H.W 1 A beam is subjected to equal bending moments of M = 45 kip-ft, as shown in Figure 1a. The cross-sectional dimen- sions (Figure 1b) are by =7.5 in., d, = 1.5 in., by = 0.75 in., dz = 6.0 in., b3 = 3.0 in., and dz = 2.0 in. Determine (a) the centroid location, the moment of inertia about the z axis, M. and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. MA

H.W 1 A beam is subjected to equal bending moments of M = 45 kip-ft, as shown in Figure 1a. The cross-sectional dimen- sions (Figure 1b) are by =7.5 in., d, = 1.5 in., by = 0.75 in., dz = 6.0 in., b3 = 3.0 in., and dz = 2.0 in. Determine (a) the centroid location, the moment of inertia about the z axis, M. and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. MA

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

Rigid bar DB in the figure is supported at pin B by axial member ABC, which has a cross-sectional area of A1 = A2 = 85 mm², an elastic modulus of Ej = E2 = 1000 MPa, and lengths of L = 390 mm and L2 = 645 mm. Aload of Q = 555 N is applied at end Cof member (2), and a load of P = 1425 N is applied to the rigid bar at a distance of a = 85 mm from pin support D and b = 45 mm from pin B. Determine the magnitudes of the downward deflections of: (a) pin B. (b) pin C. A |(1) Rigid bar B a b. L2 (2) (a) VB = i mm (b) vc = i mm
Compound axial member ABC has a uniform diameter of d = 2.1 in. Segment (1) is an aluminum [E1 = 10,000 ksi] alloy and segment (2) is a copper [E2 = 17,000 ksi] alloy. The lengths of segments (1) and (2) are L1 = 74 in. and L2 = 135 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.40 in. %3D L1 L2 A d Aluminum В (2) Copper Answer: kips P = i
Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 120 in. Rod (1) has a length of L1 = 87 in. and a cross-sectional area of A1 = 0.65 in.2. Rod (2) has a length of L2 = 84 in. and a cross-sectional area of A2 = 1.15 in.2. Rigid bar ABC is to remain horizontal under a load of P = 25 kips. Determine the distance x (in inches rounded to the nearest tenths) from joint A to the location of load P so that bar ABC remains horizontal.
A wide flange is used as a beam that is simply supported at its ends.The properties are shown.A = 19600 mm². by = 229 mmL = 1249 x10^4mm te=14 mm Tx = 25.4 mm tr = 24.9 mm ly = 49.5 x10^4mm d = 623 mm Ty = 50.5 mm If the beam is laterally supported at supports only, determine the allowable bending stress for a length of; 1. 2m 2. 4m 3. 6m 4. 8m
The force in DB of the truss shown in below figure is W 5m 2W 5m W B. O 5 W tension O vW tension 2 W compression O v3 W compression
The steel framework is used to support the reinforced stone concrete slab that is used for an office. The slab is 200 mm thick. Sketch the loading that acts along members BE and FED. Take a = 3 m, b = 4 m. Hint: See Tables 1.2 and 1.4.
#4 correct units pls
The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 470 mm tw = 14 mm d = 120 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3330 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 428040000 mm4. If the beam will be subjected to a shear force of V = 225 kN, determine the shear stress at point H, located at yH = 110 mm above the z centroidal axis.
The frame shown is supported by fixed support at E and smooth surface at A. Find: • the internal forces exerted by the internal Pin at B. Bx=... By=.. • The internal force at D 600 N 0.4 m B 0.4 m A E -0.3 m- -0.3 m- -0.3 m 3 m- -0.3 m-
The force in DB of the truss shown in below figure is W A C O VW tension 5m √3 W compression 2 W compression 5 W tension E D 2W 5m B
Compound axial member ABC has a uniform diameter of d = 2.1 in. Segment (1) is an aluminum [E1 = 10,000 ksi] alloy and segment (2) is a copper [E2 = 17,000 ksi] alloy. The lengths of segments (1) and (2) are L1 = 62 in. and L2 = 135 in., respectively. Determine the force P required to stretch compound member ABC by a total of 0.45 in.
The beam section given in the figure is under the influence of M = 5 kN.m bending moment. Section C and B ' Calculate the normal stresses that will occur at the points. E = 200 GPa. (N-A axis weight passes through the center.)