Q. After a puncture a driver is attempting to remove a wheel nut by applying a force of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace is a hollow steel tube (see section aa) of internal diameter r mm and external diameter q mm. wheel nut n Position S P m a r 9 Section aa Fig, 1 (a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear force in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress at position S. Note that the shear force will not produce any shear stress at S. (c) Calculate the maximum shearing stress in the brace at position S using the Maximum Shear Stress Criterion. 2 Mechanics of Materials 2 Tutorials Portfolio: Exercise 5 (d) If the maximum permissible shear stress in the steel is 200 MPa, determine the maximum torque that can be applied by the brace without the risk of failure at S.

A sign of weight W is supported at its base by four bolls anchored in a concrete footing. Wind pressure P acts normal to the surface of the sign; the resultant of the uniform wind pressure is force fat the center of pressure (C.P). The wind force is assumed to create equal shear forces F/4 in the y direction at each boll (see figure parts a and c). The overturning effect of the wind force also causes an uplift force R at bolts A and C and a downward force (— R) al bolts B and D (see figure part b). The resulting effects of the wind and the associated ultimate stresses for each stress condition are normal stress in each boll (h — 60 ksi); shear through the base plate (th = 17 ksi); horizontal shear and bearing on each bolt ( tfur = 25 ksi and cr^ = 75 ksi): and bearing on the bottom washer at B (or D) (abor = 50 ksi).

Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

Values are m= 360mm n= 375mm q= 24mm r= 18mm P= 0.6kN

A link of a valve gear has to be curved in one plane, for the sake of clearance. Estimate the maximum tensile and compressive stress in the link if the thrust is 2500 N. (Cam bridge) ANSWER: maximum tensile 38.0 MN/m2; maximum compressive 46.0 MNIm2.   Please show the solution to get the answer.

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy

A 4-cm-OD, 3-cm-ID, circular shaft supports a 200 N load and is supported at two points, which are 2-m apart as shown here. What is the radius of curvature of the bending shaft when it is made of a material whose modulus of elasticity is 50 GPa? Multiple Choice O O O O 1087 m 5 m 432 m 65 m

A solid cantilevered aluminum alloy rod, 10-mm in diameter, supports a Parol (Christmas Lantern). The hanging Parol subjects the rod to a bending moment of 10.2 Nm along the x-axis, as well as Torque (T) at its fixed end (Section B). If the yield strength oYield in tension of the aluminum alloy is 103.9 MPa at point n of Section B, what is the maximum torque the rod can carry under the maximum distortion-energy theory (MDET)? L aluminum rod Figure 1A Y B cross-section of the rod Figure 1B Image is from Parol clipart 2 Clipart Station

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Could someone show me how to this this problem? Thank you in advance!