QI: An -section shown in Fig. is simply supported over a span of 15 m. If the maximum permissible bending stress is 90 N/mm", what concentrated load can be carried at a distance of 5 m from one support? 100 m imm W 15 m 11.5 m
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- A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.-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.A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, and 1.5 in. thick. What is the maximum bending stress in the board?
- 2. A cantilever of length 5 m carries a UDL of 2 KN/m over the whole length and a point load of 4 KNm at the free end. Draw the shear force and bending moment diagrams for the cantilever. [Max. SF = 14 KN; Max. BM =-45 KN-m] %3D 3. A cantilever 2.5 m long carries a UDL of 60 KN/m at a length of 1.8 m from the free end. Draw the shear force and bending moment diagram.a 80 mm wide and 300 mm high simply supported bean has a length of 7.4 m and supports a concentrated load of 7.2 kN acting at the midspan. Find the maximum shear stress and maximum bending stress.Consider the frame below: 15 m 125 mm 15 m From the options below, choose the diagram that best represents the internal bending moment distribution throughout the whole frame:
- 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 DyA 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 2mA uniform wind load of q = 0.2 kN/m? acts on the billboard with dimensions of b = 1.5 m and a = 1 m. The allowable normal stress is oalow = 140 MPa, c = 0.5 m for the circular cross section panel pole. Draw the shear force, bending moment and torsional moment diagrams for the panel pole. a) Calculate the cross-section diameter d, using the maximum shear stress (Tresca) criterion. b) Calculate the cross-section diameter d, using the maximum distortional energy (von Mises) criterion. SOLUTION kesit
- 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.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 XThe strut on the utility pole supports the cable having a weight of P = 300 lb. (Figure 1) Figure 1.5 ft -2 ft- 4 ft 1 B < 1 of 1 2 in. HT I4 in. Part A Determine the absolute maximum bending stress in the strut if A, B, and C are assumed to be pinned. Express your answer in kilopounds per square inch to three significant figures. omax = Submit Provide Feedback VO VE ΑΣΦ AΣ vec Request Answer ? ksi