The beam shown below is subjected to an applied moment of 8kNm and a uniformly distributed load of 2kN/m, and is supported at A by a pinned connection and at B by a roller connection. Identify the corresponding shear force diagram from the options given below.
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A: From above fig we haveMoment of inertia from neutral axis is given asINA=Inertia of rectangular…
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Q: A rectangular beam 150mm wide by 250mm high carries a uniformly distributed load of 8kN/m and a…
A: given; dimension of rectangular beam(b*d)= 150mm*250mmlets take reaction force=R1lets take reaction…
Q: Q1) A simply supported beam is 3 m long and carries a vertical load of 5 kN at point Im from the…
A: Given: The forces acting on the beam are as:
Q: beam carries a concentrated load (10 KN) and a total uniformly distributed load of (5 KN/m) as shown…
A: To find: The maximum tensile and compressive bending stress developed in the beam. Given: The…
Q: simply supported wood beam with overhang is subjected to uniformly distributedload q. The beam has a…
A: A pin support will exert both horizontal and vertical components of reaction. The support A is pin…
Q: 4.0 kN/m 2 m 40.0 kN-m A 2 m 2 m 6.0 kN/m 6m → B W200 x 35.9 Section 100.2 mm 100.2 mm I. = 34.4×106…
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Q: A beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole span…
A: The schematic diagram of the beam is as follows: The free body diagram of the beam is as follows:
Q: 5.41 The inverted T-beam supports three concentrated loads as shown in the fig- ure. Find the…
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Q: An I' beam is made of three pieces of wood with dimensions shown below. Determine the value of the…
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Q: A rotating steel shaft is supported at the ends. It is subjected to a point load at the center. The…
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Q: A beam simply supported at the ends of a 25- ft span carries a uniformly distributed load of 1000…
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Q: A laminated beam is composed of four planks, each 6 in. by 2 in., glued together to form an outside…
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Q: Determine the absolute maximum normal stress (in unit of MPa) in the beam with external loadings…
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Q: DA rectangular beam 150mm wide by 250mm high carries a uniformly distributed load of 8kN/m and a…
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Q: A conveyor beam has the cross-section shown in Fig. 4.24 and it is subjected to a bending moment in…
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Q: Question 1: [Shear stresses and bending moments] A beam ABCDEF is 10 m long and is supported at…
A: Given data, Beam is ABCDEF ie. A to F , Simply support at B and E Distance between A nd B is 2 m…
Q: Q2 A beam of 4-m span is in the form of a cross bar as shown in Fig. (2) It carries a uniformly…
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Q: To analyze a beam subjected to a vertical force and a triangular distributed load, determine the…
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Q: A beam with a half-circular cross-section with radius R = 1.7 in is subjected to a maximum positive…
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Q: Problem 3: Calculate the maximum shear stress in the following beam section due to an internal shear…
A: Find the maximum shear stress .
Q: Q.5. A beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole…
A: l = 8m b = 0.2m d = 0.4m udl load = 320KN at center: 4m from left concentrated load = 150KN: 3m from…
Q: Q5: A hollow stcel pipe (D 100 mm; d= 75 mm) supports a concentrated load of P = 10 kN. The span…
A: given : V = 10KN D = 100 mm , d = 75 mm
Q: A 1.6-m-long cantilever beam supports a concentrated load of P= 7.2 kN. The beam is made of a…
A: solution given data L=1.6m P=7.2 KN b=120mm d'=280mm d=85mm
Q: In Problem 4 (above), what is the shear force in section AB. Also, draw and label the shear diagram…
A: Solving question no 5 only Pls, repost the question with a specified question to be solved. As per…
Q: The beam shown below is subjected to a point load of 10kN and a uniformly distributed load of 3kN/m,…
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Q: To analyze a beam subjected to a vertical force and a triangular distributed load, determine the…
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Q: The channel section carries a uniformly distributed load totaling 6W and two concentrated loads of…
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Q: 5.41 The inverted T-beam supports three concentrated loads as shown in the fig- ure. Find the…
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Q: The following beam is constructed of four wood boards as shown and resists a vertical shear force V…
A: a) Section properties : I = 1123×0.75×0.75 =0.046875 in4 Q = y^A'=0.752×3×0.75 = 0.84375 in4 There…
Q: The overhanging beam ABC of span 5.4 m is constructed of a W360 X 216 rolled-aluminium shape. It…
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Q: Determine the absolute maximum shear stress (in unit of MPa) for the point H on the bottom surface…
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Q: The compound beam shown in (Figure 1) is subjected to a uniform dead load of 300 lb/ft and a single…
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Q: A beam has a rectangular cross section 80 mm wide and 120 mm deep. It is subjected to a bending…
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Q: 6 kN/m +x 18 kN-m A B D 3.0 m- 3.0 m- 4.0 m An l-section Beam ABCD is pin supported at points B and…
A: For solution refer below images.
Q: The beam given in the figure below is subjected to the uniform distributed load of w350 kN/m. (a)…
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Q: A girder ABCDE bears on a wall for a length BC and is prevented from overturning by a holding-down…
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Q: The shear stress at the neutral axis in a beam of triangular section with a base of 40 mm and height…
A: Given data : Shear force =V V=3 KN Height=h h=20 mm Base=B B=40 mm To find : Shear stress at…
Q: For the beam shown in Fig. Determine the value of the mm distributed load W if the maximum shear…
A: Given beam
Q: From the given figure below, determine the minimum width of the beam if the flexural stress is not…
A: The minimum width of the beam: bmin = 231.11 mm
Q: simply supported beam with a length of 4m is loaded with a uniform distributed load (w). The beam…
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Q: 5.41 The inverted T-beam supports three concentrated loads as shown in the fig- ure. Find the…
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Q: The composite beam in Fig. a is made of wood and reinforced with a steel strap located on its bottom…
A: Firstly transform the section into the steel bsteel=nbwood bsteel=(12/200)(150)=9mm To find out the…
Q: H 125 mm 150 mm 125 mm 125 mm 300 mm 125 mm 2 m 35 KN/m 5m 20 KN 3 m
A: Solution; The reaction at the support is calculated as: ΣFy=0RA+RB=35(10)+20=370…
Q: For the cantilever beam (with a uniform load) shown below, determine the maximum shear and flexural…
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Q: A beam of circular cross-section has a length of 5m and is simply supported at its ends. It is…
A: Given data: The length of the beam is L=5 m The maximum bending stress is σb=13 MPa The maximum…
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- -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 flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?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 cross section of a narrow-gage railway bridge is shown in part a of the figure. The bridge is constructed with longitudinal steel grinders that support the wood cross ties. The bridge is constructed with longitudinal steel girders that support the wood cross ties. The girders are restrained against lateral buckling by diagonal bracing, as indicated by the dashed lines. The spacing of the girders is S1= 50 in. and the spacing of the rails is s2= 30 in. The load transmitted by each rail to a single tie is P = 1500 1b. The cross section of a tie, shown in part b of the figure, has a width b =5.0 in. and depth d. Determine the minimum value of d based upon an allowable bending stress of 1125 psi in the wood tie. (Disregard the weight of the tie itself.)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.A wood beam AB with a rectangular cross section (4 in. × 6 in.) serving as a roof purlin is simply supported by the top chords of two adjacent roof trusses. The beam is subjected to distributed load q acting in the vertical direction through the centroid of the purlin cross section. The top chords of the trusses have a slope of = 27°. The purlin has length L =75 in. Determine the permissible distributed load q based on the allowable compressive and tensile stress in the beam eall = 2 ksi.
- Continuous cable ADB runs over a small friction less pulley at D to support beam OABC, which is pan of an entrance canopy for a building (see figure). A downward distributed load with peak intensity q0= 5 kNVm al O acts on the beam (see figure). Assume that canopy weight W = S kN and that the cable cross-sectional area is 100 mm". What is the required diameter of pins A, B. and D if the pins are in double shear and the allowable shear stress is SO MPa? Note that dimensions OA = AB = BC = 1.5 m.A retaining wall (Fig. a) is constructed using steel W-shape columns and concrete panel infill (Fig, b). Each column is subjected to lateral soil pressure with peak intensity q0(Figs, b and c). The tensile and compressive strength of the beam is 600 MPa. Select the most economical W 360 section from Table F-l(b) based on safety factor of 3.0.A square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual thickness 1.5 in.; sec Appendix CL) supported on two S-ft long beams. The beams have 4 in. × (i in. nominal dimensions (actual dimensions 3.5 in. × 5.5 in.). The planks arc designed to support a uniformly distributed load n ( lb/ft" i acting over the entire top surface of the platform. I be allowable bending stress for the planks is 2400 psi and the allowable shear stress is 100 psi. W ben analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over the top surfaces of the supporting beams. (a) Determine the allowable platform load Mr. (lb/ft2) based upon the bending stress in the planks. (b) Determine the allowable platform load if-. (lb/ft-) based upon the shear stress in the planks. (c) Which of the preceding values becomes the allowable load alolow on the platform? Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.
- Two steel tubes are joined at B by four pins (dp= 11 mm), as shown in the cross section a—a in the fiaure. The outer diameters of the tubes are dAB= 41 mm and dBC= 28 mm. The wall thickness are tAB= 6.5 mm and tBC= 7.5 mm. The yield stress in tension for the steel is sy = 200 MPa and the ultimate stress in tension is ??U:= 340 MPa. The corresponding yield and ultimate values in shear for the pm are 80 MPa and 140 MPa, respectively. Finally, the yield and ultimate values in bearing R between the pins and the tubes are 260 MPa, and 450 MPa, respectively. Assume that the factors safety with respect to yield stress and ultimate stress are 3.5 and 4.5. respectively. (a) Calculate the allowable tensile force P allowconsidering tension in the tube (b) Recompute P allowfor shear in the pins.(c)Finaly, recomputed Pallowfor bearing between the pm and the tubes. Which is the tubes. Which is the controlling value value of P?Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned with the top of the beam as shown in the figure.‘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.