Use the graphical method to construct the shear-force diagram and identify the magnitude of the largest shear force (consider both positive and negative). The ground reactions at the wall of the cantilever are provided. L₁= 14.00 ft L₂= 7.75 ft Vc = 87.00 kips Mc = 621.875 kip-ft 20 kips 70 kips

Use the graphical method to construct the shear-force diagram and identify the magnitude of the largest shear force (consider both positive and negative). The ground reactions at the wall of the cantilever are provided. L₁= 14.00 ft L₂= 7.75 ft Vc = 87.00 kips Mc = 621.875 kip-ft 20 kips 70 kips

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /...

See similar textbooks

Similar questions

A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is loaded by a linearly varying distributed force with maximum intensity of q0, Find the maximum shear stress in the pole.
The cross section of a slit square tube of constant thickness is shown in the figure. Derive the following formula for the distance e from the corner of the cross section to the shear center S: e=b22
Calculate the maximum shearing stress developed in a phosphor bronze spring having mean diameter of 150 mm and consisting of 24 turns of 10-mm diameter wire when the spring is stretched 180mm. Use A.M. Wahl's formula and G=42 GPa. Group of answer choices 24.336 MPa 36.689 MPa 48.778 MPa 12.233 MPa
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
Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 KN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m² and 100 MN/m² respectively. Ans: [27.6, 19.5, 19.5, 13.8mm.]
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
2. The W360 x 262 section carries a vertical shear force of 650 kN. For this section, calculate:(a) the minimum shear stress in the web;(b) the maximum shear stress in the web and(c) the percentage of the vertical shear force carried by the web.
The 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 method
The connecting rod of a four stroke cycle Diesel engineis of circular section and of length 550 mm. The diameter and stroke of the cylinder are 150 mm and240 mm respectively. The maximum combustion pressure is 4.7 N/mm2. Determine the diameter ofthe rod to be used, for a factor of safety of 3 with a material having a yield point of 330 MPa.Find also the maximum bending stress in the connecting rod due to whipping action if the engine runsat 1000 r.p.m. The specific weight of the material is 7800 kg/m3. [Ans. 33.2 mm ; 48 MPa]
Property ASTM A710 Steel AA 7075 Density 7.8 2.81 Yield Strength 585 503 Ultimate Tensile Strength 620 572 Poisson Ratio 0.29 0.33 Shear Modulus 80 26.9 Young’s Modulus 205 71.7 Dimensions Side bar (C-Channel) = 210 x 76 x 6 mm Front Overhang = 935 mm Rear Overhang = 1620 mm Wheel Base = 3800 mm Width = 2250 mm Capacity = 8000 x 9.81 = 78480N Capacity with 1.25% = 98100N Weight of body and engine = 19620N Total load = 117720N Load acting on a single bar of chassis = 58860N Using the information above for two materials Iron (ASTM A710 Steel ) and Aluminum (AA 7075) Calculate for each Material Reaction Force Shear Forces Bending Moment Bending Stress Shear Stress Von Misses Stress Principle Stress Max Shear Stress Total Deflection Draw the Shear Force and bending moment Diagram for each Material. Draw the Equivalent Mohr Circle for each material Conclude with a Comparison of the Deformation of the two Materials.
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.