8-41. Specify a suitable wide-flange beam to be made from ASTM A992 structural steel to carry the load shown in Figure P8-41 based on the design stress in bending. Then, for the beam selected, compute the shearing stress from the web shear formula and compare it with the design shear stress. NGUZE PS-30 nit 8 ft 15 K 4 K/ft at 8.1 8 ft 12 K | 4 ft 2A-6438008 21 [(d))-A xibrag | jpansio busbrate noiteose A causnimulé 29 ari ni mworla bool sritys of botiga d tast agies s

8-41. Specify a suitable wide-flange beam to be made from ASTM A992 structural steel to carry the load shown in Figure P8-41 based on the design stress in bending. Then, for the beam selected, compute the shearing stress from the web shear formula and compare it with the design shear stress. NGUZE PS-30 nit 8 ft 15 K 4 K/ft at 8.1 8 ft 12 K | 4 ft 2A-6438008 21 [(d))-A xibrag | jpansio busbrate noiteose A causnimulé 29 ari ni mworla bool sritys of botiga d tast agies s

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.15P: -15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide)....

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Calculate the distance e from the centerline of the web of a C 310 × 45 channel section to the shear center E (see figure). Note: For put poses of analysis, consider the flanges to be rectangles with thickness îrequal to the average flange thickness given in Table F-3(b) in Appendix F.
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
Q/ For the beams and loading shown below. A-Draw the shear force and bending-moment diagrams. B- Determine the equations of the shear force and bending-moment curves for the segments CD in Figure 2 C- Compute the bending stress at point (a) on section C. D- Determine the values and locations of the maximum tensile and compression bending stresses. Figure (2) R Point a Radius of hole: 40kN 0.5m 30 20KN/m 0.7m A B D |B 1m Im 3m Radius = R= 100 mm
Find the max shear stress in bending in the cross section below if Vmax = 10 kips. 10" Flange 2" Web 2" 8" Flange 2" 10" • Identify where in the cross section the max shear will occur. Determine the thickness of the cross-section at the location you wish to find shear stress. • Calculate the Ix for the shape (assume bending in the x with most basic beams). • Calculate Q by dividing the section into two pieces at the point you want shear stress. Select one of the pieces (either will work), I picked the top piece. Use the Shear Stress equation to determine the requested stress. Compare you answer: Max shear stress = at the center of the cross section.
A 20KN/m 4m R₁ R₂ Compute the following: (1-2) Vc = ((3-4) Mc (5-6) V₁ = (7-8) MD= (9-10) Max. Moment occurs @ x = _____m from left support. (11-15) Draw completely the shear and bending moment diagrams( do this below the load problem). C 10 KN 4m = D B 2m
QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.
If the shear force is 50 kN, calculate the shear load per metre length at the top of the flangeof the T-section. [Start your calculations by setting the origin on the bottom of the cross- section].
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
Find the max shear stress in a 200mm tall, 150mm wide rectangular cross section using the appropriate reduced shear stress equation. Assume Vmax = 12kN. Find the max shear stress in a W12x50 cross-section using the appropriate estimated shear stress equation. Assume Vmax = 236kips. Find the max shear stress in bending in the cross section below if Vmax = 10 kips. 10" Flange 2" Web 2" 8" Flange 2" 10" • Identify where in the cross section the max shear will occur. • Determine the thickness of the cross-section at the location you wish to find shear stress. • Calculate the Ix for the shape (assume bending in the x with most basic beams). • Calculate Q by dividing the section into two pieces at the point you want shear stress. Select one of the pieces (either will work), I picked the top piece. • Use the Shear Stress equation to determine the requested stress. • Compare you answer: Max shear stress = at the center of the cross section.
FIGURE PS-66 500 N/m 0.60 m 1 Compute tbe reactions at the supports using the toch niques shown in Section 5-2, 2 Draw the complete shearing force and bending noment dagrams using the techniques shown in Sections 5-3 through 5-8, 3. Determine the magnitude and location of the maximum absolute value of the shearing force and bending moment
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay= Dy = a M. B a PB Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) PB Pc a Pc kN b KN D b D X D X
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w=20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. "| Answers: By= Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…