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- Q4. SHAFT DESIGN A simple shaft is subject to torsion, T, and bending, M. M M- T (a). Draw Mohr's circle for a stressed element on the surface of the shaft. (b). Given the following properties: M T Z, Z, = 2Z Z P. Show that the input forces add as vectors to generate tmax as follows: VM? +T² |M² +T² = máx Z,1. - solve the nodal displacements and reaction forces: Al 20 kN/m 20 kN/m 20 kN/m 20 kN/m 5 kN ww Nomforces about point Oof the cases below F = 500 N p.125 m, 0.3 m- 60 0.25 m F = 600 N
- ZAIN IQ 15 ull 36 zain 1Q Q1: MO =s 400 Ib F1= 400 F2 = -600 k F3 = 500 sin 45 i-500 cos 45 k Y600 lb M- rxF,, M, r2x F, M,- r3xF, M-M, + M, + M, 500 lb :س 2 15m P-08 kN T-12 AN 3m Determine the x-, y, and z- components of T. Determine the angles which the line of action of T forms with the positive x, y, and z-axes. Calculate the projection of P onto a line between d and F and determine the angle between P and AF. - Determine the vector expression for the moment of P about point E اضف ملف يقدم .لا ترسل كلمات السر عبر نماذج جوجلConsider a long cylindrical solid rod - total length L - mass density p; - radius R1 = R2 = R; suspended from the top and hung freely downward along the (-1)Ž direction; - subjected to gravitational pull from the ground in the (-1)Ź direction. R2 +Z Z = h R1 Z = 0 a) Calculate the longitudinal stress o within the rod as a function of h; b) Repeat the calculation ifR| turns into a cone); = 0 and R2 = R (i.e., when the cylindrical rod c) Based on your answers to a) and b), provide some reasoning as to why a space elevator would not work [hint: think about the rod as the load bearing element of the space elevator].(b) Figure Q1 (b) shows a thin disc mounted on a shaft between two bearings. The thin disc density is not perfectly uniform because it not perfectly manufactured. The thin disc perfectly mounted on the shaft. The thin disc centre of mass is not the same as the centre of rotation. Consider the unbalance thin disc mass (m), centre by a distance (e) and the shaft rotates at a speed (w). The thin disc attached LL meter from left bearing and LR from right bearing. (i) Find the reaction force on the left bearing, FL. (ii) Calculate the reaction force on the right bearing, FR.
- 3.12 The stress matrix referred to axes Px,x,x3 is given in ksi by 14 21 [o,]- 0 21 21 Let rotated axes Px,x,x, be defined with respect to axes Px,x,x3 by the table of base vectors ê, ê, 2/7 3/7 6/7 3/7 -6/7 2/7 6/7 2/7 -3/7 (a) Determine the stress vectors on planes at P perpendicular to the primed axes; determine tei), te2), and tes) in terms of base vectors ê,, ê, , and ê, .The displacement in x at node 2 is -0.536 mm. If the applied force is increased to -400N, what will the new displacement be? Present your working clearly F = -200N 2 EA/L 45° EA/L y 1 SCDEFGH is plate with a circular hole in it and has a unit weight p = 2 kN/m². If the initial length of the spring is 1m, find the stretched length of the spring attached at C to the given system. The stiffness of the spring id k-50 kN/m. p H 0 2 m Lütfen birini seçin: D A. 1.6019 m B. 1.8258 m C. 2.0480 m D. 2.2694 m E. 1.3727 m F. None of the above X 2 m 2 m G 2 m F E 3m 1m
- A topoView | USGS .. 7 / 16 + 100% 4-7 3)Find the true magnitude and direction of the forces in each member AC,CD Fig4.3 D. 6' +y 8' --- -- -- -- -- A 30° +x -1000lb Fig4.3 hpQ1 -B- Draw just the Free Body Diagram of the following figures. 30 kN/m Fig. (2) A -3 m Fig. (4) 4 kN/m + 3 m 8 kN/m 4 m -3m- 10 kN/m 3 m 2 kN/m B macam? Fig. (3) Fig. (5) N/m 3 m 3 m -3m 3 m- 80 kN/m -3 m-(1) IN Z 60 in B cord ले Q=ib 70 in 10 insi C In cord 42 (W = TBD A 1 16 45 in P = 42 16 Q = 54 16 x A block of weight W is suspended by two cords, AC and BC, shown, and forces P (in the x direc) and Q (in the z direc) are exerted at C. Find the weight W of the block, and the fensions TAC and Ter in the two cords. Ас BC