Coursework No 4 w=200 N/m L=10 m Fig. P7.32 A W L2 B L 2 C 7.33 and 7.34 For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment. P=1000 lbs L=20 ft Mo= 500 lbs-ft Fig. P7.33 Fig. P7.34 L 22 B A M₁ = PL 22 Мо C B Fig. P7.40 A 4 kips/ft C D 5 ft 2 ft 8 kips 2 ft 8 kips P=1000 N a= 2m b= 6m L=8m Fig. P7.29 P A B L b C
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- P1= 100KN A=4A beam has the singly symmetrical, thin walled cross section shown in Fig. P.10.9. The thickness t of the walls is constant throughout. Show that the distance of the shear centre from the web is given by p² sin a cos a Z5 =d- 1+6p+2p³ sin² a where p=d/hA continuous string ABCDE, shown in Fig.Q2., passes over smooth pegs at B and D, 10 in, on centers. Q2. To the ends of the string are attached the weights WA = 7 lb. and WE = 5 lb. A 10-lb. weight is attached at C and the three bodies are in equilibrium. Determine the distance L and the angle a. 10" C. a Fig.Q2 WE 10 WA lb.
- Determine the force P exerted on the twig G. Note that there is a horizontal line of symmetry for the handles, but there is no line of symmetry for the jaws. 6 mm 12 mm Answer: P = G E D 35 24 20 mm mmmm 27 N -76 mm- A B 27 N N11.103 Members of the truss shown consist of sections of aluminum pipes with the cross-sectional areas indicated. Using E = 70 GPa, deter- mine the vertical deflection of joint D. Members AB, AC, AD, and CE: A = 500 mm²; other members: A = 1000 mm². 40 kN E 1.5 m Co 0.6 m B | A -0.8 m→-0.8 m- Fig. P11.103621. Determine the value of Elò midway between the supports for the beam shown in Fig. P-621. Check your result by letting a = 0 and comparing with Prob. 606. (Apply the hint given in Prob. 620.) Wo p L a a R₁ Figure P-621 R₂
- 9.37 The product of inertia of triangle (a) with respect to its centroid is T, --b'h72. What is 7, for triangles (b)–(d)? (Hint: Investigate the signs in the expression 7, - 1, – Aīỹ.) (a) (b) (e) Figure P9.37 (4)6.145 The pliers shown are used to grip a 0.3-in.-diameter rod. Knowing that two 60-lb forces are applied to the handles, determine (a) the magnitude of the forces exerted on the rod, (b) the force exerted by the pin at A on portion AB of the pliers. 1.2 in. 30° A Fig. P6.145 9.5 in. 60 lb B C 60 lbQ3| For the beam shown in Fig. (3); ( El is constants): A- Compute the slope of the elastic curve over the supports; B- Determine the deflection midway between supports and the deflection of the free end. 800 N 800 N/m Fig. (3) 1 m 2 m 1 m R1 R2
- D 4 m 2 m 1.5 m 2.5 m 2 m 1m 0.5 m B The assembly above consists of straight members forming a pyramid structure, as shown. The unit vectors for members AC and AD are as follows: UAc = {0.707i - 0.707j} • UAD = {0.530i + 0.848k} %3D Which of the following is closest to the angle between members AC and AD? a) 74.3° b) 1.19° c) 68.0° d) 90.4°Determine the magnitudes of the maximum tensile and compressive normal stresses on the transverse plane B-B in the straight portion of the structure shown in Fig. P7-184. The member is braced perpendicular to the plane of symmetry. 100 mm 50 mm 75 mm 50 mm H Section B-B -150 mm ANSWER: OL= 25.9MPa,oR= -28.5 MPa 3 4 50 KN -750 mm B C 1200 mm D BQ3) Determine the moment of the force about point O. show in Fig (3) Neglect the thickness of the member? 40 N 30 N ik -100 mm- 45 200 mm -100 mm 50 N 60°