3: A steel pole is used to hold a triangular banner as shown. At its base, there are 8 bolts spaced equally around a bolt square. The corner bolts (1, 3, 8, 0) have a diameter of 25 mm each while the center bolts (2, 4, 5, 6, 7, 9) have a diameter of 10 mm each. The shear modulus of the pole is 80 GPa. If the wind pressure is W = 9.3 kPa, determine the following:
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- find the longitudinal strtain experienced by the strut it width is 8mm and height is 20mmA hollow steel crank has an outside diameter of 26 mm and an inside diameter of 21 mm. The load magnitudes are Py = 690 N and Pz = 270 N, and the length dimensions are a = 145 mm, b = 399 mm, and c = 261 mm. Determine the magnitudes of the equivalent forces and the equivalent moments that act at the section that contains point K. (a) Axial force in x direction Px (N (b) Shear force in y direction Vy (N (c) Shear force in z direction Vz (N (d) Torque around x axis Tx (N·m) (e) Bending moment around y axis My (N·m) (f) Bending moment around z axis Mz (N·m) Calculate the section properties for the hollow crank at K. (g) Area A (mm2) (h) Polar moment of inertia J (mm4) (i) Area moment of inertia Iy (and Iz) (mm4) (j) QK (for shear force in y-direction) (mm3) Using the sign conventions, determine the normal and shear stresses that act at K and show these stresses on a stress element. (k) Normal stress in x direction σx(MPa) (l) Normal stress in y direction σy(MPa) (m) Shear stress in x-y…Solve the problem 6
- An aluminum pole for a street light weighs4600 N and supports an arm that weighs 660 N (seefigure). The center of gravity of the arm is 1.2 m from theaxis of the pole. A wind force of 300 N also acts in the (-y)direction at 9 m above the base. The outside diameter ofthe pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressivestresses σt and σc, respectively, in the pole (at its base)due to the weights and the wind force.. A two cell tube made of Aluminum (E = 70GPa) as shown the Fig (2) and subjected to a Torque 90000 N.cm. The shear flow (q1 and q2) of the two cell are; il mm 1 mm a. q1-5563.41N/m, q2-3977.78N/m b. q1-3218.54N/m, q2-4321.65N/m c. ql-1212.43N/m, q2=1218.98N/m d. None of the above 2 11 mm -35 cm Fig.(2) 1.5 10Problem: The steel pipe has an inner diameter of 2.75 in and an outer diameter of 3 in. The pipe is fixed to the ground at C, and a wrench is attached to the opposite end. The wrench is subjected to a horizontal force of 20 lb that acts in -z direction. Points A and B are located on the surface of the pipe at the same cross section. Note that A lies directly above the -y axis, and B lies directly above the +z axis. 20 lb 10 in. A B y 12 in. (a) Find the normal and shear stresses at points A and B. (b) Find the principal stresses at points A and B. (c) Show all stresses from parts (a) and (b) on properly oriented elements, relative to the given coordinate system.
- A lifeboat hangs from two ship’s davits, asshown in the figure. A pin of diameter d = 0.80 in.passes through each davit and supports two pulleys,one on each side of the davit.Cables attached to the lifeboat pass over the pulleysand wind around winches that raise and lowerthe lifeboat. The lower parts of the cables are verticaland the upper parts make an angle α =15° with thehorizontal. The allowable tensile force in each cableis 1800 lb, and the allowable shear stress in the pinsis 4000 psi. If the lifeboat weighs 1500 lb, what is the maximumweight that can be carried in the lifeboat?The length of the smooth circular shaft with a solid cross-sectional area of 315nm2 is 1 meter. Instead of this shaft, it is desired to use an evacuated circular-section shaft with a wall thickness of 3 mm with the same length and weight. For these two cases, compare the angles of rotation that would occur if a moment M = 600 (N.m) was applied to the end of the shaft made of material G-80 GPa.A standard truck moves across a 25- meter span. The wheel loads are P1-36 kN and P2=142 kN separated by 4.3 m and P3=142 kN at 7.6 m from P2. Calculate the maximum shear. O 156.54 KN O 204.16 KN O 259.7 KN O 1409.7 KN
- Rope BCA passes through a pulley at point C and supports a crate at point A. Rope segment CD supports the pulley and is attached to an eye anchor embedded in a wall. Rope segment BC creates an angle of ø = 64.0 ° with the floor and rope segment CD creates an angle 0 with the horizontal. If both ropes BCA and CD can support a maximum tensile force Tmaz = 165 lb. what is the maximum weight Wmar of the crate that the system can support? What is the angle e required for equilibrium? Express your answers numerically in pounds and degrees to three significant figures separated by a comma. • View Available Hint(s) nν ΑΣφ vec Wmax.0 = lb, degreesA 150 mm x a mm x 20 mm steel plate is subjected a pull of 150 kN along its central axis as show in figure. A hole of 40 mm diameter is drilled in the plate whose center is 50 mm alway from central longitudinal axis. Calculate the max stress in the plate. 20 min 40 min 40 nun 75 mm 50 mm 150 kN I50 km 75 mmDetermine the torsional shear stress in the shaft section AB and BC. There is a fixed support at C that can resist a moment. (Image taken from Statics and Mechanics of Materials by Beer, Johnson, DeWolf and Mazurek) T₁ = 300 N-m 30 mm TB = 400 N-m 46 mm 055 Shear Stress in AB = Shear Stress in BC= B 0.9 m 0.75 m units: units: