Q # 1. A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cmfrom the top. Assuming the pre-stress in the steel as 840 N/mmf. Calculate the stresses at the extreme fibersof the mid span section when the beam is supporting its own weight over a span of 6 m. If a uniformlydistributed live load of 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density ofconcrete is (P+20) kN/m³.200 mm25 mmLive load- 6 kN/m300 mm6 m65 mmQ # 2. An un-symmetrical section beam is used to support an imposed load of 2 kN/m over a span of 8 m. Theottom flange, 100 mm wide and 60 mmsectional details are top flange. 300 mm wide and 60 mm thickthick; thickness of the web = 80 mm; overall depth of the beam= 400 mm. At the centre of the span, theeffective pre-stressing force of (P+100) kN is located at 50 mm from the soffit of the beam. Estimate thestresses at the centre of span section of the beam for the following load conditions:a) Pre-stress and self-weightb) Pre-stress, self-weight and live load.300 mm60 mimLIVE load 2 kNmS00 mm6-194 imim60 mm100 rmim

A rectangular beam with the slab-shaped as T and also takes up the compressive stresses which means,…

A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15 wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cm from the top. Assuming the pre-stress in the steel as 840 N/mm. Calculate the stresses at the extreme fibers of the mid span section when the beam is supporting its own weight over a span of 6 m. If a uniformly distributed Ilive load of 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density of concrete is (P+20) kN/m³. 200 mm 25 mm Live load -6 kN/m 300 mm 6 m 65 mm

A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15 wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cm from the top. Assuming the pre-stress in the steel as 840 N/mm. Calculate the stresses at the extreme fibers of the mid span section when the beam is supporting its own weight over a span of 6 m. If a uniformly distributed Ilive load of 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density of concrete is (P+20) kN/m³. 200 mm 25 mm Live load -6 kN/m 300 mm 6 m 65 mm

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter9: Composite Construction

Section: Chapter Questions

Problem 9.1.3P

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. A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cmfrom the top. Assuming the pre-stress in the steel as 840 N/mm2. Calculate the stresses at the extreme fibersof the mid span section when the beam is supporting its own weight over a span of 6 m. If a uniformlydistributed live load of 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density ofconcrete is (8+20) kN/m3.
A concrete post is reinforced with 4-28mm diameter steel bars. Compute the stress in each material if it carries a 1000kN compressive force. Esteel = 200 GPa and Ec = 15 GPa
A simply supported wood beam that is 12.9 m long carries a 30 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 150 mm, d = 380 mm, a = 100 mm, and c= 35 mm. Section a-a is located at x = 2.2 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length.
The concrete post shown is reinforced axially with four symmetrically placed steel bars each of cross-sectional are 900mm^2. If the 1000 kN axial load is applied and the moduli of elasticity are 200 GPa for steel and 14 GPa for concrete. Determine a) the stress in each of the steel bars, and b) the stress in the concrete.
A simply supported wood beam that is 4.2 m long carries a 38 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 350 mm, a = 105 mm, and c = 15 mm. Section a–a is located at x = 0.7 m from B.(a) At section a–a, determine the magnitude of the shear stress in the beam at point H.(b) At section a–a, determine the magnitude of the shear stress in the beam at point K.(c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span.(d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. Draw a horizontal line through point H. Use the area above this line to calculate the first moment of area associated with point H.Answer:QH = mm3
A simply supported wood beam that is 9.0 m long carries a 30 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 140 mm, d = 420 mm, a = 105 mm, and c = 20 mm. Section a–a is located at x = 1.5 m from B.(a) At section a–a, determine the magnitude of the shear stress in the beam at point H.(b) At section a–a, determine the magnitude of the shear stress in the beam at point K.(c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span.(d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length.
A concrete beam, 600 mm wide and 700 mm deep is simply supported over a length of 6m. The beam has six 20 mm reinforcing bars placed at 60 mm from the base of the beam. The load on the beam is 16 kN/m, including the weight of the beam. Calculate the stress in the steel and the concrete if the modular ratio is 15.
The continuous beam and post system shown below supports a 10 kip vertical load and a5 kip horizontal load. Determine the combined normal stress at point “A” and point “B”.State if the points are in tension or compression.
A reinforced concrete column 250mm in diameter is designed to carry an axial load of 420KN. Using allowable stresses of σs = 120MPa and σc = 6MPa, determine the required number of 20mmΦ of reinforcing steel. Assume that the moduli of elasticity are Es = 200GPa, and Ec=14Gpa.
The concrete I-beam of attached figure "a" is prestressed with four stranded cables having total area Ap = 0.575 in^2. Eccentricity of the steel varies parabolically from 0 at the supports to 7.58 in. at the center of the 30-ft span. The effective stress in the steel after losses is 132,000 psi. (a) What uniformly distributed superimposed load will produce cracking of the beam, given that the modulus of rupture fr = 475 psi? (b) What superimposed load will produce a balanced condition of external and equivalent prestressed load, such that uniform axial compression will be obtained in the concrete? (c) For the balanced load just computed, would the midspan deflection be downward, upward, or zero? Explain.
A timber beam in an existing building is 200 mm wide and 380 mm deep and is simply supported at the ends of 4 6 m span. A) Calculate the safe uniformly distributed load for the timber alone if the bending stress must not exceed 7 N/mm2. B) It is proposed to strengthen the beam to enable it to carry a uniformly distributed load of 150 kN by bolting two steel plates to the beam as shown below. Calculate the required thickness t of the plates if the plates if the maximum permissible stress for the steel is 140 N/mm2 and the modular ration is 24
A reinforced concrete T-beam has the following properties: Flange width, bf = 1350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f'c = 21 MPa Steel strength, fy = 415 MPa If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage (mm, 2 decimal places). What is the condition of failure? (Balanced, Tension controlled, Compression controlled, Transition). Calculate the design moment strength of a typical interior beam (kN-m, whole number).