Draw the free-body diagram for the portion of machine structure shown in Figure 1. Determine the reactions at the supports and draw the complete shear-force and bending-moment diagrams. 460 N 120 N 180 N Dimensions in Spur mm 6.75 gear Bevel gear 11.0- 12.0 5.5

Draw the free-body diagram for the portion of machine structure shown in Figure 1. Determine the reactions at the supports and draw the complete shear-force and bending-moment diagrams. 460 N 120 N 180 N Dimensions in Spur mm 6.75 gear Bevel gear 11.0- 12.0 5.5

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.5.2P: ‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed...

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‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed by axial loads that have a resultant P = 60 kN acting at the midpoint of one side of the cross section (sec figure). Assuming that the modulus of elasticity £is equal to 210 GPa and that the ends of the bar are pinned, calculate the maximum deflection S and the maximum bending moment Mmax.
Can you provide me the step by step process of this? Thank you! Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and shear-force diagram are provided.MA = 22 kN-mMB = 10 kN-mAy = 17.00 kNBy = 13.00 kN
a) 1. The support reaction forces at the A and C, in terms of P,be careful of the sign. 2. Give the expressions of the shear and moment at an arbitrary poistion x of AB segment, in terms of P and x, be careful of the sign. 3. Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, in terms of P and x, be careful of the sign. b)Given l= 1000 mm, P= 4000 N and l1/l=0.66, calculate the internal shear force and draw the moment diagram
Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ft
A loaded beam, 60 mm wide by 100 mm high and 6 m long, has the shear and moment diagrams as shown below. Determine (a) the magnitude, type and location of the maximum flexural stress (in MPa) (b) the stress (specify the type) in a fiber 30 mm from the top of the beam at a section 3.5 m from the left end. I = bh3/12
A gantry crane of weight W=100 Kg moves across a bridge with the length /=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles. So it’s wrong answer 1136 N can anyone how to solve for it different ?
A cold drawn steel rod of circular cross-section is subjected to a variable bending moment of 565 Nm to 1130 N-m as the axial load varies from 4500 N to 13 500 N. The maximum bending momentoccurs at the same instant that the axial load is maximum. Determine the required diameter of the rodfor a factor of safety 2. Neglect any stress concentration and column effect. Assume the followingvalues:Ultimate strength = 550 MPaYield strength = 470 MPaSize factor = 0.85Surface finish factor = 0.89Correction factors = 1.0 for bending= 0.7 for axial load
1. A thin high-strength steel plate having a thickness of 40 mm has a height of 120 mm and length of 350 mm, is subjected to a moment at both ends = 66 kN.m. E = 28000 MPa Determine the bending stress of the steel plate in MPa a. 1440 b. 1855 c. 1344 d. 2063 e. 2333 Determine its radius of curvature in mm. a. 272 b. 558 c. 154 d. 434 e. 166 2. According the NSCP 2015, the first hoop for beams and girders shall be located not more than 50 mm from the face of the supporting columns. The maximum spacing of hoops shall not exceed... a. 150mm b. d/4 c 6 times bar diameter d. all of the above 3. Based on NSCP 2015 Seismic requirement on concrete girders (beams with special moment frames, which of the following most nearly gives the required width (bw) of beam if its overall height is 600 mm. a. 250mm b. 180mm c. 300mm d. 350mm e. 400mm PLEASE ANSWER ALL
To analyze a beam subjected to a vertical force and a triangular distributed load, determine the reaction forces acting on each of the supports, determine the minimum pin diameter for one support subjected to single shear, and determine the average shear stress in a pin support subjected to double shear. As shown, beam BC is subjected to a load of magnitude P = 780.0 kN and a triangular distributed load of w = 510.0 kN/m. The support rod AB is oriented at an angle of θ = 150.0 ∘ from the beam. Let a = 4.000 m and b = 13.00 m . Cross-sectional views are shown for B and C. Determine the reaction force at B. Determine the reaction force at C. If the average shear stress in the material is not to exceed τavg = 150.0 MPa , determine the minimum required diameter for the pin at B. If the diameter of the pin is d = 125.0 mm, what is the average shear stress in the pin at C.
To analyze a beam subjected to a vertical force and a triangular distributed load, determine the reaction forces acting on each of the supports, determine the minimum pin diameter for one support subjected to single shear, and determine the average shear stress in a pin support subjected to double shear. As shown, beam BC is subjected to a load of magnitude P= 780.0 kN and a triangular distributed load of w = 510.0 kN/m. The support rod AB is oriented at an angle of θ = 150.0 ∘ from the beam. Let a = 4.000 m and b = 13.00 m . Cross-sectional views are shown for B and C. 1) Part A: Determine the reaction force at B. 2) Part B: Determine the reaction force at C. 3) Part C: If the average shear stress in the material is not to exceed τavg = 150.0 MPa, determine the minimum required diameter for the pin at B. 4) Part D: If the diameter of the pin is d = 125.0 mm, what is the average shear stress in the pin at C.
For the system below b=0.04m, h=0.08m a) Calculate the reaction forces in terms of F andq.b) Calculate the internal shear force and moment as a function of x using cuts and summingforces and moments in terms of F, L, andq.c) Calculate the shear force and moments by integration in terms of x, L, F andq.d) Assuming a rectangular cross section compute the average normal stress for the case F =10kNat 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.e) With the cross section given above compute the average normal stress for the case F =10kN at30° at the point x = L/4, L = 1 m at each surface of the beam.f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 mand y = 0.02 m above the neutral axis.
W=464KN/m Using Three Moment Equation, determine all reactions at supports also, determine shear and bending moments with complete labels. Use I= 1/12 bh^3 and E = 2.15x10^7 KPa