A rectangular reinforced concrete beam having a single span of4.50m carries a service dead load of 20 kN/m and a service liveload of 35 kN/m all throughout its length. Steel covering is 75mm measured from the centroid of the tension steel. Concretestrength is f'c = 28 MPa and steel yield strength is fy = 415 MPa.a. What is the maximum moment due to the factored loads?b. Which of the following most nearly gives the least dimensionsof the beam using the maximum allowable reinforcement ratio?i. 200 x 450 mmii. 200 x 475 mmiii. 225 x 450 mmiv. 225 x 475 mmc. What is the steel area using the dimensions obtained above?

data we have effective span L =4.5 mdead load = 20 kn/mlive load =35 kn /msteel convergingd =75mmfc…

Answered: rom the centroid of the tension steel.…

rom the centroid of the tension steel. 28 MPa and steel yield strength is fy aximum moment due to the factored Following most nearly gives the least

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

The rigid bar of ABCD of negligible weight is supported hinge at A, steel rod at B and bronze rod at D. The properties of the rods are given in the Table. The assembly is initially stress-free. If the temperature rises by 20 degrees Celsius after a load W = 140 kN is applied, determine (a) the stress in the steel rod and the bronze rod and (b) the deformation of the steel rod and bronze rod
etermine the elongation of a 0.5-in, dianeter sterl bar The elastic modulus of the steel bar is 27000 kar. 2000 Ib 10 ft
Steel bar of cross-section 550mm2 is acted upon by the forces shown in figure. For steel, E = 200GPa. Compute the stress in BC Compute deformation of AB Compute the total elongation of the assembly.
I'd think that the bending stress of B is the result given in D and viceversa. Why is that not the case?
The aluminum rod AB (Gal = 27 GPa) is bonded to %3D the brass rod BD (Gpr = 39 GPa). The portion CD of %3D the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T. 60 mm 2T 36 mm T 250 mm 375 mm 400 mm
The brass wire has a triangular cross section, 2mm on a side. The yield stress for brass is Ty= 208 MPa. Gbr= 37 GPa. Determine the maximum torque to which it can be subjected so that the wire will not yield and the angle of twist
H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in Figure 3. mensions of the composite cross section are b1 = 80 mm, d¡ = 240 mm, b2 = 10 mm, d2 = b2 The di- |di 120 mm, and a = 60 mm. Deter- (2) (2) %3D mine the maximum bending (1) a stresses produced in both the wooden beam and the aluminum b1 plates if a bending moment FIGURE 3 +6,000 N m is applied M2 %3D about the z axis. Assume that Ej = 12.5 GPa and E2 = 70 GPa.
Chek which is correct.
The steel bar AB has a diameter of 30mm and is connected to the brass bar BC. The two bars are fixed to unyielding supports at the top (point A) and bottom (point C) ends. If there is a temperature rise of 50°C, calculate the compressive force induced in the rods (ABC). Note: For steel (E = 200 GPa, as = 11.7 x 106 °C) and for brass (E = 105 GPa, qb= 20.9 x 10-6/ °C). 250 mm 300 mm A B -30-mm diameter -50-mm diameter
The rigid bar ABCD supports point loads at A and D and is being supported by two bars at B and C. Determine the absolute value of the deformation at point C. (in mm) 120KN 4m Sm A B L= 6m 9o kN L-4m A= 0.04 m A = 0.0 6m² E=200 GAa E=80 GPa
b. Discuss how the figure below and determine the rigid bar BDE as used to support by two link AB and CD. 0.4 m 0.3 m B D 0.4 m 30 kN E 0.2 m The Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 500 mm2. Link CD is made of steel (E = 200 GPa) and has a cross- sectional area of (600 mm2). For the 30-kN force shown, determine the deflection a) of B, b) of D, and c) of E.
Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E1 = 10000 ksi] alloy. The length of segment (1) is L1 = 100 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 140 in. When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of ɛ2 = 2300 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L2 (1) Aluminum B (2) Copper Answer: in, AL = i