The external loads on the element shown below at the free end are F = 1.75 kN, P = 9.0 kN, and T = 72 Nm. The tube's outer diameter is 50 mm and the inner diameter is 45 mm. Given: A(the cross-sectional area) is 3.73 cm², Moment inertial I is 10.55 cm4, and J polar moment inertial is 21.1 cm4. Determine the following. (1) The critical element(s) of the bar. (2) Show the state of stress on a stress element for each critical element. -120 mm- F
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- The steel box wrench (E=29,000ksi, v=0.32) is loaded with a 40-lb horizontal force and a 25-lb vertical force. Find the following for an element located at point B on Section a-a: 24 in. 1. The non-vanishing resultant internal moments on section a-a are which of the following? 4 in. a. (160 i- 600 j+960 k)in · Ib b. (-160 i+600 j+960 k ) in · lb c. (-960 i+160 j+600 k)in - lb d. (-960 i -160 ј-600 k)in-lb a e. none of the above 2. The normal and shear force components on section a-a are: a. V, = 65lb;V, = 40lb; N¸ = 25lb b. V, = 0;V, =40lb; N, = 25lb c. V, = 64;V, = 25lb; N, = 40lb d. V, =0;V, =-40lb; N¸ = -25lb e. none of the above 3. The non-vanishing stress components at point B are: 0̟ =1.60; t =-4.89ksi; а. 0, =-4.89; 7 =3.60ksi; 0, = 2.50ksi; T, d. o, = 4.91ksi; t =-4.89ksi; b. с. =-4.89ksi; е. none of the above 4. The principal stresses at point B from most tensile to most compressive are: O1,02,0; =4.16,–0.8,–5.76 b. o,,0,,0, =5.76,0,–4.16 а. O1,02,0; =1.9,-2.45,-6.8 с. d.…The uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.The structure in Figure Q4 is made of two members, AB and BC, both made of metal with a Young's Modulus E = 110.41 GPa. Member AB has a rectangular cross-section, whose sides measure a = 35 mm, and b = 81 mm. Figure Q4 Calculate the Second Moment of Area of member AB with respect to its strongest orientation. Use π = 3.14159 in your calculations if needed. Express your answer in the unit: mm4. Report your answer to 2 decimal places.
- the bent bar AB weighing 10lb/ft is mounted as shown in figure 2 upon a carriage weighing 250 lb. The center of gravity of the carriage is at C midway between the wheels. If P=108lb and there is no frictional resistance at the wheels, find the wheel reaction R1. find the vertical component of the hinge force at A. find the horizontal concept of the hinge force at A.What is the norminal force, N in kilo Newtons(kN). What is the shear force, V in kilo Newtons (kN). Find the bending moment, M in kilo Newton metres (kNm).As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are aaa = 620 mmmm and bbb = 400 mmmm , and the bar is subjected to a force with magnitude FFF = 5.05 kNkN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle θθtheta?
- A square plate with sides 1.5 m in length can rotate around an axle passing through its center of mass (CM) and perpendicular to its surface (see figure below). There are four forces acting on the plate at different points. The rotational inertia of the plate is 16 kg - m². Use the values given in the figure to answer the following questions. (Assume 0 = 40°. Express your answers in vector form.) 30.0 N 60.0 N CM 20.0 N 40.0 N (a) What is the net torque acting on the plate?A folding tray mechanism is attached to a wall as shown. Find the internal forces and bending moment in the lower support arm at section s-s, located midway between points B and E, when a force of F = 270 N is applied at an angle of 0 = 28°. 2013 Michael Swanbom Ⓒ030 BY NC SA k s -Ś a b G с h₁ h₂ ка E S- B Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 16 cm 19 cm 25 cm 23 cm 17 cm The internal axial load at section s-s is A = The internal shear load at section s-s is V = The internal bending moment at section s-s is M = N. N. C. N-m. 0Consider the pendulum shown in the figure. Calculate: y r," А A' 0.5h" B' h" t" r2 C C' COLLAPSE IMAGES li = 0.2 in r2 = 1.2 in h = 4 in t = 0.1 in The moment of inertia about the y axis. in4 ENTER The moment of inertia about the x axis. in4 ENTER The moment of inertia about the AA' axis. int ΕΝTER
- 6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire AD is made of copper. Assume that the three wires have constant cross-sectional area A = 0.0123 in?. For steel wire, a = 8 x 10 in/ (in°F ) and E = 29000 ksi and for copper wire, a = 9.6 x 10 in/ (in°F ) and E = 17000 ksi. Calculate the axial force exerted by the three wires if the temperature is raised by 80°F. Answer: Pu= 10 Ib, Pu= 136 Ib 40 in. 60 in. 45°. -45° 60 in. V150 Ib1. Determine the member forces (in kN) of AC (ANSWER: 50) and AD (ANSWER: 0). 2. Determine the member forces (in kN) of DE (ANSWER: 40) and GI (ANSWER: 0).2-16. 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 – 16