A cast-iron beam 12 m long is supported on top of two supports positioned at distances "a" and "b" from the ends. The beam camies a unifomly distributed load "w" N/m (including its own weight). The allowable stresses are 25 MN/m^2 for bending in tension and 90 MN/m^2 for bending in compression. The inverted T- beam section has a moment of inertia of 36x10^6 mm^4 with its neutral axis 180 mm from the top and 50 from the bottom of the section. a) Determine the positive moment capacity. b) Determine the negative moment capacity. c) If a = 1m and b = 1.6 m, find the safe value ofw?

A cast-iron beam 12 m long is supported on top of two supports positioned at distances "a" and "b" from the ends. The beam camies a unifomly distributed load "w" N/m (including its own weight). The allowable stresses are 25 MN/m^2 for bending in tension and 90 MN/m^2 for bending in compression. The inverted T- beam section has a moment of inertia of 36x10^6 mm^4 with its neutral axis 180 mm from the top and 50 from the bottom of the section. a) Determine the positive moment capacity. b) Determine the negative moment capacity. c) If a = 1m and b = 1.6 m, find the safe value ofw?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Refer to the beam loaded as shown. (a)What is the Value of horizontal reaction at the fixed support?(b)What is the value of resulting couple at A?
The main beam of UB 610 x 229 x 101 kg/m in steel grade S275 supportssecondary beamsof UB 406 x 140 x 39 kg/mon its top flange.The schematic diagram of the floor supported by the beams is presented in Figure 1. b)The slab floor is reinforced concrete 150 mm thickwith 50 mm screed on top of it. The slab floor carriesthe uniform distributed load of 400 kg/m2.Calculate the ULS load on the secondary beam. 4xxx= 4715 1xxx= 1715 50xx= 5015
A horizontal steel girder of uniform section, 15 m long, is supported at its extremities and carries loads of 120 kN and 80 kN concentrated at points 3 m and 5 m from the two ends, respectively. I for the section of the girder is 1.67 x lO-3 m' and E = 200 GN/m2. Calculate the deflections of the girder at points under the two loads. (Cambridge)
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 14100 ksi] rods, and a solid steel [E = 30100 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.8 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.49 in. Assume L1=31 in and L2=61 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 18 kips is applied.
A rigid beam ABC is supported at C by a pin support, and at A and B by timber struts AD and BE which are in turn supported by pin supports at D and E respectively (Figure 1). The struts AD and BE are constructed using F11 timber (refer Figure 2) with square cross section 40 mm x 40 mm. A uniformly distributed load of 10 kN/m acting horizontally to the right is applied along the complete length ABC. Under the action of this load, in addition to any changes in the lengths of the struts, the pin support at C settles by 1 mm to the right. Assume that the beam and struts are weightless and that the struts will not buckle. (a) Using equilibrium and compatibility considerations determine the support reactions at C, D and E. Hint: Since the struts AD and BE can transfer only axial force, the reactions at D and E act horizontally (that is, there are no vertical reaction components at D and E). (b) Find the normal stress, normal strain and change in length of strut AD.
A floor slab 100 mm thick is cast monolithically with beams 300 mm wide 500 mm deep spaced 2 m on centers, on simple supports over a span of 6.0 m. The floor supports a superimposed service dead load of 1.77 kPa and service live load of 4.8 kPa. Using f’c = 21 MPa, long bar fy = 415 MPa, calculate: Using a T-beam geometry, determine the required amount of flexure bars for maximum ultimate bending. = [As] sq.mm (whole number)
Determine the crippling load for the “T”section of length 5m when it is used as a strut with both ends hinged. E=2.0x105 N/mm2
A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L, = 2.3 m, width b, and height h = 3b/2. The dimensions of the balcony floor are L, x L2, with La = 2.7 m. The design load is 6.5 kPa acting over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.5 kN/m^3 --) The allowable bending stress in the cantilevers is 45 MPa (a) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension b. Round to the nearest whole number. mm (b) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension h. Round to the nearest whole number. h = mm
Take 2 KN/m in place of 1.5. Determine support reaction
Consider the beam shown below. Take P = 5 kip and w = 1.7 kip/ft. Point E is just to the right of the 5-kip load. Follow the sign convention. a) Determine the normal force at point D. Express your answer in kilopounds to three significant figures. b) Determine the shear force at point D. Express your answer in kilopounds to three significant figures. c) Determine the moment at point D. Express your answer in kilopound-feet to three significant figures.
A 100 mm x 200 mm beam 6 m long is supported by a roller at its ends and at midspan. It carries a uniform load of 7.5 kN/m excluding its own weight, if the Weight of the wood is 5.6 kN/m² and the support at midspan is 26.5 kN, Determine the shear and moment diagram of the beam.
A) Define the bending stress as relates of beams. B)A fixed AB length 3m carries a point load of 45KN at a distance of 2m from A.if the flexural rigity (i.e. EL)is 1×10^4KNm^2, determine: I) fixed end moment A and B II) Deflection under the load III) the maximum deflection IV) The position of the maximum deflection.