Q1) A simply supported beam is 3 m long and carries a vertical load of 5 kN at point Im from the left-hand end. At a section 2 m from the left- hand end a clockwise couple of 3 kN.m is exerted, the axis the couple being horizontal and perpendicular to the longitudinal axis of the beam. The cross section of the beam shown in the figure. Determine the maximum bending stress set-up. k30 All dimensions in mm 120 NEERI 120

Q1) A simply supported beam is 3 m long and carries a vertical load of 5 kN at point Im from the left-hand end. At a section 2 m from the left- hand end a clockwise couple of 3 kN.m is exerted, the axis the couple being horizontal and perpendicular to the longitudinal axis of the beam. The cross section of the beam shown in the figure. Determine the maximum bending stress set-up. k30 All dimensions in mm 120 NEERI 120

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 5.11.1P: A prefabricated wood I-beam serving as a floor joist has the cross section shown in the figure. The...

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A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
A steel beam is built up from a W 410 × 85 wide flange beam and two 180 mm X 9 mm cover plates (see figure). The allowable load in shear on each bolt is 9.8 kN. What is the required bolt spacing s in the longitudinal direction if the shear force V = 110 kN Noie: Obtain the dimensions and moment of inertia of the W shape from Table F-l(b).
A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the figure. What is the maximum permissible bolt spacing s if the shear force V = 80 kN and the allowable load in shear on each bolt is F = 13.5 kN. Note: Obtain the dimensions and properties of the W shapes from Table F-l(b).
A prefabricated wood I-beam serving as a floor joist has the cross section shown in the figure. The allowable load in shear for the glued joints between the web and the flanges is 65 lb/in. in the longitudinal direction. Determine the maximum allowable shear force Vmax,for the beam.
A box beam is constructed of four wood boards as shown in the figure part a. The webs are S in, x 1 irt and the flanges arc 6 in. X 1 in. boards (actual dimensions), joined by screws for which the allowable load in shear is F = 250 lb per screw. Calculate the maximum permissible longitudinal spacing ,vfflax of the screws if the shear force ^is 12001b. Repeat part (a) if the flanges arc attached to the webs using a horizontal arrangement of screws as shown in the figure part b.
A frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?
Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
A beam having a cross section in the form of an un symmetric wide-flange shape (sec figure) is subjected to a negative bending moment acting about the 2 axis. Determine the width b of the top flange in order that the stresses at the top and bottom of the beam will be in the ratio 4:3, respectively.
A cant i levé r b ea m i s supported by a tie rod at B as shown. Both the tie rod and the beam are steel with E = 30 x 106 psi. The tie rod is just taut before the distributed load q = 200 lb/ft is applied. Find the tension force in the tie rod. Draw shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
During construction of a highway bridge, the main girders are cantilevered outward from one pier toward the next (see figure). Each girder has a cantilever length of 48 m and an I-shaped cross section with dimensions shown in the figure. The load on each girder (during construction) is assumed to be 9,5 kN/m, which includes the weight of the girder. Determine the maximum bending stress in a girder due to this load.