7-6 The beam of Fig. P7-6 is made of a material that has a ten sile and compressive yield strength of 200 MPa. Determin the maximum resisting moment that the beam can support yielding must be avoided. -100 mm 50 mm 200 mm 37.5 mm
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- 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).A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). The logs arc Douglas fir with an average diameter 300 mm. A truck moves slowly across the bridge, which spans 2.5 m. Assume that the weight of the truck is equally distributed between the two logs. Because the wheelbase of the truck is greater than 2,5 m, only one set of wheels is on the bridge at a time. Thus, the wheel load on one log is equivalent to a concentrated load W acting at any position along the span. In addition, the weight of one log and the planks it supports is equivalent to a uniform load of 850 N/m acting on the log. Determine the maxi mum permissible wheel load W based upon (a) an allowable bending stress of 7.0 MPa and (b) an allowable shear stress of 0.75 MPa.The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.
- 3. A 3-meter-long beam is used to support a heavy object. The object has a uniform distributed load of 6 kN/m on the entire beam. The Young’s modulus and moment of inertia of the beam are 200 GPa and 5×105 mm4, respectively. The beam is supported at three positions as shown below. (a) Label the element and node numbers (either on the figure or with a new simple sketch). (b) Determine the slopes at the three support positions of the beam.ts=600g, TL=18pounds , angle=780degree ,can you please find the solution and free body diagram9-18 A rectangular vertical member fixed at the base is loaded as shown in the figure. Find the location for a gage on member face AB such that no longitudinal strain would occur due to the application of force P = 6 kN. Does the answer depend on the magnitude of force P? Assume elastic behavior. All dimensions are given in mm.
- For the simply supported beam carrying the concentrated load P = 268 N at its midspan, determine the magnitude of the maximum displacement (in mm) if d = 1.51 m, E = 11.77 GPa , and I =1679930mm4. NOTE: PLEASE ANSWER IT CORRECTLY. IF YOU ARE NOT SURE ABOUT THE ANSWER, PLEASE SKIP THE QUESTIONPLEASE BOX THE FINAL ANSWER(S)THANK YOU! image below for reference17-37. An inclined steel bar 2 m long, having a cros section of 4000 mm² and an I of 8.53 x 10 mm, is supported as shown in the figure. The inclined steel hanger DB has a cross section of 600 mm". Determine the downward deflection of point C due to the application of the vertical force of (2.SQRT(2)) kN. Let E = 200 GPa.Prob # 3. Find the torsional deflection of a solid steel shaft 100 mm in diameter and 130 mm long subjected to twisting moment of 3 x 106 N-mm. The torsional modulus of elasticity is 80,000 N/mm2. a. 122 deg b. 285 deg c. 0.234 deg d. 0.543 deg
- For the following structure, represent Mohr's Circle at point K of the structure and pointSection P, demonstrating the following steps:a) Effort diagram;b) Calculation of the geometric properties of the section; θ= 10thq=61kN/mV= 51kNN=48kNh1 = 221 mmb1=221 mmh2=t=21 mThe beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m? Use the integration methodSolve the preceding problem using the fol low-data: W 8 × 21 section, L = 84 in., P = 4.5 kips, a = 22.5°.