Q15. The rigid bar is supported by steel rods (E = 200,000 MPa) (AB, CD and EF) and hinge as shown in the following figure. The cross section of the steel rods is 250mm2. If the deformation of point M is 0.05mm, please determine the concentrated force F.
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- Below Figure shows the section of an angle purlin. A bending moment of 60 5 kN.m is applied to the purlin in a plane at an angle of 30 deg to the vertical y axis. If the sense of the bending moment is such that both its components Mx and My produce tension in the positive xy quadrant, calculate the maximum direct stress in the purlin, stating clearly the point at which it acts. * 100 mm BỊ 10mm 30° C ID 10mm 57 MPa. 89 MPa. Non Above 72 MPa. 125mm2-16. The tapered steel bar shown in the figure is cut out from a steel plate 25 mm thick and is welded at the top to a rigid structure. Find the deflection of the end A caused by the force of 40 kN applied at B. Consider the origin of the coordinate axes at the point of intersection of the sloping lines. E = 210 GN/m². Ans: 0.093 mm. 150 mm 1.5 m 40 kN B 1.5 m 50 mm PROB. 2 – 16F2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A section
- Question 3 Determine the elongation of the square hollow bar when it is subjected to the axial force P = 100 kN, find the permanent elongation of the bar. The bar is made of a metal alloy having a stress-strain diagram which can be approximated as shown. o (MPa) 500 600 mm P 50 mm 250 5 mm e (mm/mm) 0.00125 0.05 50 mm ´5 mm a. Find the stress (MPa) of the bar. b. Find the permanent elongation (mm) of the bar.BD rod made of G1 = 78 GPa with a diameter of 27 mm attached to the CA tube at point B, the tube made of G2 = 133 GPa had an outer diameter of 59 mm and a wall thickness of 10 mm. If T1 = 935 Nm and T2 = 1683 Nm, answer the following questions: 1- It is the polar inertial moment of the bar BD. 2- Maximum shear stress BD. 3- It is the polar moment of inertia of the CA tube. 4- It is the maximum shear stress BD. 5- It is the maximum shear stress of the CA tube. 6- It is the maximum shear stress of the assembly. 7- is the torsion angle between D and B. 8- It is the torsion angle between C and A. -9 is the torsion angle at D. 10- is the torsion angle between C and B. 11- is the reaction at point A.If a solid circular rod having an initial diameter D = 0.03 m and initial length L = 0.8 m, is subjected to a tensile force F = 300 kN, the new diameter will be: Given: The rod is made of steel having Young's modulus E = 200 Gpa and a Poisson's ratio = 0.3. Select one: a. Df= 2.993 mm Ob. Df = 10.92 mm Oc. Df= 3.007 mm Od. Df = 30.02 mm Oe. Df = 29.98 mm
- Let's consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.995 mm. determine the applied force F. Select one: O F=15708N O F= 10472 N O F=5236 N O F= 13090 N O F=6283 N O F=4189 NFigure below shows the bar with three equal elements. Use the finite element method and calculate: 2.1 the global stiffness matrix 2.2 the displacement on node 2, 3, 4 2.3 the Strain in each element 2.4 the stresses in each element using Hook's law and compare with theoretical stresses (o=F/A) (1) (2) (3) -50 N 10 mm 10 mm 10 mm A1=50 mm? A2=20 mm? A:=10 mm? E=200 GPaA steel cylinder bar is attached to the top end as it is subjected to three axial forces as shown in the figure. The rod diameter is 10 mm and the steel modulus of elasticity is 200 GN. Determine the total deformation in the steel rod. Use the last two digits of your ID for force F1. ID No. F1 = 30N 25 cm F,=? = 30N 15 cm 10 cm F;= 400 N F;=800 N
- The assembly consists of three titanium (Ti-6A1- 4V) rods and a rigid bar AC. The cross-section area of each rod is given in the figure. If a force of 60 kip is applied o the ring F, determine the horizontal displacement of point F. Hint: Refer to the textbook appendix for material properties. AEF 2 in² 1 ft = 60 kip F-2 ft- 2 ft A C 6 ft B AAB = 1 in² E ACD = 1.5 in² 6 ft Da=2.1m (1) c = 2m b = 3.1m d = 1.8m P = 80 kN WHAT IS THE AXIAL STRESS IN ROD 1 ? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES B dia. of rod 1: = 13mm dia of rod 2 = 11 mmClear my choice Let's consider a rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E= 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: O F= 5236 N OF=15708N O F= 13090 N OF=10472 N OF=4189 N O F=6283 N Clear my choice Finish attempt NEXT ACTIVITY MENG360 Test -Spring 2020-2021 Jup to