces at A. O Ax=0; Ay=1000 N O no reaction force at A O Ax=0; Ay=250N O Ax=0; Ay=-750 N O Ax=0; Ay=750 N
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- The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
- Find the shear force and bending moment at point C. 4 kip/ft A Answer: Vc = 4.8 kip (down) M = 19.2 kip ft (clockwise) 3 - 6 ft C 4 ft BConstruct the shear-force and bending-moment diagrams and identify the largest negative bending moment. Assume a-3.9 ft, b =7.8 ft, c-3.9 ft. w-1100 lb/ft, and P-3200 lb. A Answer: Mmin a W B b P TTV C lb-ft DThe wood beam has a rectangular cross section in the proportion shown. The allowable bending stress is o =10 MPa. 500 N/m 1.5 b B b + x m 2 m 2 m Find the reaction forces at B. O By = -250 N O By = 1000 N O By = 250 N O no reaction at B O By = 750 N
- Q4 A solid rectangular homogeneous section (total length = 7.2m) is simply supported, where b = 50 mm and d = 175 mm. A concentrated load F= 140 N acts at point C where L1= 4.00 m L2 = 3.20 m. Calculate the maximum bending stress and give your answer in N/mm² to 2 decimal %3D places. *Assume the weight of the beam is negligible and zero. F 200. L1 L2 b d A F B481 A Find the shear force and bending moment at points C and D. 300 lb/ft Answer: Vc = -2.11 kip Mc = -3.72 kip ft VD = 900 lbf Mp = -7.35 kip ft D 12 ft 15 ft C weights Lea... B D 3 ft 6 ft I Centroids -... 6000 lb-ft G4.4.1 Weight...The simply supported beam with following cross section is loaded with concentrated loads and uniform load as shown. Determine a) the maximum tensile and compressive bending stress if P= 150 kip and w = 10 kip/ft, and b) the allowable uniform load w if the allowable bending stress is 24 Ksi and P = 15w. 3.169 in and c 1.5 inch Draw the FBD and calculate the reaction forces and shear and bending moment diagram. Draw the stress profile. Determine the maximum bending moment and its location 0.25 in. 3 ft 3 ft -0.25 in. 3 in. 10 ft 0.25 in. 3 in. -
- The 1.5-in diameter solid steel shaft is simply supported at the ends. Two Pulleys are keyed to the shaft where pulley B is of diameter of 4 in and pulley C is of diameter of 8 in. Transverse shear stress needs to be considered. 1) Draw the bending moment diagrams of shaft AD for My and M₂, and indicate the location and the magnitude of the maximum bending moments. 10 in 200 lbf 1000 lbf 10 in 500 lbf 100 lbf 10 in F G EA beam is supported and loaded as shown. In the section of the beam between 'A' and 'B', the equation for the resisting bending moment was determined as: M₁ = -6.5x²+50x. Determine the magnitude of maximum resisting bending moment (Mr,max) in the section. Note: Do NOT include units in your answer Answer: AA BQ-5. Calculate the maximum allowable internal bending moment M that can be applied to the beam. The cross-section of a steel I beam is as shown in the figure. The allowable tensile and compressive stress values are oallowable tensile =165 MPa and %3D compressive dallowable = 150 MPa . 4 cm 30 cm 30 cm M 4 cm 4 cm