Determine the resultant. Find also the value of F and 8.
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- Q2. A steel bar of rectangular cross section is subjected to two equal and opposite couples acting in the vertical plane of symmetry of the bar. Determine the value of the bending moment M that causes the bar to yield. Assume oy=250 МРа. 3 2 3 M' M 3 Note: All dimensions are cm.The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 390 mm tw = 12 mm d = 100 mm t = 6.4 mm Additionally: • The area of each pipe is A = 1882 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is lz=171660000 mm4. If the beam will be subjected to a shear force of V = 120 kN, determine the shear stress at point H, located at yμ = 100 mm above the z centroidal axis. H Hv K Answer: TH= X MPa Ун Ук K Iv. Consider the following wooden T-beam on its side. It consists of two wooden parts glued together. Assume the glue nas a perfect bond. The densities of the two wooden parts differ and are indicated on the figure. The figure is not to scale. y Pq = 900 kg/m %3D 17 mm P2 = 740 kg/m? 20 mm 150 тm Determine the a-coordinate I of the center of mass of the T-beam. 90 mm
- A steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The cross-sectional area of the rod is 50 mm². Neglect the size of the couplings at B, C and D. Calculate the change in length of segment BC when F₁ = 4.1 KN, F₂=2.3 kN and F3 = 9.6 kN. Input your answer as a value only in mm to two decimal places without +/-sign. 1 m 1.5 m -1.25 m- A F₁ B F₂ DF3A steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The cross-sectional area of the rod is 50 mm². Neglect the size of the couplings at B, C and D. Calculate the change in length of segment BC when F₁ = 4.1 kN, F₂=2.3 kN and F3 = 9.6 kN. Input your answer as a value only in mm to two decimal places without +/-sign. 1 m 1.5 m 1.25 m D F3 A F₁ B F₂ CA steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The cross-sectional area of the rod is 50 mm². Neglect the size of the couplings at B, C and D. Calculate the displacement of the rod at D when F₁ = 2.8 kN, F₂ = 4.3 kN and F3 = 7.3 kN. Input your answer as a value only in mm to two decimal places without +/-sign. 1m 1.5 m 1.25 m C F2 D F3 A F₁ B
- For the beam shown in the figure determine the following: (El = constant) a. value of El0 at A b. value of El0 at C c. value of Elő at B d. value of Elő at D 300 N/m 1800 N-m 2 m - 2 m 2 m- -2 mThe bear cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 390 mm tw - 14 mm d = 100 mm t = 4.8 mm Additionally: • The area of each pipe is A = 1436 mm². • The moment of inertia of the entire bear cross section about the z centroidal axis is lz=140920000 mm². If the bearn will be subjected to a shear force of V = 170 kN, determine the shear stress at point H, located at y = 100 mm above the z centroidal axis.The 16 x 22 x 25-mm rubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 238 N causes the upper frame to be deflected downward by 4 mm. Determine the shear modulus G of the rubber blocks. Double U anti-vibration shear mount 25 Rubber block dimensions Shear deformation of blocks O 0.745 MPa O 0.883 MPa O 1.140 MPa
- The coplanar force system shown in the Figure below consists of three forces 90 N, P1 and P2 (in Newton), and one couple. Determine the equivalent force-couple system with the force acting at point O. Resultant of all forces and its direction Resultant couple * Consider P1 = 100 + last digit of your student ID * Consider P2 = 50 + last digit of your student ID Free body diagram & direction of the Resultant are required P2 (N) 90 N 40 40 N m 400 mm 300 mm 800 mm P1 (N) 009• The three steel bars shown in the figure are pin connected to a rigid member. If the applied load on the member is 15 kN, determine the force developed in each bar. Bars AB and EF each have a cross- sectional area of 50 mm2, and bar CD has a cross-sectional area of 30 mm?. Take Est = 200 GPa. B D F 0.5 m E - 0.4 m- 0.2 m 0.2 m 15 kNDetermine the magnitude of the resultant force (in N) of the coplanar force system shown in the figure below where the horizontal force P = 210 N and the couple M = 527 Nm. 90 N 250 mm 150 N 400 mm M&N•m A 300 P